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103320000031 = 4714997715101
BaseRepresentation
bin110000000111001011…
…0100001011000011111
3100212200112210211002211
41200032112201120133
53143044410000111
6115244202101251
710315236336613
oct1401626413037
9325615724084
10103320000031
113a8aa4a0286
12180357aa827
1399875a51c1
145001d65343
152a4a93d521
hex180e5a161f

103320000031 has 16 divisors (see below), whose sum is σ = 106342243200. Its totient is φ = 100333580800.

The previous prime is 103320000011. The next prime is 103320000059. The reversal of 103320000031 is 130000023301.

It is a cyclic number.

It is not a de Polignac number, because 103320000031 - 27 = 103319999903 is a prime.

It is a super-2 number, since 2×1033200000312 (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 = 103319999966 and 103320000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103320000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6834381 + ... + 6849481.

It is an arithmetic number, because the mean of its divisors is an integer number (6646390200).

Almost surely, 2103320000031 is an apocalyptic number.

103320000031 is a deficient number, since it is larger than the sum of its proper divisors (3022243169).

103320000031 is a wasteful number, since it uses less digits than its factorization.

103320000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 103320000031 its reverse (130000023301), we get a palindrome (233320023332).

The spelling of 103320000031 in words is "one hundred three billion, three hundred twenty million, thirty-one", and thus it is an aban number.

Divisors: 1 47 149 977 7003 15101 45919 145573 709747 2250049 6841931 14753677 105752303 693422819 2198297873 103320000031