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13332022023331 = 1119283280180473
BaseRepresentation
bin1100001000000001101001…
…1011111101010010100011
31202012112021112111212221201
43002000122123331102203
53221412440114221311
644204351340502031
72544130635261454
oct302003233752243
952175245455851
1013332022023331
11428009595a090
1215b3a0324a917
13759286a6780b
143413b7d6112b
15181be32329c1
hexc201a6fd4a3

13332022023331 has 32 divisors (see below), whose sum is σ = 15369272167680. Its totient is φ = 11437324416000.

The previous prime is 13332022023317. The next prime is 13332022023337.

13332022023331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13332022023331 - 239 = 12782266209443 is a prime.

It is a super-2 number, since 2×133320220233312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13332022023331.

It is not an unprimeable number, because it can be changed into a prime (13332022023337) 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, 165630511 + ... + 165710983.

It is an arithmetic number, because the mean of its divisors is an integer number (480289755240).

Almost surely, 213332022023331 is an apocalyptic number.

13332022023331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332022023331 is a deficient number, since it is larger than the sum of its proper divisors (2037250144349).

13332022023331 is a wasteful number, since it uses less digits than its factorization.

13332022023331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83587.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1333202 and 2023331, that added together give a palindrome (3356533).

The spelling of 13332022023331 in words is "thirteen trillion, three hundred thirty-two billion, twenty-two million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 11 19 209 283 2801 3113 5377 30811 53219 59147 80473 585409 792683 885203 1528987 8719513 15060977 16818857 22773859 165670747 225404873 250512449 432703321 2479453603 4282692587 4759736531 47109618457 63789579059 701685369649 1212002002121 13332022023331