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2251336113 = 34132937297
BaseRepresentation
bin1000011000110000…
…1010100110110001
312210220021201120000
42012030022212301
514102320223423
61011221540213
7106535020065
oct20614124661
95726251500
102251336113
11a55903164
12529b74669
1329b566c60
14175001aa5
15d29ac843
hex8630a9b1

2251336113 has 40 divisors (see below), whose sum is σ = 3634666728. Its totient is φ = 1380519936.

The previous prime is 2251336099. The next prime is 2251336141. The reversal of 2251336113 is 3116331522.

2251336113 is a `hidden beast` number, since 2 + 2 + 513 + 36 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327899664 + 1923436449 = 18108^2 + 43857^2 .

It is not a de Polignac number, because 2251336113 - 24 = 2251336097 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 (2251336183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304881 + ... + 312177.

Almost surely, 22251336113 is an apocalyptic number.

It is an amenable number.

2251336113 is a deficient number, since it is larger than the sum of its proper divisors (1383330615).

2251336113 is a wasteful number, since it uses less digits than its factorization.

2251336113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7606 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2251336113 is about 47448.2466799354. The cubic root of 2251336113 is about 1310.6300240495.

Adding to 2251336113 its reverse (3116331522), we get a palindrome (5367667635).

The spelling of 2251336113 in words is "two billion, two hundred fifty-one million, three hundred thirty-six thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 293 351 879 1053 2637 3809 7297 7911 11427 21891 23733 34281 65673 94861 102843 197019 284583 308529 591057 853749 2138021 2561247 6414063 7683741 19242189 27794273 57726567 83382819 173179701 250148457 750445371 2251336113