Search a number
-
+
212110202100 = 2235223291060021
BaseRepresentation
bin1100010110001011000…
…0001101010011110100
3202021111022202200201010
43011202300031103310
511433400202431400
6241235253432220
721216200653446
oct3054260152364
9667438680633
10212110202100
1181a56752295
123513733b670
131700425a034
14a3a25c8496
1557b6712450
hex3162c0d4f4

212110202100 has 144 divisors (see below), whose sum is σ = 662471349120. Its totient is φ = 52237785600.

The previous prime is 212110202041. The next prime is 212110202141. The reversal of 212110202100 is 1202011212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 329911 + ... + 730110.

It is an arithmetic number, because the mean of its divisors is an integer number (4600495480).

Almost surely, 2212110202100 is an apocalyptic number.

212110202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110202100 is an abundant number, since it is smaller than the sum of its proper divisors (450361147020).

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

212110202100 is a wasteful number, since it uses less digits than its factorization.

212110202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060090 (or 1060083 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212110202100 its reverse (1202011212), we get a palindrome (213312213312).

The spelling of 212110202100 in words is "two hundred twelve billion, one hundred ten million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 29 30 46 50 58 60 69 75 87 92 100 115 116 138 145 150 174 230 276 290 300 345 348 435 460 575 580 667 690 725 870 1150 1334 1380 1450 1725 1740 2001 2175 2300 2668 2900 3335 3450 4002 4350 6670 6900 8004 8700 10005 13340 16675 20010 33350 40020 50025 66700 100050 200100 1060021 2120042 3180063 4240084 5300105 6360126 10600210 12720252 15900315 21200420 24380483 26500525 30740609 31800630 48760966 53001050 61481218 63601260 73141449 79501575 92221827 97521932 106002100 121902415 122962436 146282898 153703045 159003150 184443654 243804830 292565796 307406090 318006300 365707245 368887308 461109135 487609660 609512075 614812180 707034007 731414490 768515225 922218270 1219024150 1414068014 1462828980 1537030450 1828536225 1844436540 2121102021 2305545675 2438048300 2828136028 3074060900 3535170035 3657072450 4242204042 4611091350 7070340070 7314144900 8484408084 9222182700 10605510105 14140680140 17675850175 21211020210 35351700350 42422040420 53027550525 70703400700 106055101050 212110202100