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113431001535 = 3551722111531
BaseRepresentation
bin110100110100100000…
…0111011100110111111
3101211210012102220200000
41221221000323212333
53324301314022120
6124035352005343
711123632414245
oct1515100734677
9354705386600
10113431001535
1144118930375
1219b97990853
13a909288827
1456c0b40795
152e3d425990
hex1a6903b9bf

113431001535 has 144 divisors (see below), whose sum is σ = 217763774592. Its totient is φ = 56631052800.

The previous prime is 113431001527. The next prime is 113431001543. The reversal of 113431001535 is 535100134311.

It is a happy number.

113431001535 is a `hidden beast` number, since 113 + 4 + 3 + 10 + 0 + 1 + 535 = 666.

It is an interprime number because it is at equal distance from previous prime (113431001527) and next prime (113431001543).

It is not a de Polignac number, because 113431001535 - 23 = 113431001527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113431001499 and 113431001508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74088720 + ... + 74090250.

Almost surely, 2113431001535 is an apocalyptic number.

113431001535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113431001535 is a deficient number, since it is larger than the sum of its proper divisors (104332773057).

113431001535 is a wasteful number, since it uses less digits than its factorization.

113431001535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 113431001535 its reverse (535100134311), we get a palindrome (648531135846).

The spelling of 113431001535 in words is "one hundred thirteen billion, four hundred thirty-one million, one thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 211 243 255 289 405 459 633 765 867 1055 1215 1377 1445 1531 1899 2295 2601 3165 3587 4131 4335 4593 5697 6885 7655 7803 9495 10761 13005 13779 17091 17935 20655 22965 23409 26027 28485 32283 39015 41337 51273 53805 60979 68895 70227 78081 85455 96849 117045 124011 130135 161415 182937 206685 234243 256365 290547 304895 323041 351135 372033 390405 442459 484245 548811 620055 702729 871641 914685 969123 1171215 1327377 1452735 1615205 1646433 1860165 2108187 2212295 2744055 2907369 3513645 3982131 4358205 4845615 4939299 5491697 6324561 6636885 8232165 8722107 10540935 11946393 14536845 14817897 16475091 19910655 24696495 26166321 27458485 31622805 35839179 43610535 49425273 59731965 74089485 78498963 82375455 93358849 107517537 130831605 148275819 179195895 247126365 280076547 392494815 444827457 466794245 537587685 741379095 840229641 1334482371 1400382735 2224137285 2520688923 4201148205 6672411855 7562066769 12603444615 22686200307 37810333845 113431001535