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102233014308 = 223217167047409
BaseRepresentation
bin101111100110110010…
…0000000000000100100
3100202212210110020000100
41133031210000000210
53133333122424213
6114544252144100
710246300166205
oct1371544000044
9322783406010
10102233014308
113a3a1964877
1217991768030
139843330099
144d3b8535ac
1529d52c8773
hex17cd900024

102233014308 has 36 divisors (see below), whose sum is σ = 273623657580. Its totient is φ = 32073102336.

The previous prime is 102233014283. The next prime is 102233014309. The reversal of 102233014308 is 803410332201.

102233014308 is a `hidden beast` number, since 1 + 0 + 22 + 330 + 1 + 4 + 308 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83695647204 + 18537367104 = 289302^2 + 136152^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (102233014309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83523093 + ... + 83524316.

It is an arithmetic number, because the mean of its divisors is an integer number (7600657155).

Almost surely, 2102233014308 is an apocalyptic number.

102233014308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102233014308 is an abundant number, since it is smaller than the sum of its proper divisors (171390643272).

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

102233014308 is a wasteful number, since it uses less digits than its factorization.

102233014308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167047436 (or 167047431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102233014308 its reverse (803410332201), we get a palindrome (905643346509).

The spelling of 102233014308 in words is "one hundred two billion, two hundred thirty-three million, fourteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 167047409 334094818 501142227 668189636 1002284454 1503426681 2004568908 2839805953 3006853362 5679611906 6013706724 8519417859 11359223812 17038835718 25558253577 34077671436 51116507154 102233014308