Search a number
-
+
130332210011310 = 23543172297586387
BaseRepresentation
bin11101101000100101010101…
…000101001001110010101110
3122002110122012210202102110210
4131220211111011021302232
5114040330331230330220
61141105442443243250
736311122443206466
oct3550452505116256
9562418183672423
10130332210011310
113858964188578a
121274b309519526
1357953755a4288
142428181070ba6
15101038e8c96e0
hex768955149cae

130332210011310 has 64 divisors (see below), whose sum is σ = 320074063448832. Its totient is φ = 33946739318016.

The previous prime is 130332210011303. The next prime is 130332210011357. The reversal of 130332210011310 is 13110012233031.

It is a happy number.

It is a super-2 number, since 2×1303322100113102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221969937 + ... + 222556323.

It is an arithmetic number, because the mean of its divisors is an integer number (5001157241388).

Almost surely, 2130332210011310 is an apocalyptic number.

130332210011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130332210011310 is an abundant number, since it is smaller than the sum of its proper divisors (189741853437522).

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

130332210011310 is a wasteful number, since it uses less digits than its factorization.

130332210011310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758737.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130332210011310 its reverse (13110012233031), we get a palindrome (143442222244341).

The spelling of 130332210011310 in words is "one hundred thirty trillion, three hundred thirty-two billion, two hundred ten million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 172297 344594 516891 586387 861485 1033782 1172774 1722970 1759161 2584455 2931935 3518322 5168910 5863870 7408771 8795805 14817542 17591610 22226313 25214641 37043855 44452626 50429282 74087710 75643923 111131565 126073205 151287846 222263130 252146410 378219615 756439230 101032720939 202065441878 303098162817 505163604695 606196325634 1010327209390 1515490814085 3030981628170 4344407000377 8688814000754 13033221001131 21722035001885 26066442002262 43444070003770 65166105005655 130332210011310