Search a number
-
+
21312234505260 = 223253722371430503
BaseRepresentation
bin1001101100010001001000…
…01010101100010000101100
32210110102121021012012222100
410312020210022230100230
510243134424013132020
6113154412205415100
74326521016205656
oct466104412542054
983412537165870
1021312234505260
1168775168510a6
12248255426a490
13bb7972cbb7aa
145397366296d6
1526e5a7deea90
hex1362242ac42c

21312234505260 has 144 divisors (see below), whose sum is σ = 66424057068096. Its totient is φ = 5527185071616.

The previous prime is 21312234505189. The next prime is 21312234505283. The reversal of 21312234505260 is 6250543221312.

21312234505260 is a `hidden beast` number, since 2 + 1 + 3 + 122 + 3 + 4 + 5 + 0 + 526 + 0 = 666.

21312234505260 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213122345052602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14183169 + ... + 15613671.

It is an arithmetic number, because the mean of its divisors is an integer number (461278174084).

Almost surely, 221312234505260 is an apocalyptic number.

21312234505260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312234505260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212028534048).

21312234505260 is an abundant number, since it is smaller than the sum of its proper divisors (45111822562836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21312234505260 is a wasteful number, since it uses less digits than its factorization.

21312234505260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432792 (or 1432787 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 21312234505260 its reverse (6250543221312), we get a palindrome (27562777726572).

The spelling of 21312234505260 in words is "twenty-one trillion, three hundred twelve billion, two hundred thirty-four million, five hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2237 3330 4474 6660 6711 8948 11185 13422 20133 22370 26844 33555 40266 44740 67110 80532 82769 100665 134220 165538 201330 248307 331076 402660 413845 496614 744921 827690 993228 1241535 1430503 1489842 1655380 2483070 2861006 2979684 3724605 4291509 4966140 5722012 7152515 7449210 8583018 12874527 14305030 14898420 17166036 21457545 25749054 28610060 42915090 51498108 52928611 64372635 85830180 105857222 128745270 158785833 211714444 257490540 264643055 317571666 476357499 529286110 635143332 793929165 952714998 1058572220 1587858330 1905429996 2381787495 3175716660 3200035211 4763574990 6400070422 9527149980 9600105633 12800140844 16000176055 19200211266 28800316899 32000352110 38400422532 48000528165 57600633798 64000704220 96001056330 115201267596 118401302807 144001584495 192002112660 236802605614 288003168990 355203908421 473605211228 576006337980 592006514035 710407816842 1065611725263 1184013028070 1420815633684 1776019542105 2131223450526 2368026056140 3552039084210 4262446901052 5328058626315 7104078168420 10656117252630 21312234505260