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21112100121012 = 22347233308952009
BaseRepresentation
bin1001100110011100010110…
…01110100110100110110100
32202202022000120001002221120
410303032023032212212310
510231400040112333022
6112522433115143540
74306204344051105
oct463161316464664
982668016032846
1021112100121012
1167aa65614403a
12244b7bb744bb0
13ba1b29baa414
1452db8c7663ac
15269292c82d5c
hex13338b3a69b4

21112100121012 has 96 divisors (see below), whose sum is σ = 50542935206400. Its totient is φ = 6855722852352.

The previous prime is 21112100120981. The next prime is 21112100121017. The reversal of 21112100121012 is 21012100121112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21112100120982 and 21112100121000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112100121017) 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 31 ways as a sum of consecutive naturals, for example, 405905664 + ... + 405957672.

It is an arithmetic number, because the mean of its divisors is an integer number (526488908400).

Almost surely, 221112100121012 is an apocalyptic number.

It is an amenable number.

21112100121012 is an abundant number, since it is smaller than the sum of its proper divisors (29430835085388).

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

21112100121012 is a wasteful number, since it uses less digits than its factorization.

21112100121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55385 (or 55383 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21112100121012 its reverse (21012100121112), we get a palindrome (42124200242124).

The spelling of 21112100121012 in words is "twenty-one trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 233 282 466 564 699 932 1398 2796 3089 6178 9267 10951 12356 18534 21902 32853 37068 43804 52009 65706 104018 131412 145183 156027 208036 290366 312054 435549 580732 624108 719737 871098 1439474 1742196 2159211 2444423 2878948 4318422 4888846 7333269 8636844 9777692 12118097 14666538 24236194 29333076 33827639 36354291 48472388 67655278 72708582 101482917 135310556 145417164 160655801 202965834 321311602 405931668 481967403 569550559 642623204 963934806 1139101118 1708651677 1927869612 2278202236 3417303354 6834606708 7550822647 15101645294 22652467941 30203290588 37432801633 45304935882 74865603266 90609871764 112298404899 149731206532 224596809798 449193619596 1759341676751 3518683353502 5278025030253 7037366707004 10556050060506 21112100121012