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131133212524340 = 225131493384956441
BaseRepresentation
bin11101110100001111010100…
…100011001111111100110100
3122012022012202001022002210122
4131310033110203033330310
5114141441304401234330
61142521433255111112
736423030152220155
oct3564172443177464
9565265661262718
10131133212524340
113886831291a344
121285a5b3672498
135822a6915a910
142454c4a5d992c
151026120be75e5
hex7743d48cff34

131133212524340 has 48 divisors (see below), whose sum is σ = 298553158184400. Its totient is φ = 48093461099520.

The previous prime is 131133212524309. The next prime is 131133212524351. The reversal of 131133212524340 is 43425212331131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19918386852004 + 111214825672336 = 4463002^2 + 10545844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131133212524340.

It is a congruent number.

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, 1692439481 + ... + 1692516960.

It is an arithmetic number, because the mean of its divisors is an integer number (6219857462175).

Almost surely, 2131133212524340 is an apocalyptic number.

131133212524340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133212524340 is an abundant number, since it is smaller than the sum of its proper divisors (167419945660060).

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

131133212524340 is a wasteful number, since it uses less digits than its factorization.

131133212524340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384956612 (or 3384956610 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 131133212524340 its reverse (43425212331131), we get a palindrome (174558424855471).

The spelling of 131133212524340 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, two hundred twelve million, five hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 149 260 298 596 745 1490 1937 2980 3874 7748 9685 19370 38740 3384956441 6769912882 13539825764 16924782205 33849564410 44004433733 67699128820 88008867466 176017734932 220022168665 440044337330 504358509709 880088674660 1008717019418 2017434038836 2521792548545 5043585097090 6556660626217 10087170194180 13113321252434 26226642504868 32783303131085 65566606262170 131133212524340