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10199990025 = 325267332
BaseRepresentation
bin10010111111111011…
…10111111100001001
3222022212002011212100
421133331313330021
5131342144140100
64404045104013
7510523325151
oct113775677411
928285064770
1010199990025
1143646a0525
121b87b58009
13c67270074
146ca941761
153ea714400
hex25ff77f09

10199990025 has 27 divisors (see below), whose sum is σ = 18272029269. Its totient is φ = 5439186720.

The previous prime is 10199989993. The next prime is 10199990029. The reversal of 10199990025 is 52009999101.

The square root of 10199990025 is 100995.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2973629961 + 7226360064 = 54531^2 + 85008^2 .

It is not a de Polignac number, because 10199990025 - 25 = 10199989993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10199990029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1511559 + ... + 1518291.

Almost surely, 210199990025 is an apocalyptic number.

10199990025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10199990025 is the 100995-th square number.

10199990025 is the 50498-th centered octagonal number.

It is an amenable number.

10199990025 is a deficient number, since it is larger than the sum of its proper divisors (8072039244).

10199990025 is an frugal number, since it uses more digits than its factorization.

10199990025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13482 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The spelling of 10199990025 in words is "ten billion, one hundred ninety-nine million, nine hundred ninety thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6733 20199 33665 60597 100995 168325 302985 504975 1514925 45333289 135999867 226666445 407999601 679999335 1133332225 2039998005 3399996675 10199990025