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102214314200 = 23521801283771
BaseRepresentation
bin101111100110001110…
…0101010100011011000
3100202211111021011021202
41133030130222203120
53133313331023300
6114542343253332
710245652223015
oct1371434524330
9322744234252
10102214314200
113a392352139
121798744a248
13983c4b352b
144d3918670c
1529d3832ad5
hex17cc72a8d8

102214314200 has 48 divisors (see below), whose sum is σ = 237781071960. Its totient is φ = 40862880000.

The previous prime is 102214314199. The next prime is 102214314203. The reversal of 102214314200 is 2413412201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214314203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218315 + ... + 502085.

Almost surely, 2102214314200 is an apocalyptic number.

102214314200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102214314200 is an abundant number, since it is smaller than the sum of its proper divisors (135566757760).

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

102214314200 is a wasteful number, since it uses less digits than its factorization.

102214314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285588 (or 285579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102214314200 its reverse (2413412201), we get a palindrome (104627726401).

The spelling of 102214314200 in words is "one hundred two billion, two hundred fourteen million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1801 3602 7204 9005 14408 18010 36020 45025 72040 90050 180100 283771 360200 567542 1135084 1418855 2270168 2837710 5675420 7094275 11350840 14188550 28377100 56754200 511071571 1022143142 2044286284 2555357855 4088572568 5110715710 10221431420 12776789275 20442862840 25553578550 51107157100 102214314200