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131322440130200 = 235211357116715771
BaseRepresentation
bin11101110110111111100011…
…011001010001111010011000
3122012222022011122102110121022
4131312333203121101322120
5114203041324133131300
61143144410211302012
736442506326303234
oct3566774331217230
9565868148373538
10131322440130200
1138930596980370
121288b2035aa908
135837864753a77
14246007bb375c4
15102aee858b285
hex776fe3651e98

131322440130200 has 96 divisors (see below), whose sum is σ = 333174755718720. Its totient is φ = 47740239120000.

The previous prime is 131322440130173. The next prime is 131322440130257. The reversal of 131322440130200 is 2031044223131.

It is a self number, because there is not a number n which added to its sum of digits gives 131322440130200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501686 + ... + 16214085.

It is an arithmetic number, because the mean of its divisors is an integer number (3470570372070).

Almost surely, 2131322440130200 is an apocalyptic number.

131322440130200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131322440130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166587377859360).

131322440130200 is an abundant number, since it is smaller than the sum of its proper divisors (201852315588520).

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

131322440130200 is a wasteful number, since it uses less digits than its factorization.

131322440130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16719369 (or 16719360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131322440130200 its reverse (2031044223131), we get a palindrome (133353484353331).

The spelling of 131322440130200 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, four hundred forty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3571 7142 14284 17855 28568 35710 39281 71420 78562 89275 142840 157124 178550 196405 314248 357100 392810 714200 785620 982025 1571240 1964050 3928100 7856200 16715771 33431542 66863084 83578855 133726168 167157710 183873481 334315420 367746962 417894275 668630840 735493924 835788550 919367405 1470987848 1671577100 1838734810 3343154200 3677469620 4596837025 7354939240 9193674050 18387348100 36774696200 59692018241 119384036482 238768072964 298460091205 477536145928 596920182410 656612200651 1193840364820 1313224401302 1492300456025 2387680729640 2626448802604 2984600912050 3283061003255 5252897605208 5969201824100 6566122006510 11938403648200 13132244013020 16415305016275 26264488026040 32830610032550 65661220065100 131322440130200