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1133120013 = 36713741149
BaseRepresentation
bin100001110001010…
…0000101000001101
32220222011110102220
41003202200220031
54310034320023
6304234405553
740036234614
oct10342405015
92828143386
101133120013
11531686923
122775908b9
131509a8b1c
14aa6c087b
15697293e3
hex438a0a0d

1133120013 has 16 divisors (see below), whose sum is σ = 1544606400. Its totient is φ = 738688896.

The previous prime is 1133120003. The next prime is 1133120033. The reversal of 1133120013 is 3100213311.

It is a de Polignac number, because none of the positive numbers 2k-1133120013 is a prime.

It is a super-2 number, since 2×11331200132 = 2567921927722240338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1133119974 and 1133120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133120003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6963 + ... + 48111.

It is an arithmetic number, because the mean of its divisors is an integer number (96537900).

Almost surely, 21133120013 is an apocalyptic number.

It is an amenable number.

1133120013 is a deficient number, since it is larger than the sum of its proper divisors (411486387).

1133120013 is a wasteful number, since it uses less digits than its factorization.

1133120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41356.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1133120013 is about 33661.8480330477. The cubic root of 1133120013 is about 1042.5381830755.

Adding to 1133120013 its reverse (3100213311), we get a palindrome (4233333324).

The spelling of 1133120013 in words is "one billion, one hundred thirty-three million, one hundred twenty thousand, thirteen".

Divisors: 1 3 67 137 201 411 9179 27537 41149 123447 2756983 5637413 8270949 16912239 377706671 1133120013