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21312100023120 = 2432531954843191
BaseRepresentation
bin1001101100010000111000…
…01001101011101101010000
32210110102020220010211011100
410312020130021223231100
510243134140101214440
6113154351003144400
74326514464136524
oct466103411535520
983412226124140
1021312100023120
116877457948735
122482517215100
13bb7951193b6a
1453972281dd84
1526e59b1d8230
hex13621c26bb50

21312100023120 has 120 divisors (see below), whose sum is σ = 73881946824192. Its totient is φ = 5499896774400.

The previous prime is 21312100023091. The next prime is 21312100023127. The reversal of 21312100023120 is 2132000121312.

21312100023120 is a `hidden beast` number, since 2 + 1 + 312 + 100 + 0 + 231 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21312100023093 and 21312100023102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312100023127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477399276 + ... + 477443915.

Almost surely, 221312100023120 is an apocalyptic number.

21312100023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312100023120 is an abundant number, since it is smaller than the sum of its proper divisors (52569846801072).

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

21312100023120 is a wasteful number, since it uses less digits than its factorization.

21312100023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954843241 (or 954843232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21312100023120 its reverse (2132000121312), we get a palindrome (23444100144432).

The spelling of 21312100023120 in words is "twenty-one trillion, three hundred twelve billion, one hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 954843191 1909686382 2864529573 3819372764 4774215955 5729059146 7638745528 8593588719 9548431910 11458118292 14322647865 15277491056 17187177438 19096863820 22916236584 28645295730 29600138921 34374354876 38193727640 42967943595 45832473168 57290591460 59200277842 68748709752 76387455280 85935887190 88800416763 114581182920 118400555684 137497419504 148000694605 171871774380 177600833526 229162365840 236801111368 266401250289 296001389210 343743548760 355201667052 444002083815 473602222736 532802500578 592002778420 687487097520 710403334104 888004167630 1065605001156 1184005556840 1332006251445 1420806668208 1776008335260 2131210002312 2368011113680 2664012502890 3552016670520 4262420004624 5328025005780 7104033341040 10656050011560 21312100023120