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23311122131331 = 342403711197281
BaseRepresentation
bin1010100110011100010110…
…01001110110100110000011
310001112112002011220121210000
411103032023021312212003
511023412134231200311
6121324552012411043
74624113223533246
oct523161311664603
9101475064817700
1023311122131331
1174782117a5991
122745a27776a83
1310012c9c5bc28
145a839b47925d
152a6598400056
hex15338b276983

23311122131331 has 20 divisors (see below), whose sum is σ = 34822961337384. Its totient is φ = 15540670454400.

The previous prime is 23311122131293. The next prime is 23311122131351. The reversal of 23311122131331 is 13313122111332.

23311122131331 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 112 + 213 + 1 + 331 = 666.

It is not a de Polignac number, because 23311122131331 - 27 = 23311122131203 is a prime.

It is a super-2 number, since 2×233111221313312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23311122131295 and 23311122131304.

It is not an unprimeable number, because it can be changed into a prime (23311122131351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18871411 + ... + 20068691.

Almost surely, 223311122131331 is an apocalyptic number.

23311122131331 is a deficient number, since it is larger than the sum of its proper divisors (11511839206053).

23311122131331 is a wasteful number, since it uses less digits than its factorization.

23311122131331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437664 (or 1437655 counting only the distinct ones).

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

Adding to 23311122131331 its reverse (13313122111332), we get a palindrome (36624244242663).

The spelling of 23311122131331 in words is "twenty-three trillion, three hundred eleven billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 240371 721113 1197281 2163339 3591843 6490017 10775529 19470051 32326587 96979761 287791631251 863374893753 2590124681259 7770374043777 23311122131331