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101140323012 = 223220183139199
BaseRepresentation
bin101111000110001101…
…1101101101011000100
3100200001122100202100100
41132030123231223010
53124113410314022
6114244020044100
710210231363251
oct1361433555304
9320048322310
10101140323012
1139991091713
1217727833630
1396cab3aca1
144c76698428
15296e3d81ac
hex178c6edac4

101140323012 has 36 divisors (see below), whose sum is σ = 255674764800. Its totient is φ = 33711528432.

The previous prime is 101140322999. The next prime is 101140323083. The reversal of 101140323012 is 210323041101.

101140323012 is a `hidden beast` number, since 10 + 11 + 403 + 230 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656989 + ... + 796187.

It is an arithmetic number, because the mean of its divisors is an integer number (7102076800).

Almost surely, 2101140323012 is an apocalyptic number.

101140323012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101140323012 is an abundant number, since it is smaller than the sum of its proper divisors (154534441788).

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

101140323012 is a wasteful number, since it uses less digits than its factorization.

101140323012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159392 (or 159387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101140323012 its reverse (210323041101), we get a palindrome (311463364113).

The spelling of 101140323012 in words is "one hundred one billion, one hundred forty million, three hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 20183 40366 60549 80732 121098 139199 181647 242196 278398 363294 417597 556796 726588 835194 1252791 1670388 2505582 5011164 2809453417 5618906834 8428360251 11237813668 16856720502 25285080753 33713441004 50570161506 101140323012