Search a number
-
+
531023042451105 = 325241257379502703
BaseRepresentation
bin111100010111101100110111…
…1110100000001011010100001
32120122012022021212010121221200
41320233121233310001122201
51024100240142331413410
65121220341251111413
7216565102011036651
oct17057315764013241
92518168255117850
10531023042451105
111442226757a3336
124b6839a65a2569
1319a3c347ba2009
14951b91c22c361
15415d1dbd363c0
hex1e2f66fd016a1

531023042451105 has 96 divisors (see below), whose sum is σ = 930305550620160. Its totient is φ = 280197890703360.

The previous prime is 531023042451089. The next prime is 531023042451113. The reversal of 531023042451105 is 501154240320135.

531023042451105 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 2 + 304 + 245 + 1 + 105 = 666.

It is not a de Polignac number, because 531023042451105 - 24 = 531023042451089 is a prime.

It is a super-2 number, since 2×5310230424511052 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 531023042451105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1056084184 + ... + 1056586886.

It is an arithmetic number, because the mean of its divisors is an integer number (9690682818960).

Almost surely, 2531023042451105 is an apocalyptic number.

It is an amenable number.

531023042451105 is a deficient number, since it is larger than the sum of its proper divisors (399282508169055).

531023042451105 is a wasteful number, since it uses less digits than its factorization.

531023042451105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503591 (or 503588 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 531023042451105 in words is "five hundred thirty-one trillion, twenty-three billion, forty-two million, four hundred fifty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 241 257 379 723 771 1137 1205 1285 1895 2169 2313 3411 3615 3855 5685 10845 11565 17055 61937 91339 97403 185811 274017 292209 309685 456695 487015 502703 557433 822051 876627 929055 1370085 1461045 1508109 2513515 2787165 4110255 4383135 4524327 7540545 22621635 23474123 70422369 117370615 121151423 129194671 190524437 211267107 352111845 363454269 387584013 571573311 605757115 645973355 952622185 1056335535 1090362807 1162752039 1714719933 1817271345 1937920065 2857866555 5451814035 5813760195 8573599665 31135915711 45916389317 48964780309 93407747133 137749167951 146894340927 155679578555 229581946585 244823901545 280223241399 413247503853 440683022781 467038735665 688745839755 734471704635 1401116206995 2066237519265 2203415113905 11800512054469 35401536163407 59002560272345 106204608490221 177007680817035 531023042451105