Search a number
-
+
103102131033 = 32111041435667
BaseRepresentation
bin110000000000101011…
…1011010101101011001
3100212010100211221000200
41200001113122231121
53142123121143113
6115210420252413
710306652440206
oct1400127325531
9325110757020
10103102131033
113a7a8513060
1217b94841109
139951402735
144dc1050cad
152a36754873
hex18015dab59

103102131033 has 12 divisors (see below), whose sum is σ = 162463964208. Its totient is φ = 62486139960.

The previous prime is 103102131017. The next prime is 103102131037. The reversal of 103102131033 is 330131201301.

It is a happy number.

103102131033 is a `hidden beast` number, since 10 + 310 + 2 + 1 + 310 + 33 = 666.

It is not a de Polignac number, because 103102131033 - 24 = 103102131017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103102130997 and 103102131015.

It is not an unprimeable number, because it can be changed into a prime (103102131037) 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 11 ways as a sum of consecutive naturals, for example, 520717735 + ... + 520717932.

It is an arithmetic number, because the mean of its divisors is an integer number (13538663684).

Almost surely, 2103102131033 is an apocalyptic number.

It is an amenable number.

103102131033 is a deficient number, since it is larger than the sum of its proper divisors (59361833175).

103102131033 is a wasteful number, since it uses less digits than its factorization.

103102131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041435684 (or 1041435681 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103102131033 its reverse (330131201301), we get a palindrome (433233332334).

The spelling of 103102131033 in words is "one hundred three billion, one hundred two million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 11 33 99 1041435667 3124307001 9372921003 11455792337 34367377011 103102131033