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131012200102432 = 25112591375741687
BaseRepresentation
bin11101110010011110100111…
…101001011111101000100000
3122011212122101111002010112111
4131302132213221133220200
5114133000441211234212
61142350101315005104
736411214310466325
oct3562364751375040
9564778344063474
10131012200102432
1138820a64527700
121283b060899794
1358145222a733c
14244d04aa30b4c
151022ddbe09ea7
hex7727a7a5fa20

131012200102432 has 144 divisors (see below), whose sum is σ = 288343261200960. Its totient is φ = 58536001441280.

The previous prime is 131012200102429. The next prime is 131012200102451. The reversal of 131012200102432 is 234201002210131.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 3142738293 + ... + 3142779979.

It is an arithmetic number, because the mean of its divisors is an integer number (2002383758340).

Almost surely, 2131012200102432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131012200102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144171630600480).

131012200102432 is an abundant number, since it is smaller than the sum of its proper divisors (157331061098528).

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

131012200102432 is a wasteful number, since it uses less digits than its factorization.

131012200102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55535 (or 55516 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131012200102432 its reverse (234201002210131), we get a palindrome (365213202312563).

The spelling of 131012200102432 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 121 176 236 242 352 472 484 649 944 968 1298 1888 1936 2596 3872 5192 7139 10384 13757 14278 20768 27514 28556 41687 55028 57112 83374 110056 114224 151327 166748 220112 228448 302654 333496 440224 458557 605308 666992 811663 917114 1210616 1333984 1623326 1664597 1834228 2421232 2459533 3246652 3329194 3668456 4842464 4919066 5044127 6493304 6658388 7336912 8928293 9838132 10088254 12986608 13316776 14673824 17856586 19676264 20176508 25973216 26633552 27054863 35713172 39352528 40353016 53267104 54109726 71426344 78705056 80706032 98211223 108219452 142852688 161412064 196422446 216438904 285705376 297603493 392844892 432877808 573488059 595206986 785689784 865755616 1146976118 1190413972 1571379568 2293952236 2380827944 3142759136 4587904472 4761655888 6308368649 9175808944 9523311776 12616737298 18351617888 25233474596 33835795481 50466949192 67671590962 69392055139 100933898384 135343181924 138784110278 201867796768 270686363848 277568220556 372193750291 541372727696 555136441112 744387500582 1082745455392 1110272882224 1488775001164 2220545764448 2977550002328 4094131253201 5955100004656 8188262506402 11910200009312 16376525012804 32753050025608 65506100051216 131012200102432