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102434515204 = 22743347245183
BaseRepresentation
bin101111101100110010…
…0101010100100000100
3100210101211121112021111
41133121210222210010
53134241213441304
6115020251054404
710254265004320
oct1373144524404
9323354545244
10102434515204
113a49568243a
1217a29141404
139875cc1598
144d5a506980
1529e7d2c704
hex17d992a904

102434515204 has 48 divisors (see below), whose sum is σ = 210238414848. Its totient is φ = 42755817888.

The previous prime is 102434515199. The next prime is 102434515241. The reversal of 102434515204 is 402515434201.

It is a super-3 number, since 3×1024345152043 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295197 + ... + 540379.

It is an arithmetic number, because the mean of its divisors is an integer number (4379966976).

Almost surely, 2102434515204 is an apocalyptic number.

102434515204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102434515204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105119207424).

102434515204 is an abundant number, since it is smaller than the sum of its proper divisors (107803899644).

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

102434515204 is a wasteful number, since it uses less digits than its factorization.

102434515204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245584 (or 245582 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 102434515204 its reverse (402515434201), we get a palindrome (504949949405).

The spelling of 102434515204 in words is "one hundred two billion, four hundred thirty-four million, five hundred fifteen thousand, two hundred four".

Divisors: 1 2 4 7 14 28 43 86 172 301 347 602 694 1204 1388 2429 4858 9716 14921 29842 59684 104447 208894 245183 417788 490366 980732 1716281 3432562 6865124 10542869 21085738 42171476 73800083 85078501 147600166 170157002 295200332 340314004 595549507 1191099014 2382198028 3658375543 7316751086 14633502172 25608628801 51217257602 102434515204