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102346121757227 = 23719713116330259
BaseRepresentation
bin10111010001010101010000…
…001110110100001000101011
3111102101012020012022102200112
4113101111100032310020223
5101403314324132212402
61001401054222124535
730362156210062325
oct2721252016641053
9442335205272615
10102346121757227
112a679823635097
12b58b44512074b
134515275947c0a
141b3b816036615
15bc73ce0cbe52
hex5d15503b422b

102346121757227 has 64 divisors (see below), whose sum is σ = 110931916677120. Its totient is φ = 94208597683200.

The previous prime is 102346121757223. The next prime is 102346121757233. The reversal of 102346121757227 is 722757121643201.

It is a cyclic number.

It is not a de Polignac number, because 102346121757227 - 22 = 102346121757223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102346121757223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3382321424 + ... + 3382351682.

It is an arithmetic number, because the mean of its divisors is an integer number (1733311198080).

Almost surely, 2102346121757227 is an apocalyptic number.

102346121757227 is a deficient number, since it is larger than the sum of its proper divisors (8585794919893).

102346121757227 is a wasteful number, since it uses less digits than its factorization.

102346121757227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30744.

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 102346121757227 in words is "one hundred two trillion, three hundred forty-six billion, one hundred twenty-one million, seven hundred fifty-seven thousand, two hundred twenty-seven".

Divisors: 1 23 71 97 131 163 1633 2231 3013 3749 6887 9301 11573 12707 15811 21353 30259 158401 213923 266179 292261 363653 491119 695957 902197 1122581 1516063 2071241 2148389 2935123 3963929 4932217 20750531 25819363 34869449 47638543 49412947 67507829 91170367 113440991 147058111 208393733 281438959 350187407 384501113 478425049 646120427 3382336553 4793055859 6473096057 8054310361 8843525599 11003776127 14860769821 27299579023 33968178479 45874550317 62673681419 627890317529 781268105017 1055114657291 1441494672637 4449831380749 102346121757227