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100332025 = 5229138389
BaseRepresentation
bin1011111101011…
…11000111111001
320222210101122221
411332233013321
5201141111100
613542244041
72325544123
oct576570771
9228711587
10100332025
11516a8a32
1229726621
1317a2b981
14d47a213
158c1d01a
hex5faf1f9

100332025 has 12 divisors (see below), whose sum is σ = 128702700. Its totient is φ = 77497280.

The previous prime is 100331971. The next prime is 100332041. The reversal of 100332025 is 520233001.

It can be written as a sum of positive squares in 6 ways, for example, as 16224784 + 84107241 = 4028^2 + 9171^2 .

It is not a de Polignac number, because 100332025 - 217 = 100200953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68470 + ... + 69919.

It is an arithmetic number, because the mean of its divisors is an integer number (10725225).

Almost surely, 2100332025 is an apocalyptic number.

It is an amenable number.

100332025 is a deficient number, since it is larger than the sum of its proper divisors (28370675).

100332025 is a wasteful number, since it uses less digits than its factorization.

100332025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138428 (or 138423 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 100332025 is about 10016.5874927542. The cubic root of 100332025 is about 464.6720237057.

Adding to 100332025 its reverse (520233001), we get a palindrome (620565026).

The spelling of 100332025 in words is "one hundred million, three hundred thirty-two thousand, twenty-five".

Divisors: 1 5 25 29 145 725 138389 691945 3459725 4013281 20066405 100332025