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42042100330131 = 3116173272063741
BaseRepresentation
bin10011000111100101100000…
…11101001010111010010011
312111212012000020222020001220
421203302300131022322103
521002304210141031011
6225225512501300123
711566304303333046
oct1143626035127223
9174765006866056
1042042100330131
1112439a55668020
12487005a404643
131a5c726086585
14a54bc446ac5d
154cd928cb1506
hex263cb074ae93

42042100330131 has 16 divisors (see below), whose sum is σ = 61152274626048. Its totient is φ = 25480007184800.

The previous prime is 42042100330093. The next prime is 42042100330163. The reversal of 42042100330131 is 13103300124024.

It is a happy number.

42042100330131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42042100330131 - 27 = 42042100330003 is a prime.

It is a super-2 number, since 2×420421003301312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42042100320131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19339921 + ... + 21403661.

It is an arithmetic number, because the mean of its divisors is an integer number (3822017164128).

Almost surely, 242042100330131 is an apocalyptic number.

42042100330131 is a deficient number, since it is larger than the sum of its proper divisors (19110174295917).

42042100330131 is a wasteful number, since it uses less digits than its factorization.

42042100330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681082.

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

Adding to 42042100330131 its reverse (13103300124024), we get a palindrome (55145400454155).

The spelling of 42042100330131 in words is "forty-two trillion, forty-two billion, one hundred million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 617327 1851981 2063741 6191223 6790597 20371791 22701151 68103453 1274003040307 3822009120921 14014033443377 42042100330131