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20112330212112 = 24331433001104743
BaseRepresentation
bin1001001001010110001000…
…10011000100001100010000
32122012201102212120112010010
410210223010103010030100
510114010023013241422
6110435251004234520
74144032202044435
oct444530423041420
978181385515103
1020112330212112
116454656093a86
122309aa283ba40
13b2b77a4a3478
144d7628ad5b8c
1524d27b81bb0c
hex124ac44c4310

20112330212112 has 160 divisors (see below), whose sum is σ = 54898968272896. Its totient is φ = 6334796160000.

The previous prime is 20112330212089. The next prime is 20112330212113. The reversal of 20112330212112 is 21121203321102.

It is a super-2 number, since 2×201123302121122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20112330212113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191963613 + ... + 192068355.

Almost surely, 220112330212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112330212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449484136448).

20112330212112 is an abundant number, since it is smaller than the sum of its proper divisors (34786638060784).

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

20112330212112 is a wasteful number, since it uses less digits than its factorization.

20112330212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107829 (or 107823 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20112330212112 its reverse (21121203321102), we get a palindrome (41233533533214).

The spelling of 20112330212112 in words is "twenty trillion, one hundred twelve billion, three hundred thirty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 744 1032 1333 1488 2064 2666 3001 3999 5332 6002 7998 9003 10664 12004 15996 18006 21328 24008 31992 36012 48016 63984 72024 93031 104743 129043 144048 186062 209486 258086 279093 314229 372124 387129 418972 516172 558186 628458 744248 774258 837944 1032344 1116372 1256916 1488496 1548516 1675888 2064688 2232744 2513832 3097032 3247033 4000333 4465488 4503949 5027664 6194064 6494066 8000666 9007898 9741099 12000999 12988132 13511847 16001332 18015796 19482198 24001998 25976264 27023694 32002664 36031592 38964396 48003996 51952528 54047388 64005328 72063184 77928792 96007992 108094776 139622419 155857584 192015984 216189552 279244838 314333743 418867257 558489676 628667486 837734514 943001229 1116979352 1257334972 1675469028 1886002458 2233958704 2514669944 3350938056 3772004916 5029339888 6701876112 7544009832 9744346033 13516350949 15088019664 19488692066 27032701898 29233038099 38977384132 40549052847 54065403796 58466076198 77954768264 81098105694 108130807592 116932152396 155909536528 162196211388 216261615184 233864304792 324392422776 419006879419 467728609584 648784845552 838013758838 1257020638257 1676027517676 2514041276514 3352055035352 5028082553028 6704110070704 10056165106056 20112330212112