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132170056142103 = 32725141919948249
BaseRepresentation
bin11110000011010100111101…
…001111110000110100010111
3122022222100000110111020100100
4132003110331033300310113
5114310433233333021403
61145034030252145143
736560654126443350
oct3603247517606427
9568870013436310
10132170056142103
1139128008031611
12129a75384681b3
13589977659c5c5
14248d0c9d3ad27
1510430a6cb12a3
hex78353d3f0d17

132170056142103 has 48 divisors (see below), whose sum is σ = 219577569120000. Its totient is φ = 75045308976000.

The previous prime is 132170056142053. The next prime is 132170056142141. The reversal of 132170056142103 is 301241650071231.

132170056142103 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 70 + 0 + 561 + 4 + 21 + 0 + 3 = 666.

It is not a de Polignac number, because 132170056142103 - 212 = 132170056138007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132170056142503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3348478 + ... + 16599771.

It is an arithmetic number, because the mean of its divisors is an integer number (4574532690000).

Almost surely, 2132170056142103 is an apocalyptic number.

132170056142103 is a deficient number, since it is larger than the sum of its proper divisors (87407512977897).

132170056142103 is a wasteful number, since it uses less digits than its factorization.

132170056142103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19948932 (or 19948929 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 132170056142103 in words is "one hundred thirty-two trillion, one hundred seventy billion, fifty-six million, one hundred forty-two thousand, one hundred three".

Divisors: 1 3 7 9 21 63 251 419 753 1257 1757 2259 2933 3771 5271 8799 15813 26397 105169 315507 736183 946521 2208549 6625647 19948249 59844747 139637743 179534241 418913229 1256739687 5007010499 8358316331 15021031497 25074948993 35049073493 45063094491 58508214317 75224846979 105147220479 175524642951 315441661437 526573928853 2097937399081 6293812197243 14685561793567 18881436591729 44056685380701 132170056142103