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100400225 = 524785447
BaseRepresentation
bin1011111101111…
…11110001100001
320222220212012212
411332333301201
5201200301400
613543531505
72326250012
oct576776141
9228825185
10100400225
11517451a2
1229759b95
1317a53a23
14d497009
158c33335
hex5fbfc61

100400225 has 12 divisors (see below), whose sum is σ = 127146624. Its totient is φ = 78610320.

The previous prime is 100400207. The next prime is 100400257. The reversal of 100400225 is 522004001.

It is a de Polignac number, because none of the positive numbers 2k-100400225 is a prime.

It is a Duffinian number.

It is a congruent 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, 41549 + ... + 43898.

It is an arithmetic number, because the mean of its divisors is an integer number (10595552).

Almost surely, 2100400225 is an apocalyptic number.

It is an amenable number.

100400225 is a deficient number, since it is larger than the sum of its proper divisors (26746399).

100400225 is an equidigital number, since it uses as much as digits as its factorization.

100400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85504 (or 85499 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 100400225 is about 10019.9912674613. The cubic root of 100400225 is about 464.7772857236. Note that the first 3 decimals are identical.

Adding to 100400225 its reverse (522004001), we get a palindrome (622404226).

The spelling of 100400225 in words is "one hundred million, four hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 85447 427235 2136175 4016009 20080045 100400225