Search a number
-
+
310112213313 = 3729791964303
BaseRepresentation
bin1001000001101000010…
…00001101100101000001
31002122110020211200121010
410200310020031211001
520040102211311223
6354244044551133
731255604214660
oct4406410154501
91078406750533
10310112213313
1110a577294891
1250127b524a9
1323321b47996
141101c154dd7
158100335393
hex483420d941

310112213313 has 32 divisors (see below), whose sum is σ = 488916172800. Its totient is φ = 171072127296.

The previous prime is 310112213309. The next prime is 310112213321. The reversal of 310112213313 is 313312211013.

It is a happy number.

It is not a de Polignac number, because 310112213313 - 22 = 310112213309 is a prime.

It is a super-2 number, since 2×3101122133132 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 310112213313.

It is not an unprimeable number, because it can be changed into a prime (310112217313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4790520 + ... + 4854822.

It is an arithmetic number, because the mean of its divisors is an integer number (15278630400).

Almost surely, 2310112213313 is an apocalyptic number.

It is an amenable number.

310112213313 is a deficient number, since it is larger than the sum of its proper divisors (178803959487).

310112213313 is a wasteful number, since it uses less digits than its factorization.

310112213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72261.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 310112213313 its reverse (313312211013), we get a palindrome (623424424326).

The spelling of 310112213313 in words is "three hundred ten billion, one hundred twelve million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 7 21 29 87 203 609 7919 23757 55433 64303 166299 192909 229651 450121 688953 1350363 1607557 1864787 4822671 5594361 13053509 39160527 509215457 1527646371 3564508199 10693524597 14767248253 44301744759 103370737771 310112213313