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102248066007 = 32487151115439
BaseRepresentation
bin101111100111001110…
…1011010101111010111
3100202220211202221001200
41133032131122233113
53133401001103012
6114545550523543
710246542135543
oct1371635325727
9322824687050
10102248066007
113a3aa40539a
12179968065b3
1398464a0109
144d3d850a23
1529d679d3dc
hex17ce75abd7

102248066007 has 24 divisors (see below), whose sum is σ = 148102456320. Its totient is φ = 67975984080.

The previous prime is 102248065999. The next prime is 102248066017. The reversal of 102248066007 is 700660842201.

102248066007 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 48 + 0 + 6 + 600 + 7 = 666.

It is not a de Polignac number, because 102248066007 - 23 = 102248065999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102248066017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6614994 + ... + 6630432.

It is an arithmetic number, because the mean of its divisors is an integer number (6170935680).

Almost surely, 2102248066007 is an apocalyptic number.

102248066007 is a deficient number, since it is larger than the sum of its proper divisors (45854390313).

102248066007 is a wasteful number, since it uses less digits than its factorization.

102248066007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17443 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 102248066007 in words is "one hundred two billion, two hundred forty-eight million, sixty-six thousand, seven".

Divisors: 1 3 9 487 1461 1511 4383 4533 13599 15439 46317 138951 735857 2207571 6622713 7518793 22556379 23328329 67669137 69984987 209954961 11360896223 34082688669 102248066007