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132256516150031 = 713210115140917923
BaseRepresentation
bin11110000100100101011110…
…101010100001001100001111
3122100021121012000020201021012
4132010211132222201030033
5114313342321113300111
61145141445454155435
736600134522414330
oct3604453652411417
9570247160221235
10132256516150031
11391607454a0219
1212a002477b2b7b
1358a4974b92200
14249336ca2a287
15104546748148b
hex78495eaa130f

132256516150031 has 96 divisors (see below), whose sum is σ = 166802912087040. Its totient is φ = 102662951040000.

The previous prime is 132256516150013. The next prime is 132256516150039. The reversal of 132256516150031 is 130051615652231.

It is a de Polignac number, because none of the positive numbers 2k-132256516150031 is a prime.

It is a super-2 number, since 2×1322565161500312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132256516150039) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7379141636 + ... + 7379159558.

It is an arithmetic number, because the mean of its divisors is an integer number (1737530334240).

Almost surely, 2132256516150031 is an apocalyptic number.

132256516150031 is a deficient number, since it is larger than the sum of its proper divisors (34546395937009).

132256516150031 is a wasteful number, since it uses less digits than its factorization.

132256516150031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18617 (or 18604 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 132256516150031 in words is "one hundred thirty-two trillion, two hundred fifty-six billion, five hundred sixteen million, one hundred fifty thousand, thirty-one".

Divisors: 1 7 13 91 101 151 169 409 707 1057 1183 1313 1963 2863 5317 9191 13741 15251 17069 17923 25519 37219 41309 61759 69121 106757 119483 125461 178633 198263 232999 289163 432313 483847 537017 802867 1387841 1630993 1810223 2577419 2706373 3028987 3759119 5620069 6237659 6981221 7330507 10437271 12671561 18041933 18944611 21202909 23532899 35182849 43663613 48868547 51313549 73060897 81089567 95296591 164730293 246279943 273343673 305927687 457377037 567626969 667076137 740381207 1054164371 1106906557 1238855683 1913405711 2141493809 3201639259 3553467749 5182668449 7379150597 7748345899 8671989781 9624955691 14389785241 24874274243 46195080737 67374689837 100728496687 111797562257 125124423983 187067208133 323365565159 782582935799 875870967881 1309470456931 1453368309341 10173578165387 18893788021433 132256516150031