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42131601300351 = 3199114436167281
BaseRepresentation
bin10011001010001100001110…
…01000010001101101111111
312112011202000201211121000210
421211012013020101231333
521010241004413102401
6225334553533523503
711605623233123223
oct1145060710215577
9175152021747023
1042131601300351
1112473a03624702
124885478043593
131a67cba6a3254
14a59274d86783
154d0e164174d6
hex265187211b7f

42131601300351 has 16 divisors (see below), whose sum is σ = 56462700166400. Its totient is φ = 27944143032960.

The previous prime is 42131601300277. The next prime is 42131601300413. The reversal of 42131601300351 is 15300310613124.

42131601300351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42131601300351 - 219 = 42131600776063 is a prime.

It is a super-2 number, since 2×421316013003512 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131601305351) 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, 3747831 + ... + 9915111.

It is an arithmetic number, because the mean of its divisors is an integer number (3528918760400).

Almost surely, 242131601300351 is an apocalyptic number.

42131601300351 is a deficient number, since it is larger than the sum of its proper divisors (14331098866049).

42131601300351 is a wasteful number, since it uses less digits than its factorization.

42131601300351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178926.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 42131601300351 its reverse (15300310613124), we get a palindrome (57431911913475).

The spelling of 42131601300351 in words is "forty-two trillion, one hundred thirty-one billion, six hundred one million, three hundred thousand, three hundred fifty-one".

Divisors: 1 3 199 597 11443 34329 2277157 6167281 6831471 18501843 1227288919 3681866757 70572196483 211716589449 14043867100117 42131601300351