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10111313331 = 327160497037
BaseRepresentation
bin10010110101010111…
…00110010110110011
3222002200012221022100
421122223212112303
5131201444011311
64351200311443
7505365513420
oct113253462663
928080187270
1010111313331
1143196333a9
121b62312583
13c51a92552
146bcc5ad47
153e2a49a56
hex25aae65b3

10111313331 has 12 divisors (see below), whose sum is σ = 16691691952. Its totient is φ = 5777893296.

The previous prime is 10111313309. The next prime is 10111313339. The reversal of 10111313331 is 13331311101.

10111313331 is a `hidden beast` number, since 10 + 1 + 11 + 313 + 331 = 666.

It is not a de Polignac number, because 10111313331 - 25 = 10111313299 is a prime.

It is a super-2 number, since 2×101113133312 (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 (10111313339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80248456 + ... + 80248581.

Almost surely, 210111313331 is an apocalyptic number.

10111313331 is a deficient number, since it is larger than the sum of its proper divisors (6580378621).

10111313331 is a wasteful number, since it uses less digits than its factorization.

10111313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160497050 (or 160497047 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 10111313331 its reverse (13331311101), we get a palindrome (23442624432).

The spelling of 10111313331 in words is "ten billion, one hundred eleven million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 160497037 481491111 1123479259 1444473333 3370437777 10111313331