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100111011012 = 223229313093283
BaseRepresentation
bin101110100111100010…
…1001100110011000100
3100120101220112021201200
41131033011030303010
53120011404323022
6113553530222500
710142562360525
oct1351705146304
9316356467650
10100111011012
1139503068341
121749ab84a30
13959580a02c
144bb9aba84c
15290dd66bac
hex174f14ccc4

100111011012 has 72 divisors (see below), whose sum is σ = 270229290240. Its totient is φ = 31180282560.

The previous prime is 100111010977. The next prime is 100111011031. The reversal of 100111011012 is 210110111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100111010985 and 100111011003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514278 + ... + 1579005.

Almost surely, 2100111011012 is an apocalyptic number.

100111011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111011012 is an abundant number, since it is smaller than the sum of its proper divisors (170118279228).

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

100111011012 is a wasteful number, since it uses less digits than its factorization.

100111011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093353 (or 3093348 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111011012 its reverse (210110111001), we get a palindrome (310221122013).

The spelling of 100111011012 in words is "one hundred billion, one hundred eleven million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 3093283 6186566 9279849 12373132 18559698 27839547 37119396 55679094 89705207 95891773 111358188 179410414 191783546 269115621 287675319 358820828 383567092 538231242 575350638 807346863 863025957 1076462484 1150701276 1614693726 1726051914 2780861417 3229387452 3452103828 5561722834 8342584251 11123445668 16685168502 25027752753 33370337004 50055505506 100111011012