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102214302204 = 223717193767297
BaseRepresentation
bin101111100110001110…
…0100111100111111100
3100202211111020112211110
41133030130213213330
53133313330132304
6114542343122020
710245652143030
oct1371434474774
9322744215743
10102214302204
113a392344123
1217987443310
13983c4aac31
144d391821c0
1529d382e289
hex17cc7279fc

102214302204 has 96 divisors (see below), whose sum is σ = 303794910720. Its totient is φ = 26039549952.

The previous prime is 102214302101. The next prime is 102214302209. The reversal of 102214302204 is 402203412201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214302209) 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 31 ways as a sum of consecutive naturals, for example, 1856517 + ... + 1910780.

It is an arithmetic number, because the mean of its divisors is an integer number (3164530320).

Almost surely, 2102214302204 is an apocalyptic number.

102214302204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102214302204 is an abundant number, since it is smaller than the sum of its proper divisors (201580608516).

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

102214302204 is a wasteful number, since it uses less digits than its factorization.

102214302204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767347 (or 3767345 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 102214302204 its reverse (402203412201), we get a palindrome (504417714405).

It can be divided in two parts, 1022 and 14302204, that added together give a triangular number (14303226 = T5348).

The spelling of 102214302204 in words is "one hundred two billion, two hundred fourteen million, three hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1292 1428 1596 1938 2261 3876 4522 6783 9044 13566 27132 3767297 7534594 11301891 15069188 22603782 26371079 45207564 52742158 64044049 71578643 79113237 105484316 128088098 143157286 158226474 192132147 214735929 256176196 286314572 316452948 384264294 429471858 448308343 501050501 768528588 858943716 896616686 1002101002 1216836931 1344925029 1503151503 1793233372 2004202004 2433673862 2689850058 3006303006 3650510793 4867347724 5379700116 6012606012 7301021586 8517858517 14602043172 17035717034 25553575551 34071434068 51107151102 102214302204