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120457113316 = 221717319751977
BaseRepresentation
bin111000000101111001…
…1011010111011100100
3102111220212022101002021
41300023303122323210
53433144010111231
6131200501552524
711463016366201
oct1601363327344
9374825271067
10120457113316
11470a399a121
121b418a15744
13b488b04a17
145b89d36ca8
15320019b811
hex1c0bcdaee4

120457113316 has 48 divisors (see below), whose sum is σ = 225634003056. Its totient is φ = 56070877184.

The previous prime is 120457113307. The next prime is 120457113317. The reversal of 120457113316 is 613311754021.

It can be written as a sum of positive squares in 8 ways, for example, as 68429328100 + 52027785216 = 261590^2 + 228096^2 .

It is a super-2 number, since 2×1204571133162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (120457113317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2291520 + ... + 2343496.

It is an arithmetic number, because the mean of its divisors is an integer number (4700708397).

Almost surely, 2120457113316 is an apocalyptic number.

It is an amenable number.

120457113316 is a deficient number, since it is larger than the sum of its proper divisors (105176889740).

120457113316 is a wasteful number, since it uses less digits than its factorization.

120457113316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52368 (or 52366 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

Adding to 120457113316 its reverse (613311754021), we get a palindrome (733768867337).

The spelling of 120457113316 in words is "one hundred twenty billion, four hundred fifty-seven million, one hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 4 17 34 68 173 197 346 394 692 788 2941 3349 5882 6698 11764 13396 34081 51977 68162 103954 136324 207908 579377 883609 1158754 1767218 2317508 3534436 8992021 10239469 17984042 20478938 35968084 40957876 152864357 174070973 305728714 348141946 611457428 696283892 1771428137 3542856274 7085712548 30114278329 60228556658 120457113316