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102011999967 = 3513119716267
BaseRepresentation
bin101111100000001100…
…0111001011011011111
3100202022101120112100000
41133000120321123133
53132410032444332
6114510315105343
710240644456423
oct1370030713337
9322271515300
10102011999967
113a299129499
121792b742253
1398095c8a77
144d1a360b83
1529c0bbcb7c
hex17c06396df

102011999967 has 48 divisors (see below), whose sum is σ = 154765683072. Its totient is φ = 67142144160.

The previous prime is 102011999963. The next prime is 102011999993. The reversal of 102011999967 is 769999110201.

It is not a de Polignac number, because 102011999967 - 22 = 102011999963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011999963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6262968 + ... + 6279234.

It is an arithmetic number, because the mean of its divisors is an integer number (3224285064).

Almost surely, 2102011999967 is an apocalyptic number.

102011999967 is a deficient number, since it is larger than the sum of its proper divisors (52753683105).

102011999967 is a wasteful number, since it uses less digits than its factorization.

102011999967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16610 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 54.

The spelling of 102011999967 in words is "one hundred two billion, eleven million, nine hundred ninety-nine thousand, nine hundred sixty-seven".

Divisors: 1 3 9 27 81 131 197 243 393 591 1179 1773 3537 5319 10611 15957 16267 25807 31833 47871 48801 77421 146403 232263 439209 696789 1317627 2090367 2130977 3204599 3952881 6271101 6392931 9613797 19178793 28841391 57536379 86524173 172609137 259572519 419802469 517827411 778717557 1259407407 3778222221 11334666663 34003999989 102011999967