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12311310332442 = 23112931892331367
BaseRepresentation
bin1011001100100111001101…
…0001110111001000011010
31121120221122101101112212010
42303021303101313020122
53103202030421114232
642103423214530350
72410314514123122
oct263116321671032
947527571345763
1012311310332442
113a17219800290
12146a020b069b6
136b3c4a8208a4
14307c28cd3c82
151653a351e0cc
hexb327347721a

12311310332442 has 128 divisors (see below), whose sum is σ = 29005948108800. Its totient is φ = 3446691494400.

The previous prime is 12311310332389. The next prime is 12311310332491. The reversal of 12311310332442 is 24423301311321.

12311310332442 is digitally balanced in base 2, 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 63 ways as a sum of consecutive naturals, for example, 4115043 + ... + 6446409.

It is an arithmetic number, because the mean of its divisors is an integer number (226608969600).

Almost surely, 212311310332442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311310332442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14502974054400).

12311310332442 is an abundant number, since it is smaller than the sum of its proper divisors (16694637776358).

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

12311310332442 is a wasteful number, since it uses less digits than its factorization.

12311310332442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331532.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12311310332442 its reverse (24423301311321), we get a palindrome (36734611643763).

The spelling of 12311310332442 in words is "twelve trillion, three hundred eleven billion, three hundred ten million, three hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 89 93 174 178 186 267 319 341 534 638 682 899 957 979 1023 1798 1914 1958 2046 2581 2697 2759 2937 5162 5394 5518 5874 7743 8277 9889 15486 16554 19778 28391 29667 30349 56782 59334 60698 80011 85173 91047 160022 170346 182094 240033 480066 880121 1760242 2331367 2640363 4662734 5280726 6994101 13988202 25645037 51290074 67609643 72272377 76935111 135219286 144544754 153870222 202828929 207491663 216817131 405657858 414983326 433634262 622474989 743706073 794996147 1244949978 1487412146 1589992294 2095898933 2231118219 2282408293 2384988441 4191797866 4462236438 4564816586 4769976882 6017258227 6287696799 6432241553 6847224879 12034516454 12575393598 12864483106 13694449758 18051774681 19296724659 23054888263 36103549362 38593449318 46109776526 66189840497 69164664789 70754657083 132379680994 138329329578 141509314166 186535005037 198569521491 212263971249 373070010074 397139042982 424527942498 559605015111 1119210030222 2051885055407 4103770110814 6155655166221 12311310332442