Search a number
-
+
100123332131 = 4111321610907
BaseRepresentation
bin101110100111111010…
…0001100111000100011
3100120102202201021010102
41131033310030320203
53120023033112011
6113555050253015
710143102165254
oct1351764147043
9316382637112
10100123332131
113950a013389
12174a312716b
139598232234
144bbb5a6b2b
15290ee9c73b
hex174fd0ce23

100123332131 has 8 divisors (see below), whose sum is σ = 103473027504. Its totient is φ = 96816858880.

The previous prime is 100123332103. The next prime is 100123332149. The reversal of 100123332131 is 131233321001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100123332131 is a prime.

It is a super-2 number, since 2×1001233321312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100123332191) 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, 10800821 + ... + 10810086.

It is an arithmetic number, because the mean of its divisors is an integer number (12934128438).

Almost surely, 2100123332131 is an apocalyptic number.

100123332131 is a deficient number, since it is larger than the sum of its proper divisors (3349695373).

100123332131 is a wasteful number, since it uses less digits than its factorization.

100123332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21611061.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 100123332131 its reverse (131233321001), we get a palindrome (231356653132).

The spelling of 100123332131 in words is "one hundred billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 41 113 4633 21610907 886047187 2442032491 100123332131