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102342444243201 = 32371272419958011
BaseRepresentation
bin10111010001010001110101…
…000010001101100100000001
3111102100211201220102100211100
4113101101311002031210001
5101403234311211240301
61001355245252205013
730361666113530151
oct2721216502154401
9442324656370740
10102342444243201
112a6782067933a8
12b58a799609769
134514b0aa98106
141b3b58786a761
15bc7266308286
hex5d147508d901

102342444243201 has 24 divisors (see below), whose sum is σ = 153018785014784. Its totient is φ = 65861577200160.

The previous prime is 102342444243199. The next prime is 102342444243223.

102342444243201 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 2 + 4 + 442 + 4 + 3 + 201 = 666.

102342444243201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102342444243201 - 21 = 102342444243199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102342444243601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209936715 + ... + 1210021296.

Almost surely, 2102342444243201 is an apocalyptic number.

It is an amenable number.

102342444243201 is a deficient number, since it is larger than the sum of its proper divisors (50676340771583).

102342444243201 is a wasteful number, since it uses less digits than its factorization.

102342444243201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419958181 (or 2419958178 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 102342444243201 in words is "one hundred two trillion, three hundred forty-two billion, four hundred forty-four million, two hundred forty-three thousand, two hundred one".

Divisors: 1 3 9 37 111 127 333 381 1143 4699 14097 42291 2419958011 7259874033 21779622099 89538446407 268615339221 307334667397 805846017663 922004002191 2766012006573 11371382693689 34114148081067 102342444243201