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10342012131 = 3211709147341
BaseRepresentation
bin10011010000110111…
…01001010011100011
3222200202022122120100
421220123221103203
5132140023342011
64430121113443
7514166436603
oct115033512343
928622278510
1010342012131
114427883870
122007628883
13c8a807909
14701750c03
15407e19d56
hex2686e94e3

10342012131 has 24 divisors (see below), whose sum is σ = 16319599920. Its totient is φ = 6259003200.

The previous prime is 10342012111. The next prime is 10342012147. The reversal of 10342012131 is 13121024301.

10342012131 is a `hidden beast` number, since 103 + 420 + 12 + 131 = 666.

10342012131 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 10342012131 - 25 = 10342012099 is a prime.

It is a super-2 number, since 2×103420121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342012111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3480 + ... + 143861.

It is an arithmetic number, because the mean of its divisors is an integer number (679983330).

Almost surely, 210342012131 is an apocalyptic number.

10342012131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10342012131 is a deficient number, since it is larger than the sum of its proper divisors (5977587789).

10342012131 is a wasteful number, since it uses less digits than its factorization.

10342012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148067 (or 148064 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10342012131 its reverse (13121024301), we get a palindrome (23463036432).

The spelling of 10342012131 in words is "ten billion, three hundred forty-two million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 709 2127 6381 7799 23397 70191 147341 442023 1326069 1620751 4862253 14586759 104464769 313394307 940182921 1149112459 3447337377 10342012131