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120113442 = 2351012447
BaseRepresentation
bin1110010100011…
…00100100100010
322101000101200000
413022030210202
5221222112232
615530240430
72655642651
oct712144442
9271011600
10120113442
116188a009
1234286116
131bb66757
1411d49198
15a82927c
hex728c922

120113442 has 48 divisors (see below), whose sum is σ = 272668032. Its totient is φ = 39625200.

The previous prime is 120113419. The next prime is 120113467. The reversal of 120113442 is 244311021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47863 + ... + 50309.

It is an arithmetic number, because the mean of its divisors is an integer number (5680584).

Almost surely, 2120113442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120113442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136334016).

120113442 is an abundant number, since it is smaller than the sum of its proper divisors (152554590).

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

120113442 is a wasteful number, since it uses less digits than its factorization.

120113442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120113442 is about 10959.6278221480. The cubic root of 120113442 is about 493.3977948192.

Adding to 120113442 its reverse (244311021), we get a palindrome (364424463).

The spelling of 120113442 in words is "one hundred twenty million, one hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 2447 2727 4894 5454 7341 8181 14682 16362 22023 24543 44046 49086 66069 132138 198207 247147 396414 494294 594621 741441 1189242 1482882 2224323 4448646 6672969 13345938 20018907 40037814 60056721 120113442