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131032031332240 = 24522923413055277
BaseRepresentation
bin11101110010110001000101…
…101011101000011110010000
3122011221112120120000222121101
4131302301011223220132100
5114133312100010112430
61142403141215034144
736412515613246003
oct3562610553503620
9564845516028541
10131032031332240
1138829410764125
1212842a7620b954
135816362a1064c
14244ddac74353a
15102369ce39dca
hex772c45ae8790

131032031332240 has 80 divisors (see below), whose sum is σ = 306110624831280. Its totient is φ = 52161627248640.

The previous prime is 131032031332229. The next prime is 131032031332283. The reversal of 131032031332240 is 42233130230131.

It can be written as a sum of positive squares in 8 ways, for example, as 13342860172944 + 117689171159296 = 3652788^2 + 10848464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 131032031332199 and 131032031332208.

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 15 ways as a sum of consecutive naturals, for example, 41359482 + ... + 44414758.

It is an arithmetic number, because the mean of its divisors is an integer number (3826382810391).

Almost surely, 2131032031332240 is an apocalyptic number.

131032031332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032031332240 is an abundant number, since it is smaller than the sum of its proper divisors (175078593499040).

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

131032031332240 is a wasteful number, since it uses less digits than its factorization.

131032031332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057860 (or 3057854 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 131032031332240 its reverse (42233130230131), we get a palindrome (173265161562371).

The spelling of 131032031332240 in words is "one hundred thirty-one trillion, thirty-two billion, thirty-one million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 2341 3664 4580 4682 9160 9364 11705 18320 18728 23410 37456 46820 93640 187280 536089 1072178 2144356 2680445 3055277 4288712 5360890 6110554 8577424 10721780 12221108 15276385 21443560 24442216 30552770 42887120 48884432 61105540 122211080 244422160 699658433 1399316866 2798633732 3498292165 5597267464 6996584330 7152403457 11194534928 13993168660 14304806914 27986337320 28609613828 35762017285 55972674640 57219227656 71524034570 114438455312 143048069140 286096138280 572192276560 1637900391653 3275800783306 6551601566612 8189501958265 13103203133224 16379003916530 26206406266448 32758007833060 65516015666120 131032031332240