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102399999156 = 223271331257631
BaseRepresentation
bin101111101011110000…
…0111111110010110100
3100210022102122221011100
41133113200333302310
53134203344433111
6115013015210100
710253365426410
oct1372740776264
9323272587140
10102399999156
113a478147a84
1217a19676930
13986bac7ba0
144d55abdd40
1529e4cb0756
hex17d783fcb4

102399999156 has 72 divisors (see below), whose sum is σ = 318577785344. Its totient is φ = 27006592320.

The previous prime is 102399999151. The next prime is 102399999157. The reversal of 102399999156 is 651999993201.

102399999156 is a `hidden beast` number, since 1 + 0 + 2 + 399 + 9 + 99 + 156 = 666.

102399999156 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 102399999093 and 102399999102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102399999151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15625540 + ... + 15632091.

Almost surely, 2102399999156 is an apocalyptic number.

It is an amenable number.

102399999156 is an abundant number, since it is smaller than the sum of its proper divisors (216177786188).

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

102399999156 is a wasteful number, since it uses less digits than its factorization.

102399999156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31257661 (or 31257656 counting only the distinct ones).

The product of its (nonzero) digits is 10628820, while the sum is 63.

The spelling of 102399999156 in words is "one hundred two billion, three hundred ninety-nine million, nine hundred ninety-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 31257631 62515262 93772893 125030524 187545786 218803417 281318679 375091572 406349203 437606834 562637358 656410251 812698406 875213668 1125274716 1219047609 1312820502 1625396812 1969230753 2438095218 2625641004 2844444421 3657142827 3938461506 4876190436 5688888842 7314285654 7876923012 8533333263 11377777684 14628571308 17066666526 25599999789 34133333052 51199999578 102399999156