Search a number
-
+
102252662130 = 23516720409713
BaseRepresentation
bin101111100111010111…
…0111100110101110010
3100202221011102102202110
41133032232330311302
53133403140142010
6114550233230150
710246626200403
oct1371656746562
9322834372673
10102252662130
113a401a64543
1217998262356
13984741c108
144d402c99aa
1529d6daa120
hex17cebbcd72

102252662130 has 32 divisors (see below), whose sum is σ = 246875900544. Its totient is φ = 27104097536.

The previous prime is 102252662123. The next prime is 102252662147. The reversal of 102252662130 is 31266252201.

102252662130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022526621302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10199847 + ... + 10209866.

It is an arithmetic number, because the mean of its divisors is an integer number (7714871892).

Almost surely, 2102252662130 is an apocalyptic number.

102252662130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102252662130 is an abundant number, since it is smaller than the sum of its proper divisors (144623238414).

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

102252662130 is a wasteful number, since it uses less digits than its factorization.

102252662130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20409890.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 102252662130 in words is "one hundred two billion, two hundred fifty-two million, six hundred sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 167 334 501 835 1002 1670 2505 5010 20409713 40819426 61229139 102048565 122458278 204097130 306145695 612291390 3408422071 6816844142 10225266213 17042110355 20450532426 34084220710 51126331065 102252662130