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21012212102220 = 22335311255209803
BaseRepresentation
bin1001100011100010010010…
…11100000011010001001100
32202101202012012010000001000
410301301021130003101030
510223231002244232340
6112404513232220300
74266040126645323
oct461611134032114
982352165100030
1021012212102220
116771257a43099
12243438339a690
13b9559b647a61
14528dd45350ba
152668987b7d30
hex131c4970344c

21012212102220 has 96 divisors (see below), whose sum is σ = 67480079063040. Its totient is φ = 5422506344640.

The previous prime is 21012212102213. The next prime is 21012212102239. The reversal of 21012212102220 is 2220121221012.

It is a happy number.

21012212102220 is a `hidden beast` number, since 2 + 10 + 1 + 221 + 210 + 2 + 220 = 666.

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 = 21012212102193 and 21012212102202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627588162 + ... + 627621641.

It is an arithmetic number, because the mean of its divisors is an integer number (702917490240).

Almost surely, 221012212102220 is an apocalyptic number.

21012212102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012212102220 is an abundant number, since it is smaller than the sum of its proper divisors (46467866960820).

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

21012212102220 is a wasteful number, since it uses less digits than its factorization.

21012212102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255209852 (or 1255209844 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21012212102220 its reverse (2220121221012), we get a palindrome (23232333323232).

The spelling of 21012212102220 in words is "twenty-one trillion, twelve billion, two hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 1255209803 2510419606 3765629409 5020839212 6276049015 7531258818 11296888227 12552098030 15062517636 18828147045 22593776454 25104196060 33890664681 37656294090 38911503893 45187552908 56484441135 67781329362 75312588180 77823007786 112968882270 116734511679 135562658724 155646015572 169453323405 194557519465 225937764540 233469023358 338906646810 350203535037 389115038930 466938046716 583672558395 677813293620 700407070074 778230077860 1050610605111 1167345116790 1400814140148 1751017675185 2101221210222 2334690233580 3502035350370 4202442420444 5253053025555 7004070700740 10506106051110 21012212102220