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102020099967 = 3417318123291
BaseRepresentation
bin101111100000011011…
…1110010111101111111
3100202022221211001110000
41133000313302331333
53132414121144332
6114511204445343
710241103353532
oct1370067627577
9322287731400
10102020099967
113a2a2761105
12179323a9853
13980b1a3876
144d1b46ca19
1529c176cb7c
hex17c0df2f7f

102020099967 has 40 divisors (see below), whose sum is σ = 161422783632. Its totient is φ = 63989740800.

The previous prime is 102020099947. The next prime is 102020099989. The reversal of 102020099967 is 769990020201.

It is not a de Polignac number, because 102020099967 - 212 = 102020095871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020099927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4368592 + ... + 4391882.

Almost surely, 2102020099967 is an apocalyptic number.

102020099967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102020099967 is a deficient number, since it is larger than the sum of its proper divisors (59402683665).

102020099967 is a wasteful number, since it uses less digits than its factorization.

102020099967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26501 (or 26492 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 102020099967 in words is "one hundred two billion, twenty million, ninety-nine thousand, nine hundred sixty-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 3181 9543 23291 28629 54077 69873 85887 162231 209619 257661 395947 486693 628857 1187841 1460079 1886571 3563523 4380237 10690569 32071707 74088671 222266013 666798039 1259507407 2000394117 3778522221 6001182351 11335566663 34006699989 102020099967