Search a number
-
+
120120102 = 23231613529
BaseRepresentation
bin1110010100011…
…10001100100110
322101000201210200
413022032030212
5221222320402
615530331330
72656001244
oct712161446
9271021720
10120120102
1161894013
1234289b46
131bb697ab
1411d4b794
15a82b21c
hex728e326

120120102 has 48 divisors (see below), whose sum is σ = 273137280. Its totient is φ = 38102400.

The previous prime is 120120097. The next prime is 120120127. The reversal of 120120102 is 201021021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32274 + ... + 35802.

It is an arithmetic number, because the mean of its divisors is an integer number (5690360).

Almost surely, 2120120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136568640).

120120102 is an abundant number, since it is smaller than the sum of its proper divisors (153017178).

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

120120102 is a wasteful number, since it uses less digits than its factorization.

120120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120120102 is about 10959.9316603709. The cubic root of 120120102 is about 493.4069138890.

Adding to 120120102 its reverse (201021021), we get a palindrome (321141123).

The spelling of 120120102 in words is "one hundred twenty million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3529 3782 5673 7058 10587 11346 17019 21174 31761 34038 63522 109399 215269 218798 328197 430538 645807 656394 984591 1291614 1937421 1969182 3874842 6673339 13346678 20020017 40040034 60060051 120120102