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103313000321 = 1747226757037
BaseRepresentation
bin110000000110111101…
…1110100011110000001
3100212200001122012022022
41200031323310132001
53143041112002241
6115243352051225
710315123004366
oct1401573643601
9325601565268
10103313000321
113a8a654a2a3
1218033393b15
139985cc416b
14500106246d
152a4a00954b
hex180def4781

103313000321 has 16 divisors (see below), whose sum is σ = 111768926976. Its totient is φ = 95123271936.

The previous prime is 103313000303. The next prime is 103313000333. The reversal of 103313000321 is 123000313301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103313000321 is a prime.

It is a super-2 number, since 2×1033130003212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103313000321.

It is not an unprimeable number, because it can be changed into a prime (103313000621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782815 + ... + 1839851.

It is an arithmetic number, because the mean of its divisors is an integer number (6985557936).

Almost surely, 2103313000321 is an apocalyptic number.

It is an amenable number.

103313000321 is a deficient number, since it is larger than the sum of its proper divisors (8455926655).

103313000321 is a wasteful number, since it uses less digits than its factorization.

103313000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59368.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 103313000321 its reverse (123000313301), we get a palindrome (226313313622).

The spelling of 103313000321 in words is "one hundred three billion, three hundred thirteen million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 17 47 799 2267 38539 57037 106549 969629 1811333 2680739 45572563 129302879 2198148943 6077235313 103313000321