Search a number
-
+
131012201110310 = 251323263166603763
BaseRepresentation
bin11101110010011110100111…
…101101010101101100100110
3122011212122101112222100002022
4131302132213231111230212
5114133000441441012220
61142350101352343142
736411214322164622
oct3562364755255446
9564778345870068
10131012201110310
1138820a65055963
121283b0610a4ab2
13581452256b010
14244d04ac14182
151022ddc058925
hex7727a7b55b26

131012201110310 has 64 divisors (see below), whose sum is σ = 266011565073408. Its totient is φ = 46094596040064.

The previous prime is 131012201110291. The next prime is 131012201110319. The reversal of 131012201110310 is 13011102210131.

It is a super-2 number, since 2×1310122011103102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012201110319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82515512 + ... + 84088251.

It is an arithmetic number, because the mean of its divisors is an integer number (4156430704272).

Almost surely, 2131012201110310 is an apocalyptic number.

131012201110310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131012201110310 is an abundant number, since it is smaller than the sum of its proper divisors (134999363963098).

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

131012201110310 is a wasteful number, since it uses less digits than its factorization.

131012201110310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166604069.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 131012201110310 its reverse (13011102210131), we get a palindrome (144023303320441).

The spelling of 131012201110310 in words is "one hundred thirty-one trillion, twelve billion, two hundred one million, one hundred ten thousand, three hundred ten".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 263 299 526 598 1315 1495 2630 2990 3419 6049 6838 12098 17095 30245 34190 60490 78637 157274 393185 786370 166603763 333207526 833018815 1666037630 2165848919 3831886549 4331697838 7663773098 10829244595 19159432745 21658489190 38318865490 43816789669 49814525137 87633579338 99629050274 219083948345 249072625685 438167896690 498145251370 569618265697 1007786162387 1139236531394 2015572324774 2848091328485 5038930811935 5696182656970 10077861623870 13101220111031 26202440222062 65506100555155 131012201110310