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103312312331 = 1779367720921
BaseRepresentation
bin110000000110111100…
…1001100100000001011
3100212200000100020120012
41200031321030200023
53143040422443311
6115243325222135
710315114110524
oct1401571144013
9325600306505
10103312312331
113a8a611a408
121803310194b
139985b12c77
145000d2384b
152a49e2078b
hex180de4c80b

103312312331 has 16 divisors (see below), whose sum is σ = 110809607040. Its totient is φ = 95973596160.

The previous prime is 103312312291. The next prime is 103312312333. The reversal of 103312312331 is 133213213301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103312312331 is a prime.

It is a super-2 number, since 2×1033123123312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103312312297 and 103312312306.

It is not an unprimeable number, because it can be changed into a prime (103312312333) 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, 4927751 + ... + 4948671.

It is an arithmetic number, because the mean of its divisors is an integer number (6925600440).

Almost surely, 2103312312331 is an apocalyptic number.

103312312331 is a deficient number, since it is larger than the sum of its proper divisors (7497294709).

103312312331 is a wasteful number, since it uses less digits than its factorization.

103312312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24694.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103312312331 its reverse (133213213301), we get a palindrome (236525525632).

The spelling of 103312312331 in words is "one hundred three billion, three hundred twelve million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 17 79 1343 3677 20921 62509 290483 355657 1652759 4938211 28096903 76926517 1307750789 6077194843 103312312331