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102402024012 = 22332357402277
BaseRepresentation
bin101111101011110100…
…0101110001001001100
3100210022120110210202000
41133113220232021030
53134204404232022
6115013130432300
710253421561651
oct1372750561114
9323276423660
10102402024012
113a479300312
1217a1a292690
13986c356722
144d56089c28
1529e50606ac
hex17d7a2e24c

102402024012 has 48 divisors (see below), whose sum is σ = 265600026720. Its totient is φ = 34119441216.

The previous prime is 102402023959. The next prime is 102402024019. The reversal of 102402024012 is 210420204201.

102402024012 is a `hidden beast` number, since 1 + 0 + 240 + 20 + 2 + 401 + 2 = 666.

It is a super-2 number, since 2×1024020240122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102402024019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53418 + ... + 455694.

It is an arithmetic number, because the mean of its divisors is an integer number (5533333890).

Almost surely, 2102402024012 is an apocalyptic number.

102402024012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102402024012 is an abundant number, since it is smaller than the sum of its proper divisors (163198002708).

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

102402024012 is a wasteful number, since it uses less digits than its factorization.

102402024012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404647 (or 404639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102402024012 its reverse (210420204201), we get a palindrome (312822228213).

The spelling of 102402024012 in words is "one hundred two billion, four hundred two million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2357 4714 7071 9428 14142 21213 28284 42426 63639 84852 127278 254556 402277 804554 1206831 1609108 2413662 3620493 4827324 7240986 10861479 14481972 21722958 43445916 948166889 1896333778 2844500667 3792667556 5689001334 8533502001 11378002668 17067004002 25600506003 34134008004 51201012006 102402024012