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10042241131 = 137383127493
BaseRepresentation
bin10010101101001000…
…00111000001101011
3221220212020201001201
421112210013001223
5131031303204011
64340252025031
7503566432636
oct112644070153
927825221051
1010042241131
11429364643a
121b43162177
13c4068a120
146b39dac1d
153db953cc1
hex25690706b

10042241131 has 16 divisors (see below), whose sum is σ = 11095037856. Its totient is φ = 9032553216.

The previous prime is 10042241129. The next prime is 10042241137. The reversal of 10042241131 is 13114224001.

It is a cyclic number.

It is not a de Polignac number, because 10042241131 - 21 = 10042241129 is a prime.

It is a super-2 number, since 2×100422411312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10042241099 and 10042241108.

It is not an unprimeable number, because it can be changed into a prime (10042241137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15021 + ... + 142513.

It is an arithmetic number, because the mean of its divisors is an integer number (693439866).

Almost surely, 210042241131 is an apocalyptic number.

10042241131 is a deficient number, since it is larger than the sum of its proper divisors (1052796725).

10042241131 is a wasteful number, since it uses less digits than its factorization.

10042241131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127662.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10042241131 its reverse (13114224001), we get a palindrome (23156465132).

The spelling of 10042241131 in words is "ten billion, forty-two million, two hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 13 73 83 949 1079 6059 78767 127493 1657409 9306989 10581919 120990857 137564947 772480087 10042241131