Search a number
-
+
100087648225 = 529741273257
BaseRepresentation
bin101110100110110110…
…0000100111111100001
3100120100021120100000021
41131031230010333201
53114434414220400
6113551333353441
710142156654455
oct1351554047741
9316307510007
10100087648225
11394a0960554
1217493198881
139590a1a0b6
144bb6958665
15290bc9e71a
hex174db04fe1

100087648225 has 12 divisors (see below), whose sum is σ = 125388157804. Its totient is φ = 79244651520.

The previous prime is 100087648169. The next prime is 100087648253. The reversal of 100087648225 is 522846780001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3356695969 + 96730952256 = 57937^2 + 311016^2 .

It is not a de Polignac number, because 100087648225 - 27 = 100087648097 is a prime.

It is a super-2 number, since 2×1000876482252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20634204 + ... + 20639053.

Almost surely, 2100087648225 is an apocalyptic number.

It is an amenable number.

100087648225 is a deficient number, since it is larger than the sum of its proper divisors (25300509579).

100087648225 is an equidigital number, since it uses as much as digits as its factorization.

100087648225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41273364 (or 41273359 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 100087648225 in words is "one hundred billion, eighty-seven million, six hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 97 485 2425 41273257 206366285 1031831425 4003505929 20017529645 100087648225