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102064444321 = 7191249614413
BaseRepresentation
bin101111100001110000…
…0111101001110100001
3100202110001020222110111
41133003200331032201
53133011444204241
6114515431131321
710242152314420
oct1370340751641
9322401228414
10102064444321
113a315799734
1217945213b41
13981742b928
144d232d32b7
1529c55cbc81
hex17c383d3a1

102064444321 has 16 divisors (see below), whose sum is σ = 122882800000. Its totient is φ = 82812907008.

The previous prime is 102064444319. The next prime is 102064444327. The reversal of 102064444321 is 123444460201.

It is a cyclic number.

It is not a de Polignac number, because 102064444321 - 21 = 102064444319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102064444327) 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 15 ways as a sum of consecutive naturals, for example, 141090 + ... + 473323.

It is an arithmetic number, because the mean of its divisors is an integer number (7680175000).

Almost surely, 2102064444321 is an apocalyptic number.

It is an amenable number.

102064444321 is a deficient number, since it is larger than the sum of its proper divisors (20818355679).

102064444321 is a wasteful number, since it uses less digits than its factorization.

102064444321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615688.

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 102064444321 in words is "one hundred two billion, sixty-four million, four hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 7 19 133 1249 8743 23731 166117 614413 4300891 11673847 81716929 767401837 5371812859 14580634903 102064444321