Search a number
-
+
100441597225 = 5213219303931
BaseRepresentation
bin101110110001011001…
…0010010010100101001
3100121020221120210202111
41131202302102110221
53121201022102400
6114050420002321
710154015326654
oct1354262222451
9317227523674
10100441597225
1139662732692
12175718303a1
139619156888
144c0b97289b
15292cdb83ba
hex1762c92529

100441597225 has 12 divisors (see below), whose sum is σ = 124557412240. Its totient is φ = 80346934800.

The previous prime is 100441597163. The next prime is 100441597247. The reversal of 100441597225 is 522795144001.

It is not a de Polignac number, because 100441597225 - 219 = 100441072937 is a prime.

It is a super-3 number, since 3×1004415972253 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 178510 + ... + 482440.

Almost surely, 2100441597225 is an apocalyptic number.

It is an amenable number.

100441597225 is a deficient number, since it is larger than the sum of its proper divisors (24115815015).

100441597225 is a wasteful number, since it uses less digits than its factorization.

100441597225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317160 (or 317155 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 100441597225 in words is "one hundred billion, four hundred forty-one million, five hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 13219 66095 303931 330475 1519655 7598275 4017663889 20088319445 100441597225