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102342471129576 = 233856311932903
BaseRepresentation
bin10111010001010001110110…
…101000110001100111101000
3111102100211210210000100000000
4113101101312220301213220
5101403234340102121301
61001355252052343000
730361666561210116
oct2721216650614750
9442324723010000
10102342471129576
112a67821a987547
12b58a7a6614a60
134514b1351cb02
141b3b58b268ab6
15bc7268869786
hex5d1476a319e8

102342471129576 has 288 divisors, whose sum is σ = 288675903447360. Its totient is φ = 34013298394368.

The previous prime is 102342471129541. The next prime is 102342471129611. The reversal of 102342471129576 is 675921174243201.

102342471129576 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 2 + 47 + 1 + 1 + 29 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (102342471129541) and next prime (102342471129611).

It is a super-2 number, since 2×1023424711295762 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 35254036141 + ... + 35254039043.

It is an arithmetic number, because the mean of its divisors is an integer number (1002346886970).

Almost surely, 2102342471129576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102342471129576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144337951723680).

102342471129576 is an abundant number, since it is smaller than the sum of its proper divisors (186333432317784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102342471129576 is an equidigital number, since it uses as much as digits as its factorization.

102342471129576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 102342471129576 in words is "one hundred two trillion, three hundred forty-two billion, four hundred seventy-one million, one hundred twenty-nine thousand, five hundred seventy-six".