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102255411076 = 22741322512
BaseRepresentation
bin101111100111011100…
…1011011111110000100
3100202221100121002121021
41133032321123332010
53133404341123301
6114550412200524
710246661440000
oct1371671337604
9322840532537
10102255411076
113a4035718a5
1217999169144
139847b72400
144d40803700
1529d724e8a1
hex17cee5bf84

102255411076 has 135 divisors (see below), whose sum is σ = 226956887493. Its totient is φ = 40291524000.

The previous prime is 102255411073. The next prime is 102255411101. The reversal of 102255411076 is 670114552201.

The square root of 102255411076 is 319774.

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

102255411076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15126540100 + 87128870976 = 122990^2 + 295176^2 .

It is not an unprimeable number, because it can be changed into a prime (102255411073) 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 44 ways as a sum of consecutive naturals, for example, 407391951 + ... + 407392201.

Almost surely, 2102255411076 is an apocalyptic number.

102255411076 is the 319774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102255411076

102255411076 is an abundant number, since it is smaller than the sum of its proper divisors (124701476417).

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

102255411076 is an frugal number, since it uses more digits than its factorization.

102255411076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

Adding to 102255411076 its reverse (670114552201), we get a palindrome (772369963277).

The spelling of 102255411076 in words is "one hundred two billion, two hundred fifty-five million, four hundred eleven thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 251 338 343 364 502 637 676 686 1004 1183 1274 1372 1757 2366 2401 2548 3263 3514 4459 4732 4802 6526 7028 8281 8918 9604 12299 13052 16562 17836 22841 24598 31213 33124 42419 45682 49196 57967 62426 63001 84838 86093 91364 115934 124852 126002 159887 169676 172186 231868 252004 296933 319774 344372 405769 441007 593866 602651 639548 811538 819013 882014 1119209 1187732 1205302 1623076 1638026 1764028 2078531 2238418 2410604 3087049 3276052 4157062 4476836 5733091 6174098 7834463 8314124 10647169 11466182 12348196 14549717 15668926 21294338 21609343 22932364 29099434 31337852 40131637 42588676 43218686 58198868 74530183 80263274 86437372 101848019 149060366 151265401 160526548 203696038 280921459 298120732 302530802 407392076 521711281 561842918 605061604 1043422562 1123685836 1966450213 2086845124 3651978967 3932900426 7303957934 7865800852 14607915868 25563852769 51127705538 102255411076