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20101122001012 = 22131759983392069
BaseRepresentation
bin1001001001000001010000…
…01111001000100001110100
32122011122111202100101221111
410210200220033020201310
510113314044213013022
6110430154501324404
74143154353605233
oct444405017104164
978148452311844
1020101122001012
11644a9243750a8
122307895106704
13b2a6b23a82b0
144d6c84306b1a
1524cd22850477
hex1248283c8874

20101122001012 has 96 divisors (see below), whose sum is σ = 40832741779200. Its totient is φ = 8574960003072.

The previous prime is 20101122001001. The next prime is 20101122001019. The reversal of 20101122001012 is 21010022110102.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 20101122000983 and 20101122001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101122001019) 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, 51073314 + ... + 51465382.

It is an arithmetic number, because the mean of its divisors is an integer number (425341060200).

Almost surely, 220101122001012 is an apocalyptic number.

It is an amenable number.

20101122001012 is an abundant number, since it is smaller than the sum of its proper divisors (20731619778188).

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

20101122001012 is a wasteful number, since it uses less digits than its factorization.

20101122001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393145 (or 393143 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20101122001012 its reverse (21010022110102), we get a palindrome (41111144111114).

The spelling of 20101122001012 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, one thousand, twelve".

Divisors: 1 2 4 13 17 26 34 52 59 68 118 221 236 442 767 884 983 1003 1534 1966 2006 3068 3932 4012 12779 13039 16711 25558 26078 33422 51116 52156 57997 66844 115994 217243 231988 392069 434486 753961 784138 868972 985949 1507922 1568276 1971898 3015844 3943796 5096897 6665173 10193794 12817337 13330346 20387588 23132071 25634674 26660692 46264142 51269348 86647249 92528284 173294498 300716923 346588996 385403827 393245207 601433846 770807654 786490414 1202867692 1541615308 1572980828 5010249751 5112187691 6551865059 10020499502 10224375382 13103730118 20040999004 20448750764 22738825793 26207460236 45477651586 85174245767 90955303172 170348491534 295604735309 340696983068 386560038481 591209470618 773120076962 1182418941236 1546240153924 5025280500253 10050561000506 20101122001012