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100320252 = 22316695009
BaseRepresentation
bin1011111101011…
…00001111111100
320222202210111220
411332230033330
5201140222002
613542113340
72325464604
oct576541774
9228683456
10100320252
11516a00aa
122971b850
1317a264c6
14d475c04
158c197bc
hex5fac3fc

100320252 has 24 divisors (see below), whose sum is σ = 234267600. Its totient is φ = 33413376.

The previous prime is 100320211. The next prime is 100320257. The reversal of 100320252 is 252023001.

It is a super-2 number, since 2×1003202522 = 20128305922687008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17524 + ... + 22532.

It is an arithmetic number, because the mean of its divisors is an integer number (9761150).

Almost surely, 2100320252 is an apocalyptic number.

100320252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100320252 is an abundant number, since it is smaller than the sum of its proper divisors (133947348).

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

100320252 is a wasteful number, since it uses less digits than its factorization.

100320252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100320252 is about 10015.9998003195. Note that the first 3 decimals coincide. The cubic root of 100320252 is about 464.6538480610.

Adding to 100320252 its reverse (252023001), we get a palindrome (352343253).

The spelling of 100320252 in words is "one hundred million, three hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 1669 3338 5007 5009 6676 10014 10018 15027 20028 20036 30054 60108 8360021 16720042 25080063 33440084 50160126 100320252