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132145102330311 = 37110928192012821
BaseRepresentation
bin11110000010111101101101…
…111000100001100111000111
3122022212221121101111020211210
4132002331231320201213013
5114310031132144032221
61145014342201302503
736556111552522440
oct3602755570414707
9568787541436753
10132145102330311
1139118472282464
12129a2733494a33
1358972ca7b84b5
14248bbddb782c7
1510425e61b4276
hex782f6de219c7

132145102330311 has 32 divisors (see below), whose sum is σ = 201617133580800. Its totient is φ = 75416597400960.

The previous prime is 132145102330303. The next prime is 132145102330343. The reversal of 132145102330311 is 113033201541231.

It is not a de Polignac number, because 132145102330311 - 23 = 132145102330303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132145102330361) 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, 64645281 + ... + 66658101.

It is an arithmetic number, because the mean of its divisors is an integer number (6300535424400).

Almost surely, 2132145102330311 is an apocalyptic number.

132145102330311 is a deficient number, since it is larger than the sum of its proper divisors (69472031250489).

132145102330311 is a wasteful number, since it uses less digits than its factorization.

132145102330311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016759.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 132145102330311 its reverse (113033201541231), we get a palindrome (245178303871542).

The spelling of 132145102330311 in words is "one hundred thirty-two trillion, one hundred forty-five billion, one hundred two million, three hundred thirty thousand, three hundred eleven".

Divisors: 1 3 7 21 1109 2819 3327 7763 8457 19733 23289 59199 2012821 3126271 6038463 9378813 14089747 21883897 42269241 65651691 2232218489 5674142399 6696655467 15625529423 17022427197 39718996793 46876588269 119156990379 6292623920491 18877871761473 44048367443437 132145102330311