Search a number
-
+
100111111011012 = 2231073111993125791
BaseRepresentation
bin10110110000110011101111…
…001101011011101011000100
3111010110112021110021201020210
4112300303233031123223010
5101110210023404323022
6552530224241155420
730041534441145663
oct2660635715335304
9433415243251223
10100111111011012
112999797a302302
12b28a25462bb70
1343b258b87a5ca
141aa159179cdda
15b891be1c5a0c
hex5b0cef35bac4

100111111011012 has 96 divisors (see below), whose sum is σ = 236654385537024. Its totient is φ = 32935404499200.

The previous prime is 100111111010987. The next prime is 100111111011013. The reversal of 100111111011012 is 210110111111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100111111011013) 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, 795789837 + ... + 795915627.

It is an arithmetic number, because the mean of its divisors is an integer number (2465149849344).

Almost surely, 2100111111011012 is an apocalyptic number.

100111111011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111111011012 is an abundant number, since it is smaller than the sum of its proper divisors (136543274526012).

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

100111111011012 is a wasteful number, since it uses less digits than its factorization.

100111111011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128209 (or 128207 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100111111011012 its reverse (210110111111001), we get a palindrome (310221222122013).

The spelling of 100111111011012 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 107 214 311 321 428 622 642 933 1244 1284 1866 1993 3732 3986 5979 7972 11958 23916 33277 66554 99831 125791 133108 199662 213251 251582 377373 399324 426502 503164 619823 639753 754746 853004 1239646 1279506 1509492 1859469 2479292 2559012 3718938 7437876 13459637 26919274 39121001 40378911 53838548 66321061 78242002 80757822 117363003 132642122 156484004 161515644 198963183 234726006 250701463 265284244 397926366 469452012 501402926 752104389 795852732 1002805852 1504208778 3008417556 4185947107 8371894214 12557841321 16743788428 25115682642 26825056541 50231365284 53650113082 77968154993 80475169623 107300226164 155936309986 160950339246 233904464979 311872619972 321900678492 467808929958 935617859916 8342592584251 16685185168502 25027777752753 33370370337004 50055555505506 100111111011012