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102388480324 = 221323123972
BaseRepresentation
bin101111101011011010…
…1000011100101000100
3100210021121222201021221
41133112311003211010
53134142422332244
6115011524250124
710253165502664
oct1372665034504
9323247881257
10102388480324
113a47169a789
1217a15840944
1398695c3c00
144d543621a4
1529e3c87784
hex17d6d43944

102388480324 has 81 divisors (see below), whose sum is σ = 200990118231. Its totient is φ = 45616633920.

The previous prime is 102388480309. The next prime is 102388480339. The reversal of 102388480324 is 423084883201.

The square root of 102388480324 is 319982.

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

It is an interprime number because it is at equal distance from previous prime (102388480309) and next prime (102388480339).

It can be written as a sum of positive squares in 4 ways, for example, as 4744729924 + 97643750400 = 68882^2 + 312480^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 257905294 + ... + 257905690.

Almost surely, 2102388480324 is an apocalyptic number.

102388480324 is the 319982-nd square number.

It is an amenable number.

102388480324 is a deficient number, since it is larger than the sum of its proper divisors (98601637907).

102388480324 is an equidigital number, since it uses as much as digits as its factorization.

102388480324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 102388480324 in words is "one hundred two billion, three hundred eighty-eight million, four hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 4 13 26 31 52 62 124 169 338 397 403 676 794 806 961 1588 1612 1922 3844 5161 5239 10322 10478 12307 12493 20644 20956 24614 24986 49228 49972 67093 134186 157609 159991 162409 268372 315218 319982 324818 381517 630436 639964 649636 763034 1526068 2048917 2079883 4097834 4159766 4885879 4959721 8195668 8319532 9771758 9919442 19543516 19838884 26635921 53271842 63516427 64476373 106543684 127032854 128952746 151462249 254065708 257905492 302924498 605848996 825713551 1651427102 1969009237 3302854204 3938018474 7876036948 25597120081 51194240162 102388480324