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42131013320 = 23511593161471
BaseRepresentation
bin100111001111001101…
…000011111011001000
311000202011221020012202
4213033031003323020
51142241014411240
631204341455332
73021021463424
oct471715037310
9130664836182
1042131013320
111695a949980
1281b9711548
133c8570b6a6
14207960bb84
151168b28315
hex9cf343ec8

42131013320 has 64 divisors (see below), whose sum is σ = 103587517440. Its totient is φ = 15294438400.

The previous prime is 42131013313. The next prime is 42131013329. The reversal of 42131013320 is 2331013124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42131013292 and 42131013301.

It is not an unprimeable number, because it can be changed into a prime (42131013329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180185 + ... + 341655.

It is an arithmetic number, because the mean of its divisors is an integer number (1618554960).

Almost surely, 242131013320 is an apocalyptic number.

42131013320 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 42131013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793758720).

42131013320 is an abundant number, since it is smaller than the sum of its proper divisors (61456504120).

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

42131013320 is a wasteful number, since it uses less digits than its factorization.

42131013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162086 (or 162082 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 42131013320 its reverse (2331013124), we get a palindrome (44462026444).

The spelling of 42131013320 in words is "forty-two billion, one hundred thirty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 593 1186 2372 2965 4744 5930 6523 11860 13046 23720 26092 32615 52184 65230 130460 161471 260920 322942 645884 807355 1291768 1614710 1776181 3229420 3552362 6458840 7104724 8880905 14209448 17761810 35523620 71047240 95752303 191504606 383009212 478761515 766018424 957523030 1053275333 1915046060 2106550666 3830092120 4213101332 5266376665 8426202664 10532753330 21065506660 42131013320