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313013000002230 = 23251119359166927773
BaseRepresentation
bin100011100101011110000010…
…0101011001101101010110110
31112001021202021011020122122200
41013022330010223031222312
5312011401111000032410
63025420104224005330
7122634304636445553
oct10712740453155266
91461252234218580
10313013000002230
11908100822a6310
122b134024460846
1310586ccb462c38
145741ca51c7a2a
15262c2be4483c0
hex11caf04acdab6

313013000002230 has 384 divisors, whose sum is σ = 937744449408000. Its totient is φ = 71642375285760.

The previous prime is 313013000002193. The next prime is 313013000002267. The reversal of 313013000002230 is 32200000310313.

313013000002230 is a `hidden beast` number, since 3 + 130 + 1 + 300 + 0 + 0 + 0 + 2 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (313013000002193) and next prime (313013000002267).

It is a super-3 number, since 3×3130130000022303 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11270392624 + ... + 11270420396.

It is an arithmetic number, because the mean of its divisors is an integer number (2442042837000).

Almost surely, 2313013000002230 is an apocalyptic number.

313013000002230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313013000002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468872224704000).

313013000002230 is an abundant number, since it is smaller than the sum of its proper divisors (624731449405770).

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

313013000002230 is a wasteful number, since it uses less digits than its factorization.

313013000002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29844 (or 29841 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313013000002230 its reverse (32200000310313), we get a palindrome (345213000312543).

The spelling of 313013000002230 in words is "three hundred thirteen trillion, thirteen billion, two thousand, two hundred thirty".