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100415225 = 5237108557
BaseRepresentation
bin1011111110000…
…11011011111001
320222221121210102
411333003123321
5201201241400
613544125145
72326341521
oct577033371
9228847712
10100415225
1151755499
12297667b5
1317a5a7c1
14d49c681
158c379d5
hex5fc36f9

100415225 has 12 divisors (see below), whose sum is σ = 127881324. Its totient is φ = 78160320.

The previous prime is 100415221. The next prime is 100415233. The reversal of 100415225 is 522514001.

It can be written as a sum of positive squares in 6 ways, for example, as 355216 + 100060009 = 596^2 + 10003^2 .

It is not a de Polignac number, because 100415225 - 22 = 100415221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100415197 and 100415206.

It is not an unprimeable number, because it can be changed into a prime (100415221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53354 + ... + 55203.

It is an arithmetic number, because the mean of its divisors is an integer number (10656777).

Almost surely, 2100415225 is an apocalyptic number.

It is an amenable number.

100415225 is a deficient number, since it is larger than the sum of its proper divisors (27466099).

100415225 is a wasteful number, since it uses less digits than its factorization.

100415225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108604 (or 108599 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 100415225 is about 10020.7397431527. The cubic root of 100415225 is about 464.8004307983.

Adding to 100415225 its reverse (522514001), we get a palindrome (622929226).

The spelling of 100415225 in words is "one hundred million, four hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 925 108557 542785 2713925 4016609 20083045 100415225