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102414131304 = 2338501501971
BaseRepresentation
bin101111101100001011…
…0111010000001101000
3100210100102020220211020
41133120112322001220
53134221004200204
6115014242132440
710253626516122
oct1373026720150
9323312226736
10102414131304
113a48511a741
1217a22351120
139871a054c4
144d5791c212
1529e6152bd9
hex17d85ba068

102414131304 has 32 divisors (see below), whose sum is σ = 256065956640. Its totient is φ = 34133960000.

The previous prime is 102414131279. The next prime is 102414131321. The reversal of 102414131304 is 403131414201.

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

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, 46962 + ... + 455009.

It is an arithmetic number, because the mean of its divisors is an integer number (8002061145).

Almost surely, 2102414131304 is an apocalyptic number.

It is an amenable number.

102414131304 is an abundant number, since it is smaller than the sum of its proper divisors (153651825336).

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

102414131304 is a wasteful number, since it uses less digits than its factorization.

102414131304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510481 (or 510477 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102414131304 its reverse (403131414201), we get a palindrome (505545545505).

The spelling of 102414131304 in words is "one hundred two billion, four hundred fourteen million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 8501 17002 25503 34004 51006 68008 102012 204024 501971 1003942 1505913 2007884 3011826 4015768 6023652 12047304 4267255471 8534510942 12801766413 17069021884 25603532826 34138043768 51207065652 102414131304