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13332023331 = 3112791014603
BaseRepresentation
bin11000110101010011…
…01000100000100011
31021102010112221211220
430122221220200203
5204300444221311
610042531310123
7651244220454
oct143251504043
937363487756
1013332023331
115721641500
122700a4b343
131346102703
149068b712b
15530689206
hex31aa68823

13332023331 has 48 divisors (see below), whose sum is σ = 19986516480. Its totient is φ = 7897032000.

The previous prime is 13332023329. The next prime is 13332023357.

13332023331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13332023331 - 21 = 13332023329 is a prime.

It is a super-2 number, since 2×133320233312 (a number of 21 digits) contains 22 as substring.

13332023331 is a modest number, since divided by 23331 gives 13332 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13332023311) 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, 2894076 + ... + 2898678.

It is an arithmetic number, because the mean of its divisors is an integer number (416385760).

Almost surely, 213332023331 is an apocalyptic number.

13332023331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13332023331 is a deficient number, since it is larger than the sum of its proper divisors (6654493149).

13332023331 is a wasteful number, since it uses less digits than its factorization.

13332023331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 133320 and 23331, that added together give a palindrome (156651).

The spelling of 13332023331 in words is "thirteen billion, three hundred thirty-two million, twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 11 33 79 101 121 237 303 363 869 1111 2607 3333 4603 7979 9559 12221 13809 23937 28677 36663 50633 87769 151899 263307 363637 464903 556963 965459 1090911 1394709 1670889 2896377 4000007 5113933 12000021 15341799 36727337 44000077 56253263 110182011 132000231 168759789 404000707 1212002121 4444007777 13332023331