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2120364513 = 33372418807
BaseRepresentation
bin111111001100010…
…0011000111100001
312110202211200022000
41332120203013201
513320303131023
6550222434213
7103354541511
oct17630430741
95422750260
102120364513
11998988273
124b2132969
1327a39b177
1416186b841
15c623b243
hex7e6231e1

2120364513 has 32 divisors (see below), whose sum is σ = 3239934720. Its totient is φ = 1369509120.

The previous prime is 2120364511. The next prime is 2120364553. The reversal of 2120364513 is 3154630212.

2120364513 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 3 + 645 + 13 = 666.

2120364513 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2120364513 - 21 = 2120364511 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2120364511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236356 + ... + 245162.

It is an arithmetic number, because the mean of its divisors is an integer number (101247960).

Almost surely, 22120364513 is an apocalyptic number.

It is an amenable number.

2120364513 is a deficient number, since it is larger than the sum of its proper divisors (1119570207).

2120364513 is a wasteful number, since it uses less digits than its factorization.

2120364513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9094 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2120364513 is about 46047.4159209830. The cubic root of 2120364513 is about 1284.7052800559.

Adding to 2120364513 its reverse (3154630212), we get a palindrome (5274994725).

The spelling of 2120364513 in words is "two billion, one hundred twenty million, three hundred sixty-four thousand, five hundred thirteen".

Divisors: 1 3 9 27 37 111 241 333 723 999 2169 6507 8807 8917 26421 26751 79263 80253 237789 240759 325859 977577 2122487 2932731 6367461 8798193 19102383 57307149 78532019 235596057 706788171 2120364513