Search a number
-
+
12312303320331 = 3271392815003543
BaseRepresentation
bin1011001100101010111001…
…1101110011110100001011
31121121001012120212120011100
42303022232131303310023
53103211044122222311
642104105530032443
72410351232310420
oct263125635636413
947531176776140
1012312303320331
113a17689274833
12146a259578723
136b40784741a1
14307cc0b37d47
151654107b7a56
hexb32ae773d0b

12312303320331 has 48 divisors (see below), whose sum is σ = 20544151380480. Its totient is φ = 6960127063680.

The previous prime is 12312303320321. The next prime is 12312303320419. The reversal of 12312303320331 is 13302330321321.

12312303320331 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 3 + 0 + 3 + 320 + 331 = 666.

It is not a de Polignac number, because 12312303320331 - 25 = 12312303320299 is a prime.

It is a super-2 number, since 2×123123033203312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12312303320295 and 12312303320304.

It is not an unprimeable number, because it can be changed into a prime (12312303320321) 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, 41055 + ... + 4962488.

It is an arithmetic number, because the mean of its divisors is an integer number (428003153760).

Almost surely, 212312303320331 is an apocalyptic number.

12312303320331 is a deficient number, since it is larger than the sum of its proper divisors (8231848060149).

12312303320331 is a wasteful number, since it uses less digits than its factorization.

12312303320331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003976 (or 5003973 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12312303320331 its reverse (13302330321321), we get a palindrome (25614633641652).

The spelling of 12312303320331 in words is "twelve trillion, three hundred twelve billion, three hundred three million, three hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 139 281 417 843 973 1251 1967 2529 2919 5901 8757 17703 39059 117177 273413 351531 820239 2460717 5003543 15010629 35024801 45031887 105074403 315223209 695492477 1405995583 2086477431 4217986749 4868447339 6259432293 9841969081 12653960247 14605342017 29525907243 43816026051 88577721729 195433386037 586300158111 1368033702259 1758900474333 4104101106777 12312303320331