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102164004024 = 23319312204471
BaseRepresentation
bin101111100100101110…
…0101111110010111000
3100202200222121010200220
41133021130233302320
53133212441112044
6114533345100040
710244501464065
oct1371134576270
9322628533626
10102164004024
113a366a0a385
1217972627620
139831c49bb4
144d3260bc6c
1529ce1e6019
hex17c972fcb8

102164004024 has 32 divisors (see below), whose sum is σ = 255542394240. Its totient is φ = 34037016800.

The previous prime is 102164004013. The next prime is 102164004043. The reversal of 102164004024 is 420400461201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102164003985 and 102164004003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055892 + ... + 1148579.

It is an arithmetic number, because the mean of its divisors is an integer number (7985699820).

Almost surely, 2102164004024 is an apocalyptic number.

It is an amenable number.

102164004024 is an abundant number, since it is smaller than the sum of its proper divisors (153378390216).

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

102164004024 is a wasteful number, since it uses less digits than its factorization.

102164004024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206411 (or 2206407 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102164004024 its reverse (420400461201), we get a palindrome (522564465225).

The spelling of 102164004024 in words is "one hundred two billion, one hundred sixty-four million, four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 1931 3862 5793 7724 11586 15448 23172 46344 2204471 4408942 6613413 8817884 13226826 17635768 26453652 52907304 4256833501 8513667002 12770500503 17027334004 25541001006 34054668008 51082002012 102164004024