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10151140131 = 3311163720879
BaseRepresentation
bin10010111010000111…
…00001101100100011
3222012110011100102000
421131003201230203
5131242142441011
64355142055043
7506361160506
oct113503415443
928173140360
1010151140131
11433a065910
121b7371a483
13c5a0c82c2
146c426713d
153e62b5356
hex25d0e1b23

10151140131 has 32 divisors (see below), whose sum is σ = 16416691200. Its totient is φ = 6148153440.

The previous prime is 10151140117. The next prime is 10151140151. The reversal of 10151140131 is 13104115101.

10151140131 is a `hidden beast` number, since 101 + 511 + 40 + 13 + 1 = 666.

It is not a de Polignac number, because 10151140131 - 26 = 10151140067 is a prime.

It is a super-2 number, since 2×101511401312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10151140151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475750 + ... + 496628.

It is an arithmetic number, because the mean of its divisors is an integer number (513021600).

Almost surely, 210151140131 is an apocalyptic number.

10151140131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10151140131 is a deficient number, since it is larger than the sum of its proper divisors (6265551069).

10151140131 is a wasteful number, since it uses less digits than its factorization.

10151140131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22536 (or 22530 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 10151140131 its reverse (13104115101), we get a palindrome (23255255232).

The spelling of 10151140131 in words is "ten billion, one hundred fifty-one million, one hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 1637 4911 14733 18007 20879 44199 54021 62637 162063 187911 229669 486189 563733 689007 2067021 6201063 34178923 102536769 307610307 375968153 922830921 1127904459 3383713377 10151140131