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103331112031 = 743834136057
BaseRepresentation
bin110000000111100000…
…0111010010001011111
3100212201022201100220101
41200033000322101133
53143110231041111
6115245240201531
710315432650250
oct1401700722137
9325638640811
10103331112031
113a90579a954
12180394692a7
139989995c54
145003618b27
152a4b8d5bc1
hex180f03a45f

103331112031 has 16 divisors (see below), whose sum is σ = 122294962944. Its totient is φ = 85467461184.

The previous prime is 103331112013. The next prime is 103331112139. The reversal of 103331112031 is 130211133301.

It is not a de Polignac number, because 103331112031 - 25 = 103331111999 is a prime.

It is a super-2 number, since 2×1033311120312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103331112331) 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, 2043046 + ... + 2093011.

It is an arithmetic number, because the mean of its divisors is an integer number (7643435184).

Almost surely, 2103331112031 is an apocalyptic number.

103331112031 is a deficient number, since it is larger than the sum of its proper divisors (18963850913).

103331112031 is an equidigital number, since it uses as much as digits as its factorization.

103331112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136190.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 103331112031 its reverse (130211133301), we get a palindrome (233542245332).

The spelling of 103331112031 in words is "one hundred three billion, three hundred thirty-one million, one hundred twelve thousand, thirty-one".

Divisors: 1 7 43 83 301 581 3569 24983 4136057 28952399 177850451 343292731 1244953157 2403049117 14761587433 103331112031