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313312320312030 = 232513267788307959
BaseRepresentation
bin100011100111101001011010…
…1100011100101001011011110
31112002100100212022012211201200
41013033102311203211023132
5312031302112444441110
63030205405401020330
7122665032242216154
oct10717226543451336
91462310768184650
10313312320312030
1190916010865276
122b18203a1846a6
13105a92c05138a0
14575257bd5b3d4
152634e8c0e76c0
hex11cf4b58e52de

313312320312030 has 48 divisors (see below), whose sum is σ = 877274496876960. Its totient is φ = 77123032691904.

The previous prime is 313312320312023. The next prime is 313312320312037. The reversal of 313312320312030 is 30213023213313.

313312320312030 is a `hidden beast` number, since 3 + 1 + 3 + 312 + 3 + 2 + 0 + 312 + 0 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (313312320312023) and next prime (313312320312037).

It is a super-2 number, since 2×3133123203120302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313312320311985 and 313312320312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312320312037) 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, 133894152810 + ... + 133894155149.

It is an arithmetic number, because the mean of its divisors is an integer number (18276552018270).

Almost surely, 2313312320312030 is an apocalyptic number.

313312320312030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313312320312030 is an abundant number, since it is smaller than the sum of its proper divisors (563962176564930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313312320312030 is a wasteful number, since it uses less digits than its factorization.

313312320312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267788307985 (or 267788307982 counting only the distinct ones).

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

Adding to 313312320312030 its reverse (30213023213313), we get a palindrome (343525343525343).

The spelling of 313312320312030 in words is "three hundred thirteen trillion, three hundred twelve billion, three hundred twenty million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 267788307959 535576615918 803364923877 1338941539795 1606729847754 2410094771631 2677883079590 3481248003467 4016824619385 4820189543262 6962496006934 8033649238770 10443744010401 12050473858155 17406240017335 20887488020802 24100947716310 31331232031203 34812480034670 52218720052005 62662464062406 104437440104010 156656160156015 313312320312030