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12160141335134 = 2133143595946797
BaseRepresentation
bin1011000011110100000011…
…1001111001101001011110
31121001111110011020211010222
42300331000321321221132
53043212432140211014
641510143010401342
72363353431626342
oct260750071715136
947044404224128
1012160141335134
1139690a5851161
121444872890252
136a2909013460
143007a81a3622
151614a6eca08e
hexb0f40e79a5e

12160141335134 has 64 divisors (see below), whose sum is σ = 21100190791680. Its totient is φ = 5215102220160.

The previous prime is 12160141335113. The next prime is 12160141335157. The reversal of 12160141335134 is 43153314106121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12160141335094 and 12160141335103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928577 + ... + 5018220.

It is an arithmetic number, because the mean of its divisors is an integer number (329690481120).

Almost surely, 212160141335134 is an apocalyptic number.

12160141335134 is a deficient number, since it is larger than the sum of its proper divisors (8940049456546).

12160141335134 is a wasteful number, since it uses less digits than its factorization.

12160141335134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946945.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12160141335134 in words is "twelve trillion, one hundred sixty billion, one hundred forty-one million, three hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 13 26 31 43 59 62 86 118 403 559 767 806 1118 1333 1534 1829 2537 2666 3658 5074 17329 23777 32981 34658 47554 65962 78647 157294 1022411 2044822 5946797 11893594 77308361 154616722 184350707 255712271 350861023 368701414 511424542 701722046 2396559191 3324259523 4561193299 4793118382 6648519046 7927080401 9122386598 10876691713 15087023989 15854160802 21753383426 30174047978 103052045213 141396992269 196131311857 206104090426 282793984538 392262623714 467697743659 935395487318 6080070667567 12160141335134