Search a number
-
+
23330411311131 = 3216321175371963
BaseRepresentation
bin1010100111000000010001…
…11000001111000000011011
310001121100212110220111000200
411103200020320033000123
511024221140243424011
6121341502030433243
74625365225052121
oct523401070170033
9101540773814020
1023330411311131
11748540aa651a1
12274970b662823
1310030822a94a2
145a92ab1ab911
152a6d26a5c856
hex153808e0f01b

23330411311131 has 24 divisors (see below), whose sum is σ = 34066921776576. Its totient is φ = 15384924883440.

The previous prime is 23330411311079. The next prime is 23330411311147. The reversal of 23330411311131 is 13111311403332.

23330411311131 is a `hidden beast` number, since 2 + 3 + 3 + 304 + 11 + 311 + 1 + 31 = 666.

It is not a de Polignac number, because 23330411311131 - 27 = 23330411311003 is a prime.

It is a super-2 number, since 2×233304113111312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23330411311095 and 23330411311104.

It is not an unprimeable number, because it can be changed into a prime (23330411311171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37376445 + ... + 37995518.

It is an arithmetic number, because the mean of its divisors is an integer number (1419455074024).

Almost surely, 223330411311131 is an apocalyptic number.

23330411311131 is a deficient number, since it is larger than the sum of its proper divisors (10736510465445).

23330411311131 is a wasteful number, since it uses less digits than its factorization.

23330411311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75372343 (or 75372340 counting only the distinct ones).

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

Adding to 23330411311131 its reverse (13111311403332), we get a palindrome (36441722714463).

The spelling of 23330411311131 in words is "twenty-three trillion, three hundred thirty billion, four hundred eleven million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 163 211 489 633 1467 1899 34393 103179 309537 75371963 226115889 678347667 12285629969 15903484193 36856889907 47710452579 110570669721 143131357737 2592267923459 7776803770377 23330411311131