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102201010983 = 3319463194483
BaseRepresentation
bin101111100101110100…
…1111010101100100111
3100202210120020021201000
41133023221322230213
53133301424322413
6114541150204343
710245431155101
oct1371351725447
9322716207630
10102201010983
113a385896245
1217982ab36b3
1398398062c6
144d374c2571
1529d25a6073
hex17cba7ab27

102201010983 has 16 divisors (see below), whose sum is σ = 151417463040. Its totient is φ = 68130156312.

The previous prime is 102201010979. The next prime is 102201011041. The reversal of 102201010983 is 389010102201.

It is not a de Polignac number, because 102201010983 - 22 = 102201010979 is a prime.

It is a super-3 number, since 3×1022010109833 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201010913) 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 15 ways as a sum of consecutive naturals, for example, 428260 + ... + 622742.

It is an arithmetic number, because the mean of its divisors is an integer number (9463591440).

Almost surely, 2102201010983 is an apocalyptic number.

102201010983 is a deficient number, since it is larger than the sum of its proper divisors (49216452057).

102201010983 is a wasteful number, since it uses less digits than its factorization.

102201010983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213955 (or 213949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 102201010983 in words is "one hundred two billion, two hundred one million, ten thousand, nine hundred eighty-three".

Divisors: 1 3 9 27 19463 58389 175167 194483 525501 583449 1750347 5251041 3785222629 11355667887 34067003661 102201010983