Search a number
-
+
231121331131311 = 32251823565321991
BaseRepresentation
bin110100100011010000100000…
…110101111001001110101111
31010022022222112221200022220200
4310203100200311321032233
5220243142441232200221
62135315401310244543
766452652020245545
oct6443204065711657
91108288487608820
10231121331131311
1167708008115035
1221b08a421b6753
139bc6856898b8a
144110491465d95
151babee2374426
hexd23420d793af

231121331131311 has 48 divisors (see below), whose sum is σ = 335653852165632. Its totient is φ = 153246462840000.

The previous prime is 231121331131303. The next prime is 231121331131393. The reversal of 231121331131311 is 113131133121132.

231121331131311 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 2 + 1 + 3 + 311 + 31 + 311 = 666.

231121331131311 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 231121331131311 - 23 = 231121331131303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231121331111311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10509803526 + ... + 10509825516.

It is an arithmetic number, because the mean of its divisors is an integer number (6992788586784).

Almost surely, 2231121331131311 is an apocalyptic number.

231121331131311 is a deficient number, since it is larger than the sum of its proper divisors (104532521034321).

231121331131311 is a wasteful number, since it uses less digits than its factorization.

231121331131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28724 (or 28721 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 231121331131311 its reverse (113131133121132), we get a palindrome (344252464252443).

The spelling of 231121331131311 in words is "two hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 251 753 823 2259 2469 5653 7407 16959 21991 50877 65973 197919 206573 619719 1418903 1859157 4256709 4652419 5519741 12770127 13957257 16559223 18098593 41871771 49677669 54295779 124315123 162887337 372945369 1118836107 1167757169 3503271507 4542746843 10509814521 13628240529 31203095873 40884721587 93609287619 102311346229 280827862857 306934038687 920802116061 25680147903479 77040443710437 231121331131311