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103110331311 = 3213881284883
BaseRepresentation
bin110000000000111011…
…0101100101110101111
3100212010221021112200200
41200001312230232233
53142132221100221
6115211312124543
710310112232551
oct1400166545657
9325127245620
10103110331311
113a802104049
1217b97536753
139953014080
144dc21874d1
152a37324426
hex1801dacbaf

103110331311 has 12 divisors (see below), whose sum is σ = 160393848888. Its totient is φ = 63452511504.

The previous prime is 103110331301. The next prime is 103110331327. The reversal of 103110331311 is 113133011301.

103110331311 is a `hidden beast` number, since 10 + 3 + 1 + 10 + 331 + 311 = 666.

It is a de Polignac number, because none of the positive numbers 2k-103110331311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110331301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440642325 + ... + 440642558.

It is an arithmetic number, because the mean of its divisors is an integer number (13366154074).

Almost surely, 2103110331311 is an apocalyptic number.

103110331311 is a deficient number, since it is larger than the sum of its proper divisors (57283517577).

103110331311 is a wasteful number, since it uses less digits than its factorization.

103110331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881284902 (or 881284899 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 103110331311 its reverse (113133011301), we get a palindrome (216243342612).

The spelling of 103110331311 in words is "one hundred three billion, one hundred ten million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 13 39 117 881284883 2643854649 7931563947 11456703479 34370110437 103110331311