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10042140121 = 133836832953
BaseRepresentation
bin10010101101000111…
…01110010111011001
3221220212001120111121
421112203232113121
5131031241440441
64340245525241
7503565532306
oct112643562731
927825046447
1010042140121
114293587562
121b43113821
13c40653160
146b39b20ad
153db933dd1
hex2568ee5d9

10042140121 has 16 divisors (see below), whose sum is σ = 10862401536. Its totient is φ = 9228802176.

The previous prime is 10042140113. The next prime is 10042140131. The reversal of 10042140121 is 12104124001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10042140121 - 23 = 10042140113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042140095 and 10042140104.

It is not an unprimeable number, because it can be changed into a prime (10042140131) 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, 3399181 + ... + 3402133.

It is an arithmetic number, because the mean of its divisors is an integer number (678900096).

Almost surely, 210042140121 is an apocalyptic number.

It is an amenable number.

10042140121 is a deficient number, since it is larger than the sum of its proper divisors (820261415).

10042140121 is a wasteful number, since it uses less digits than its factorization.

10042140121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10042140121 its reverse (12104124001), we get a palindrome (22146264122).

The spelling of 10042140121 in words is "ten billion, forty-two million, one hundred forty thousand, one hundred twenty-one".

Divisors: 1 13 383 683 2953 4979 8879 38389 261589 1130999 2016899 3400657 14702987 26219687 772472317 10042140121