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101134120234512 = 24376922811201171
BaseRepresentation
bin10110111111101100011111…
…010011111010111000010000
3111021002022211201121210120210
4112333230133103322320100
5101223440134240001022
6555032212355204120
730205461531111201
oct2677543723727020
9437068751553523
10101134120234512
112a251815347392
12b4145782a6640
134457ba2ab45a1
141ad8cbba155a8
15ba5ae596ea0c
hex5bfb1f4fae10

101134120234512 has 80 divisors (see below), whose sum is σ = 261717793641920. Its totient is φ = 33652747468800.

The previous prime is 101134120234501. The next prime is 101134120234519. The reversal of 101134120234512 is 215432021431101.

It is a super-2 number, since 2×1011341202345122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101134120234512.

It is not an unprimeable number, because it can be changed into a prime (101134120234519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83595687 + ... + 84796857.

It is an arithmetic number, because the mean of its divisors is an integer number (3271472420524).

Almost surely, 2101134120234512 is an apocalyptic number.

101134120234512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101134120234512 is an abundant number, since it is smaller than the sum of its proper divisors (160583673407408).

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

101134120234512 is a wasteful number, since it uses less digits than its factorization.

101134120234512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204232 (or 1204226 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 101134120234512 its reverse (215432021431101), we get a palindrome (316566141665613).

The spelling of 101134120234512 in words is "one hundred one trillion, one hundred thirty-four billion, one hundred twenty million, two hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 769 1538 2281 2307 3076 4562 4614 6152 6843 9124 9228 12304 13686 18248 18456 27372 36496 36912 54744 109488 1201171 1754089 2402342 3508178 3603513 4804684 5262267 7016356 7207026 9609368 10524534 14032712 14414052 19218736 21049068 28065424 28828104 42098136 57656208 84196272 923700499 1847400998 2739871051 2771101497 3694801996 5479742102 5542202994 7389603992 8219613153 10959484204 11084405988 14779207984 16439226306 21918968408 22168811976 32878452612 43837936816 44337623952 65756905224 131513810448 2106960838219 4213921676438 6320882514657 8427843352876 12641765029314 16855686705752 25283530058628 33711373411504 50567060117256 101134120234512