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120113032 = 23132731217
BaseRepresentation
bin1110010100011…
…00011110001000
322101000101002211
413022030132020
5221222104112
615530234504
72655641524
oct712143610
9271011084
10120113032
1161889776
1234285a34
131bb66500
1411d48d84
15a8290a7
hex728c788

120113032 has 48 divisors (see below), whose sum is σ = 247412340. Its totient is φ = 54632448.

The previous prime is 120113029. The next prime is 120113033. The reversal of 120113032 is 230311021.

It can be written as a sum of positive squares in 6 ways, for example, as 13734436 + 106378596 = 3706^2 + 10314^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120113033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98088 + ... + 99304.

Almost surely, 2120113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123706170).

120113032 is an abundant number, since it is smaller than the sum of its proper divisors (127299308).

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

120113032 is a wasteful number, since it uses less digits than its factorization.

120113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 120113032 is about 10959.6091171173. The cubic root of 120113032 is about 493.3972334240.

Adding to 120113032 its reverse (230311021), we get a palindrome (350424053).

The spelling of 120113032 in words is "one hundred twenty million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 169 292 338 584 676 949 1217 1352 1898 2434 3796 4868 7592 9736 12337 15821 24674 31642 49348 63284 88841 98696 126568 177682 205673 355364 411346 710728 822692 1154933 1645384 2309866 4619732 9239464 15014129 30028258 60056516 120113032