Search a number
-
+
100921295696 = 2413485198537
BaseRepresentation
bin101110111111101100…
…0001100001101010000
3100122111101020000100112
41131333120030031100
53123141322430241
6114210153340452
710201631600534
oct1357730141520
9318441200315
10100921295696
1139889493201
1217686407728
139694651220
144c55561bc4
15295a0711eb
hex177f60c350

100921295696 has 20 divisors (see below), whose sum is σ = 210576165492. Its totient is φ = 46579059456.

The previous prime is 100921295681. The next prime is 100921295747. The reversal of 100921295696 is 696592129001.

It can be written as a sum of positive squares in 2 ways, for example, as 20288014096 + 80633281600 = 142436^2 + 283960^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 242599061 + ... + 242599476.

Almost surely, 2100921295696 is an apocalyptic number.

100921295696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100921295696 is an abundant number, since it is smaller than the sum of its proper divisors (109654869796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100921295696 is a wasteful number, since it uses less digits than its factorization.

100921295696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485198558 (or 485198552 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 50.

The spelling of 100921295696 in words is "one hundred billion, nine hundred twenty-one million, two hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 485198537 970397074 1940794148 3881588296 6307580981 7763176592 12615161962 25230323924 50460647848 100921295696