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42311010120 = 23357112739103
BaseRepresentation
bin100111011001111011…
…101100011101001000
311001012201122000101220
4213121323230131020
51143123104310440
631234251442040
73025335436431
oct473173543510
9131181560356
1042311010120
1116a4250a165
128249a56320
133cb3ab0c82
1420954a4488
1511798308d0
hex9d9eec748

42311010120 has 128 divisors (see below), whose sum is σ = 129737687040. Its totient is φ = 11036148480.

The previous prime is 42311010109. The next prime is 42311010143. The reversal of 42311010120 is 2101011324.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42311010120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062489 + ... + 1101591.

It is an arithmetic number, because the mean of its divisors is an integer number (1013575680).

Almost surely, 242311010120 is an apocalyptic number.

42311010120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42311010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64868843520).

42311010120 is an abundant number, since it is smaller than the sum of its proper divisors (87426676920).

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

42311010120 is a wasteful number, since it uses less digits than its factorization.

42311010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39315 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 42311010120 its reverse (2101011324), we get a palindrome (44412021444).

The spelling of 42311010120 in words is "forty-two billion, three hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 127 142 213 254 284 355 381 426 508 568 635 710 762 852 1016 1065 1270 1420 1524 1704 1905 2130 2540 2840 3048 3810 4260 5080 7620 8520 9017 15240 18034 27051 36068 39103 45085 54102 72136 78206 90170 108204 117309 135255 156412 180340 195515 216408 234618 270510 312824 360680 391030 469236 541020 586545 782060 938472 1082040 1173090 1564120 2346180 2776313 4692360 4966081 5552626 8328939 9932162 11105252 13881565 14898243 16657878 19864324 22210504 24830405 27763130 29796486 33315756 39728648 41644695 49660810 55526260 59592972 66631512 74491215 83289390 99321620 111052520 119185944 148982430 166578780 198643240 297964860 333157560 352591751 595929720 705183502 1057775253 1410367004 1762958755 2115550506 2820734008 3525917510 4231101012 5288876265 7051835020 8462202024 10577752530 14103670040 21155505060 42311010120