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10240042131 = 3211127814447
BaseRepresentation
bin10011000100101101…
…01010010010010011
3222102122110001000200
421202112222102103
5131432422322011
64412035350243
7511520631144
oct114226522223
928378401020
1010240042131
114385267240
121b99452383
13c72654537
146d1da9acb
153edec6856
hex2625aa493

10240042131 has 24 divisors (see below), whose sum is σ = 16262897664. Its totient is φ = 6157211760.

The previous prime is 10240042061. The next prime is 10240042133. The reversal of 10240042131 is 13124004201.

10240042131 is a `hidden beast` number, since 1 + 0 + 240 + 0 + 421 + 3 + 1 = 666.

It is not a de Polignac number, because 10240042131 - 215 = 10240009363 is a prime.

It is a super-2 number, since 2×102400421312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10240042133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394651 + ... + 419796.

It is an arithmetic number, because the mean of its divisors is an integer number (677620736).

Almost surely, 210240042131 is an apocalyptic number.

10240042131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10240042131 is a deficient number, since it is larger than the sum of its proper divisors (6022855533).

10240042131 is a wasteful number, since it uses less digits than its factorization.

10240042131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814591 (or 814588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10240042131 its reverse (13124004201), we get a palindrome (23364046332).

The spelling of 10240042131 in words is "ten billion, two hundred forty million, forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 127 381 1143 1397 4191 12573 814447 2443341 7330023 8958917 26876751 80630253 103434769 310304307 930912921 1137782459 3413347377 10240042131