Search a number
-
+
331131011102111 = 112927717872097031
BaseRepresentation
bin100101101001010010111001…
…0010010100111010110011111
31121102102211000111120022210102
41023102211302102213112133
5321400222302320231421
63132131253024331315
7126514266100003253
oct11322456222472637
91542384014508712
10331131011102111
1196565967221580
123117b4a9773b3b
131129c69c30a99c
145baab7dad2263
15284372688860b
hex12d29724a759f

331131011102111 has 32 divisors (see below), whose sum is σ = 375249281057280. Its totient is φ = 289436442422400.

The previous prime is 331131011102011. The next prime is 331131011102119. The reversal of 331131011102111 is 111201110131133.

It is a cyclic number.

It is not a de Polignac number, because 331131011102111 - 214 = 331131011085727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331131011102119) 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, 156856166 + ... + 158953196.

It is an arithmetic number, because the mean of its divisors is an integer number (11726540033040).

Almost surely, 2331131011102111 is an apocalyptic number.

331131011102111 is a deficient number, since it is larger than the sum of its proper divisors (44118269955169).

331131011102111 is a wasteful number, since it uses less digits than its factorization.

331131011102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099135.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 331131011102111 its reverse (111201110131133), we get a palindrome (442332121233244).

The spelling of 331131011102111 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, eleven million, one hundred two thousand, one hundred eleven".

Divisors: 1 11 29 277 319 1787 3047 8033 19657 51823 88363 494999 570053 2097031 5444989 14354971 23067341 60813899 157904681 580877587 668952889 3747394397 6389653457 16845450023 41221338367 108674437513 185299950253 1038028247969 1195418812643 11418310727659 30102819191101 331131011102111