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1311011104 = 25133151469
BaseRepresentation
bin100111000100100…
…0111000100100000
310101100220021010211
41032021013010200
510141104323404
6334031303504
744326260544
oct11611070440
93340807124
101311011104
11613039057
1230707ab94
1317b7c1b20
14c6189a24
157a167b04
hex4e247120

1311011104 has 24 divisors (see below), whose sum is σ = 2779596540. Its totient is φ = 605081856.

The previous prime is 1311011101. The next prime is 1311011113. The reversal of 1311011104 is 4011101131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1200761104 + 110250000 = 34652^2 + 10500^2 .

It is a super-2 number, since 2×13110111042 = 3437500229622597632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1311011101) 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 3 ways as a sum of consecutive naturals, for example, 1575319 + ... + 1576150.

Almost surely, 21311011104 is an apocalyptic number.

It is an amenable number.

1311011104 is an abundant number, since it is smaller than the sum of its proper divisors (1468585436).

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

1311011104 is a wasteful number, since it uses less digits than its factorization.

1311011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151492 (or 3151484 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1311011104 is about 36207.8873175445. The cubic root of 1311011104 is about 1094.4656188925.

Adding to 1311011104 its reverse (4011101131), we get a palindrome (5322112235).

The spelling of 1311011104 in words is "one billion, three hundred eleven million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 3151469 6302938 12605876 25211752 40969097 50423504 81938194 100847008 163876388 327752776 655505552 1311011104