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131430201024 = 26331123717851
BaseRepresentation
bin111101001100111011…
…0011011011011000000
3110120020121002222121010
41322121312123123000
54123132112413044
6140213405200520
712331651163433
oct1723166333300
9416217088533
10131430201024
1150814a16351
122157b860140
13c517298925
14650b3dd81a
1536436c1bb9
hex1e99d9b6c0

131430201024 has 112 divisors (see below), whose sum is σ = 359270214656. Its totient is φ = 42360192000.

The previous prime is 131430201017. The next prime is 131430201059. The reversal of 131430201024 is 420102034131.

131430201024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7353699 + ... + 7371549.

Almost surely, 2131430201024 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 131430201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179635107328).

131430201024 is an abundant number, since it is smaller than the sum of its proper divisors (227840013632).

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

131430201024 is a wasteful number, since it uses less digits than its factorization.

131430201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19134 (or 19124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131430201024 its reverse (420102034131), we get a palindrome (551532235155).

The spelling of 131430201024 in words is "one hundred thirty-one billion, four hundred thirty million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1237 1488 1984 2474 2976 3711 4948 5952 7422 9896 14844 17851 19792 29688 35702 38347 39584 53553 59376 71404 76694 79168 107106 115041 118752 142808 153388 214212 230082 237504 285616 306776 428424 460164 553381 571232 613552 856848 920328 1106762 1142464 1227104 1660143 1713696 1840656 2213524 2454208 3320286 3427392 3681312 4427048 6640572 7362624 8854096 13281144 17708192 22081687 26562288 35416384 44163374 53124576 66245061 88326748 106249152 132490122 176653496 264980244 353306992 529960488 684532297 706613984 1059920976 1369064594 1413227968 2053596891 2119841952 2738129188 4107193782 4239683904 5476258376 8214387564 10952516752 16428775128 21905033504 32857550256 43810067008 65715100512 131430201024