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100122320 = 2451251529
BaseRepresentation
bin1011111011110…
…11111011010000
320222101202000002
411331323323100
5201112403240
613533545132
72324011544
oct575737320
9228352002
10100122320
1151575421
12296451a8
131798739c
14d423a24
158bcad15
hex5f7bed0

100122320 has 20 divisors (see below), whose sum is σ = 232784580. Its totient is φ = 40048896.

The previous prime is 100122313. The next prime is 100122349. The reversal of 100122320 is 23221001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15335056 + 84787264 = 3916^2 + 9208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625685 + ... + 625844.

It is an arithmetic number, because the mean of its divisors is an integer number (11639229).

Almost surely, 2100122320 is an apocalyptic number.

100122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122320 is an abundant number, since it is smaller than the sum of its proper divisors (132662260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100122320 is a wasteful number, since it uses less digits than its factorization.

100122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251542 (or 1251536 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100122320 is about 10006.1141308702. The cubic root of 100122320 is about 464.3480592976.

Adding to 100122320 its reverse (23221001), we get a palindrome (123343321).

The spelling of 100122320 in words is "one hundred million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1251529 2503058 5006116 6257645 10012232 12515290 20024464 25030580 50061160 100122320