Search a number
-
+
103100182031 = 7115692353187
BaseRepresentation
bin110000000000100111…
…1111110111000001111
3100212010020011220111102
41200001033332320033
53142122121311111
6115210310413315
710306630042040
oct1400117767017
9325106156442
10103100182031
113a7a7401810
1217b9406123b
139950b9c592
144dc0aa48c7
152a364bc13b
hex18013fee0f

103100182031 has 16 divisors (see below), whose sum is σ = 128766447360. Its totient is φ = 80196578880.

The previous prime is 103100182027. The next prime is 103100182037. The reversal of 103100182031 is 130281001301.

It is not a de Polignac number, because 103100182031 - 22 = 103100182027 is a prime.

It is a super-2 number, since 2×1031001820312 (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 = 103100181994 and 103100182012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100182037) 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 15 ways as a sum of consecutive naturals, for example, 1132781 + ... + 1220406.

It is an arithmetic number, because the mean of its divisors is an integer number (8047902960).

Almost surely, 2103100182031 is an apocalyptic number.

103100182031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103100182031 is a deficient number, since it is larger than the sum of its proper divisors (25666265329).

103100182031 is a wasteful number, since it uses less digits than its factorization.

103100182031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353774.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 103100182031 its reverse (130281001301), we get a palindrome (233381183332).

The spelling of 103100182031 in words is "one hundred three billion, one hundred million, one hundred eighty-two thousand, thirty-one".

Divisors: 1 7 11 77 569 3983 6259 43813 2353187 16472309 25885057 181195399 1338963403 9372743821 14728597433 103100182031