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120142110 = 235112231439
BaseRepresentation
bin1110010100100…
…11100100011110
322101001211222210
413022103210132
5221224021420
615531021250
72656122354
oct712234436
9271054883
10120142110
11618a9600
123429a826
131bb7680a
1411d557d4
15a8329e0
hex729391e

120142110 has 96 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 27839680.

The previous prime is 120142109. The next prime is 120142117. The reversal of 120142110 is 11241021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120142117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82771 + ... + 84209.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2120142110 is an apocalyptic number.

120142110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120142110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

120142110 is an abundant number, since it is smaller than the sum of its proper divisors (210804450).

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

120142110 is a wasteful number, since it uses less digits than its factorization.

120142110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 120142110 is about 10960.9356352457. The cubic root of 120142110 is about 493.4370454991.

Adding to 120142110 its reverse (11241021), we get a palindrome (131383131).

The spelling of 120142110 in words is "one hundred twenty million, one hundred forty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 121 138 165 230 242 253 330 345 363 506 605 690 726 759 1210 1265 1439 1518 1815 2530 2783 2878 3630 3795 4317 5566 7195 7590 8349 8634 13915 14390 15829 16698 21585 27830 31658 33097 41745 43170 47487 66194 79145 83490 94974 99291 158290 165485 174119 198582 237435 330970 348238 364067 474870 496455 522357 728134 870595 992910 1044714 1092201 1741190 1820335 2184402 2611785 3640670 4004737 5223570 5461005 8009474 10922010 12014211 20023685 24028422 40047370 60071055 120142110