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21001211112112 = 24711171002731623
BaseRepresentation
bin1001100011001101110011…
…01110100110101010110000
32202100200210111210210121221
410301212321232212222300
510223040440021041422
6112355453450554424
74265200406040010
oct461467156465260
982320714723557
1021001211112112
116767622199430
122432213138a14
13b9453746485a
1452866d487c40
15266452ad03c7
hex1319b9ba6ab0

21001211112112 has 80 divisors (see below), whose sum is σ = 53714327634432. Its totient is φ = 7700978856960.

The previous prime is 21001211112073. The next prime is 21001211112113. The reversal of 21001211112112 is 21121111210012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21001211112113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501344868 + ... + 501386755.

Almost surely, 221001211112112 is an apocalyptic number.

21001211112112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21001211112112 is an abundant number, since it is smaller than the sum of its proper divisors (32713116522320).

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

21001211112112 is a wasteful number, since it uses less digits than its factorization.

21001211112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002731666 (or 1002731660 counting only the distinct ones).

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

Adding to 21001211112112 its reverse (21121111210012), we get a palindrome (42122322322124).

The spelling of 21001211112112 in words is "twenty-one trillion, one billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 20944 1002731623 2005463246 4010926492 7019121361 8021852984 11030047853 14038242722 16043705968 17046437591 22060095706 28076485444 34092875182 44120191412 56152970888 68185750364 77210334971 88240382824 112305941776 119325063137 136371500728 154420669942 176480765648 187510813501 238650126274 272743001456 308841339884 375021627002 477300252548 617682679768 750043254004 954600505096 1235365359536 1312575694507 1500086508008 1909201010192 2625151389014 3000173016016 5250302778028 10500605556056 21001211112112