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120020100 = 22352400067
BaseRepresentation
bin1110010011101…
…01110010000100
322100211122121220
413021311302010
5221211120400
615524240340
72655103554
oct711656204
9270748556
10120020100
1161825972
12342400b0
131bb33115
1411d23164
15a80b7a0
hex7275c84

120020100 has 36 divisors (see below), whose sum is σ = 347259024. Its totient is φ = 32005280.

The previous prime is 120020099. The next prime is 120020107. The reversal of 120020100 is 1020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (120020107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199734 + ... + 200333.

It is an arithmetic number, because the mean of its divisors is an integer number (9646084).

Almost surely, 2120020100 is an apocalyptic number.

120020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120020100 is an abundant number, since it is smaller than the sum of its proper divisors (227238924).

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

120020100 is a wasteful number, since it uses less digits than its factorization.

120020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400084 (or 400077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120020100 is about 10955.3685469728. The cubic root of 120020100 is about 493.2699526968.

Adding to 120020100 its reverse (1020021), we get a palindrome (121040121).

The spelling of 120020100 in words is "one hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 400067 800134 1200201 1600268 2000335 2400402 4000670 4800804 6001005 8001340 10001675 12002010 20003350 24004020 30005025 40006700 60010050 120020100