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100103430031 = 1174597121993
BaseRepresentation
bin101110100111010100…
…0010001111110001111
3100120101101021010120121
41131032220101332033
53120002434230111
6113553055525411
710142441054533
oct1351650217617
9316341233517
10100103430031
11394a985a670
1217498529867
139594084547
144bb8aa5bc3
15290d36a871
hex174ea11f8f

100103430031 has 8 divisors (see below), whose sum is σ = 109206100944. Its totient is φ = 91001152320.

The previous prime is 100103430023. The next prime is 100103430043. The reversal of 100103430031 is 130034301001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100103430031 - 23 = 100103430023 is a prime.

It is a super-2 number, since 2×1001034300312 (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 = 100103429987 and 100103430014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103430061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759571 + ... + 881563.

It is an arithmetic number, because the mean of its divisors is an integer number (13650762618).

Almost surely, 2100103430031 is an apocalyptic number.

100103430031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100103430031 is a deficient number, since it is larger than the sum of its proper divisors (9102670913).

100103430031 is a wasteful number, since it uses less digits than its factorization.

100103430031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196601.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100103430031 its reverse (130034301001), we get a palindrome (230137731032).

The spelling of 100103430031 in words is "one hundred billion, one hundred three million, four hundred thirty thousand, thirty-one".

Divisors: 1 11 74597 121993 820567 1341923 9100311821 100103430031