Search a number
-
+
13100032102304 = 25789657104339
BaseRepresentation
bin1011111010100001011011…
…0000101000111110100000
31201101100110202112211121102
42332220112300220332200
53204112331204233204
643510023251413532
72521306002422540
oct276502660507640
951340422484542
1013100032102304
1141a0768671824
121576a5a2b42a8
137404350279b4
1433408b441320
1517ab6661341e
hexbea16c28fa0

13100032102304 has 48 divisors (see below), whose sum is σ = 29806252862400. Its totient is φ = 5551217447424.

The previous prime is 13100032102279. The next prime is 13100032102307. The reversal of 13100032102304 is 40320123000131.

It is a super-3 number, since 3×131000321023043 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13100032102307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328532234 + ... + 328572105.

It is an arithmetic number, because the mean of its divisors is an integer number (620963601300).

Almost surely, 213100032102304 is an apocalyptic number.

13100032102304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13100032102304 is an abundant number, since it is smaller than the sum of its proper divisors (16706220760096).

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

13100032102304 is an equidigital number, since it uses as much as digits as its factorization.

13100032102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657104445 (or 657104437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13100032102304 its reverse (40320123000131), we get a palindrome (53420155102435).

The spelling of 13100032102304 in words is "thirteen trillion, one hundred billion, thirty-two million, one hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2848 4984 9968 19936 657104339 1314208678 2628417356 4599730373 5256834712 9199460746 10513669424 18398921492 21027338848 36797842984 58482286171 73595685968 116964572342 147191371936 233929144684 409376003197 467858289368 818752006394 935716578736 1637504012788 1871433157472 3275008025576 6550016051152 13100032102304