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131010411413020 = 22545774611192113
BaseRepresentation
bin11101110010011100111101…
…000010001011111000011100
3122011212110202211100021221111
4131302130331002023320130
5114132433310310204040
61142345204021111404
736411122061050356
oct3562347502137034
9564773684307844
10131010411413020
1138820226898897
121283a841858564
1358142c8847539
14244cd1b2600d6
151022d34d87dea
hex77273d08be1c

131010411413020 has 48 divisors (see below), whose sum is σ = 275729011897248. Its totient is φ = 52288521615360.

The previous prime is 131010411412999. The next prime is 131010411413023. The reversal of 131010411413020 is 20314114010131.

It is a super-2 number, since 2×1310104114130202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131010411412982 and 131010411413000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010411413023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681848484 + ... + 682040596.

It is an arithmetic number, because the mean of its divisors is an integer number (5744354414526).

Almost surely, 2131010411413020 is an apocalyptic number.

131010411413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010411413020 is an abundant number, since it is smaller than the sum of its proper divisors (144718600484228).

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

131010411413020 is a wasteful number, since it uses less digits than its factorization.

131010411413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267190 (or 267188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131010411413020 its reverse (20314114010131), we get a palindrome (151324525423151).

The spelling of 131010411413020 in words is "one hundred thirty-one trillion, ten billion, four hundred eleven million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 457 914 1828 2285 4570 9140 74611 149222 192113 298444 373055 384226 746110 768452 960565 1492220 1921130 3842260 34097227 68194454 87795641 136388908 170486135 175591282 340972270 351182564 438978205 681944540 877956410 1755912820 14333743043 28667486086 57334972172 71668715215 143337430430 286674860860 6550520570651 13101041141302 26202082282604 32752602853255 65505205706510 131010411413020