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102158247312 = 24321164493843
BaseRepresentation
bin101111100100100011…
…0110010010110010000
3100202200120202122222100
41133021012302112100
53133210002403222
6114533021440400
710244401526502
oct1371106622620
9322616678870
10102158247312
113a363738270
1217970710100
1398309b2864
144d3194dd72
1529cd95a4ac
hex17c91b2590

102158247312 has 60 divisors (see below), whose sum is σ = 311892229584. Its totient is φ = 30957044160.

The previous prime is 102158247287. The next prime is 102158247313. The reversal of 102158247312 is 213742851201.

102158247312 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 582 + 4 + 73 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102158247313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32245338 + ... + 32248505.

Almost surely, 2102158247312 is an apocalyptic number.

102158247312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102158247312 is an abundant number, since it is smaller than the sum of its proper divisors (209733982272).

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

102158247312 is a wasteful number, since it uses less digits than its factorization.

102158247312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64493868 (or 64493859 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 102158247312 in words is "one hundred two billion, one hundred fifty-eight million, two hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 64493843 128987686 193481529 257975372 386963058 515950744 580444587 709432273 773926116 1031901488 1160889174 1418864546 1547852232 2128296819 2321778348 2837729092 3095704464 4256593638 4643556696 5675458184 6384890457 8513187276 9287113392 11350916368 12769780914 17026374552 25539561828 34052749104 51079123656 102158247312