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102246921805284 = 22321181214272
BaseRepresentation
bin10111001111111000110111…
…011101000001110111100100
3111102000201011210002202001100
4113033320313131001313210
5101400203143440232114
61001243330515000100
730352045016310414
oct2717706735016744
9442021153082040
10102246921805284
112a640748872a33
12b57417b299030
134508ac6b071b9
141b36ac5354644
15bc4a25228909
hex5cfe37741de4

102246921805284 has 81 divisors (see below), whose sum is σ = 258857928406441. Its totient is φ = 34029584749920.

The previous prime is 102246921805271. The next prime is 102246921805313. The reversal of 102246921805284 is 482508129642201.

It is a happy number.

The square root of 102246921805284 is 10111722.

It is a perfect power (a square), and thus also a powerful number.

102246921805284 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 469 + 21 + 80 + 5 + 2 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93772535038884 + 8474386766400 = 9683622^2 + 2911080^2 .

It is a super-2 number, since 2×1022469218052842 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102246921805284.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71651661379 + ... + 71651662805.

Almost surely, 2102246921805284 is an apocalyptic number.

102246921805284 is the 10111722-nd square number.

It is an amenable number.

102246921805284 is an abundant number, since it is smaller than the sum of its proper divisors (156611006601157).

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

102246921805284 is an frugal number, since it uses more digits than its factorization.

102246921805284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 102246921805284 in words is "one hundred two trillion, two hundred forty-six billion, nine hundred twenty-one million, eight hundred five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1181 1427 2362 2854 3543 4281 4724 5708 7086 8562 10629 12843 14172 17124 21258 25686 42516 51372 1394761 1685287 2036329 2789522 3370574 4072658 4184283 5055861 5579044 6108987 6741148 8145316 8368566 10111722 12217974 12552849 15167583 16737132 18326961 20223444 24435948 25105698 30335166 36653922 50211396 60670332 73307844 1990323947 2404904549 3980647894 4809809098 5970971841 7214713647 7961295788 9619618196 11941943682 14429427294 17912915523 21644140941 23883887364 28858854588 35825831046 43288281882 71651662092 86576563764 2840192272369 5680384544738 8520576817107 11360769089476 17041153634214 25561730451321 34082307268428 51123460902642 102246921805284