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10120021331 = 7311013891187
BaseRepresentation
bin10010110110011001…
…10100010101010011
3222010021121100102212
421123030310111103
5131211211140311
64352111102335
7505532522240
oct113314642523
928107540385
1010120021331
1143235408a2
121b652119ab
13c53821004
146c00865c7
153e36b9c8b
hex25b334553

10120021331 has 32 divisors (see below), whose sum is σ = 12098211840. Its totient is φ = 8283024000.

The previous prime is 10120021313. The next prime is 10120021411. The reversal of 10120021331 is 13312002101.

10120021331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10120021331 is a prime.

It is a super-2 number, since 2×101200213312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120021031) 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 31 ways as a sum of consecutive naturals, for example, 8525120 + ... + 8526306.

It is an arithmetic number, because the mean of its divisors is an integer number (378069120).

Almost surely, 210120021331 is an apocalyptic number.

10120021331 is a deficient number, since it is larger than the sum of its proper divisors (1978190509).

10120021331 is a wasteful number, since it uses less digits than its factorization.

10120021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10120021331 its reverse (13312002101), we get a palindrome (23432023432).

The spelling of 10120021331 in words is "ten billion, one hundred twenty million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 7 31 101 217 389 707 1187 2723 3131 8309 12059 21917 36797 39289 84413 119887 257579 275023 461743 839209 1217959 3232201 3716497 8525713 14314033 26015479 46636043 100198231 326452301 1445717333 10120021331