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13431210342 = 23116797173181
BaseRepresentation
bin11001000001001000…
…00000000101100110
31021200001012011211220
430200210000011212
5210001342212332
610100433241210
7653560255434
oct144044000546
937601164756
1013431210342
115772628140
12272a103206
131360820154
14915b35d54
1553922cd2c
hex320900166

13431210342 has 128 divisors (see below), whose sum is σ = 30389119488. Its totient is φ = 3923251200.

The previous prime is 13431210323. The next prime is 13431210379. The reversal of 13431210342 is 24301213431.

It is a happy number.

It is a super-2 number, since 2×134312103422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 74205492 + ... + 74205672.

It is an arithmetic number, because the mean of its divisors is an integer number (237414996).

Almost surely, 213431210342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431210342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194559744).

13431210342 is an abundant number, since it is smaller than the sum of its proper divisors (16957909146).

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

13431210342 is a wasteful number, since it uses less digits than its factorization.

13431210342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13431210342 its reverse (24301213431), we get a palindrome (37732423773).

The spelling of 13431210342 in words is "thirteen billion, four hundred thirty-one million, two hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 97 134 173 181 194 201 291 346 362 402 519 543 582 737 1038 1067 1086 1474 1903 1991 2134 2211 3201 3806 3982 4422 5709 5973 6402 6499 11418 11591 11946 12127 12998 16781 17557 19497 23182 24254 31313 33562 34773 35114 36381 38994 50343 52671 62626 69546 71489 72762 93939 100686 105342 127501 133397 142978 184591 187878 193127 214467 255002 266794 344443 369182 382503 386254 400191 428934 553773 579381 688886 765006 800382 1033329 1107546 1124327 1158762 1176319 2066658 2097971 2248654 2352638 3037361 3372981 3528957 4195942 6074722 6293913 6745962 7057914 9112083 12367597 12587826 12939509 18224166 23077681 24735194 25879018 33410971 37102791 38818527 46155362 66821942 69233043 74205582 77637054 100232913 138466086 200465826 203503187 407006374 610509561 1221019122 2238535057 4477070114 6715605171 13431210342