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42431110111302 = 2311171011877199483
BaseRepresentation
bin10011010010111010000110…
…01111101110000001000110
312120020101010000111122001220
421221131003033232001012
521030142403142030202
6230124325523101210
711636355315036543
oct1151350317560106
9176211100448056
1042431110111302
1112579a29532340
124913524b11806
131a8a30c813343
14a69968b87bca
154d8ae58edabc
hex2697433ee046

42431110111302 has 128 divisors (see below), whose sum is σ = 99046429613568. Its totient is φ = 11975303424000.

The previous prime is 42431110111301. The next prime is 42431110111343. The reversal of 42431110111302 is 20311101113424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431110111301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212605653 + ... + 212805135.

It is an arithmetic number, because the mean of its divisors is an integer number (773800231356).

Almost surely, 242431110111302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42431110111302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49523214806784).

42431110111302 is an abundant number, since it is smaller than the sum of its proper divisors (56615319502266).

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

42431110111302 is a wasteful number, since it uses less digits than its factorization.

42431110111302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201494.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 42431110111302 its reverse (20311101113424), we get a palindrome (62742211224726).

The spelling of 42431110111302 in words is "forty-two trillion, four hundred thirty-one billion, one hundred ten million, one hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1111 1122 1717 1877 2222 3333 3434 3754 5151 5631 6666 10302 11262 18887 20647 31909 37774 41294 56661 61941 63818 95727 113322 123882 189577 191454 199483 350999 379154 398966 568731 598449 701998 1052997 1137462 1196898 2085347 2105994 2194313 3222809 3391211 4170694 4388626 6256041 6445618 6582939 6782422 9668427 10173633 12512082 13165878 19336854 20147783 20347266 35450899 37303321 40295566 60443349 70901798 74606642 106352697 111909963 120886698 212705394 221625613 223819926 342512311 374429591 443251226 664876839 685024622 748859182 1027536933 1123288773 1329753678 2055073866 2246577546 3767635421 4118725501 6365303047 7535270842 8237451002 11302906263 12356176503 12730606094 19095909141 22605812526 24712353006 37817388691 38191818282 70018333517 75634777382 113452166073 140036667034 210055000551 226904332146 415991275601 420110001102 642895607747 831982551202 1247973826803 1285791215494 1928686823241 2495947653606 3857373646482 7071851685217 14143703370434 21215555055651 42431110111302