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102424324104 = 233219911036481
BaseRepresentation
bin101111101100011110…
…1110010100000001000
3100210101010102202201100
41133120331302200020
53134231111332404
6115015244421400
710254112250544
oct1373075624010
9323333382640
10102424324104
113a48a951743
1217a25847860
139873b63a4b
144d59012a24
1529e6eb7d39
hex17d8f72808

102424324104 has 96 divisors (see below), whose sum is σ = 279088992000. Its totient is φ = 33933841920.

The previous prime is 102424324103. The next prime is 102424324129. The reversal of 102424324104 is 401423424201.

102424324104 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 243 + 2 + 410 + 4 = 666.

It is a super-2 number, since 2×1024243241042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102424324103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15800544 + ... + 15807024.

It is an arithmetic number, because the mean of its divisors is an integer number (2907177000).

Almost surely, 2102424324104 is an apocalyptic number.

It is an amenable number.

102424324104 is an abundant number, since it is smaller than the sum of its proper divisors (176664667896).

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

102424324104 is a wasteful number, since it uses less digits than its factorization.

102424324104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102424324104 its reverse (401423424201), we get a palindrome (503847748305).

The spelling of 102424324104 in words is "one hundred two billion, four hundred twenty-four million, three hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1103 1194 1592 1791 2206 2388 3309 3582 4412 4776 6481 6618 7164 8824 9927 12962 13236 14328 19443 19854 25924 26472 38886 39708 51848 58329 77772 79416 116658 155544 219497 233316 438994 466632 658491 877988 1289719 1316982 1755976 1975473 2579438 2633964 3869157 3950946 5158876 5267928 7148543 7738314 7901892 10317752 11607471 14297086 15476628 15803784 21445629 23214942 28594172 30953256 42891258 46429884 57188344 64336887 85782516 92859768 128673774 171565032 257347548 514695096 1422560057 2845120114 4267680171 5690240228 8535360342 11380480456 12803040513 17070720684 25606081026 34141441368 51212162052 102424324104