Search a number
-
+
531023151321104 = 241331778697102337
BaseRepresentation
bin111100010111101100111011…
…0010011010101000000010000
32120122012022120102222210111212
41320233121312103111000100
51024100240403214233404
65121220400140355252
7216565104502314131
oct17057316623250020
92518168512883455
10531023151321104
111442227211a2a42
124b683a16b45b28
1319a3c3645ccc30
14951b92c88bc88
15415d1e668e06e
hex1e2f6764d5010

531023151321104 has 80 divisors (see below), whose sum is σ = 1111520483063088. Its totient is φ = 244308969455616.

The previous prime is 531023151321073. The next prime is 531023151321149. The reversal of 531023151321104 is 401123151320135.

It can be written as a sum of positive squares in 8 ways, for example, as 100578835210000 + 430444316111104 = 10028900^2 + 20747152^2 .

It is a super-2 number, since 2×5310231513211042 (a number of 30 digits) contains 22 as substring.

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, 5188914224 + ... + 5189016560.

Almost surely, 2531023151321104 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 531023151321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555760241531544).

531023151321104 is an abundant number, since it is smaller than the sum of its proper divisors (580497331741984).

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

531023151321104 is a wasteful number, since it uses less digits than its factorization.

531023151321104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181372 (or 181366 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 531023151321104 in words is "five hundred thirty-one trillion, twenty-three billion, one hundred fifty-one million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 317 634 1268 2536 4121 5072 8242 16484 32968 65936 78697 102337 157394 204674 314788 409348 629576 818696 1023061 1259152 1330381 1637392 2046122 2660762 4092244 5321524 8184488 10643048 16368976 21286096 24946949 32440829 49893898 64881658 99787796 129763316 199575592 259526632 324310337 399151184 421730777 519053264 648620674 843461554 1297241348 1686923108 2594482696 3373846216 5188965392 6747692432 8053614889 16107229778 32214459556 64428919112 104696993557 128857838224 209393987114 418787974228 837575948456 1675151896912 2552995919813 5105991839626 10211983679252 20423967358504 33188946957569 40847934717008 66377893915138 132755787830276 265511575660552 531023151321104