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10261613331 = 33581365381
BaseRepresentation
bin10011000111010001…
…11100101100010011
3222111011000222011000
421203220330230103
5132003433111311
64414125553043
7512202163014
oct114350745423
928434028130
1010261613331
11439645aa82
121ba4715783
13c76c67b68
146d4bc300b
15400d38056
hex263a3cb13

10261613331 has 16 divisors (see below), whose sum is σ = 15205237920. Its totient is φ = 6839794080.

The previous prime is 10261613311. The next prime is 10261613387. The reversal of 10261613331 is 13331616201.

10261613331 is a `hidden beast` number, since 1 + 0 + 2 + 616 + 13 + 3 + 31 = 666.

10261613331 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 10261613331 - 27 = 10261613203 is a prime.

It is a super-2 number, since 2×102616133312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10261613295 and 10261613304.

It is not an unprimeable number, because it can be changed into a prime (10261613311) 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 15 ways as a sum of consecutive naturals, for example, 124261 + ... + 189641.

It is an arithmetic number, because the mean of its divisors is an integer number (950327370).

Almost surely, 210261613331 is an apocalyptic number.

10261613331 is a deficient number, since it is larger than the sum of its proper divisors (4943624589).

10261613331 is an equidigital number, since it uses as much as digits as its factorization.

10261613331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71203 (or 71197 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10261613331 in words is "ten billion, two hundred sixty-one million, six hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 5813 17439 52317 65381 156951 196143 588429 1765287 380059753 1140179259 3420537777 10261613331