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1132444313 = 71113412673
BaseRepresentation
bin100001101111111…
…1011101010011001
32220220220010112222
41003133323222121
54304401204223
6304212113425
740030421630
oct10337735231
92826803488
101132444313
115312651a0
12277305875
131508003c0
14aa586517
15696440c8
hex437fba99

1132444313 has 48 divisors (see below), whose sum is σ = 1560789888. Its totient is φ = 793497600.

The previous prime is 1132444309. The next prime is 1132444337. The reversal of 1132444313 is 3134442311.

It is a happy number.

It is not a de Polignac number, because 1132444313 - 22 = 1132444309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1132444363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682345 + ... + 1683017.

It is an arithmetic number, because the mean of its divisors is an integer number (32516456).

Almost surely, 21132444313 is an apocalyptic number.

1132444313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1132444313 is a deficient number, since it is larger than the sum of its proper divisors (428345575).

1132444313 is a wasteful number, since it uses less digits than its factorization.

1132444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 745 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1132444313 is about 33651.8099513236. The cubic root of 1132444313 is about 1042.3309137328.

Adding to 1132444313 its reverse (3134442311), we get a palindrome (4266886624).

The spelling of 1132444313 in words is "one billion, one hundred thirty-two million, four hundred forty-four thousand, three hundred thirteen".

Divisors: 1 7 11 13 41 77 91 143 287 451 533 673 1001 1681 3157 3731 4711 5863 7403 8749 11767 18491 21853 27593 41041 51821 61243 96239 129437 152971 193151 240383 303523 358709 673673 1131313 1682681 2124661 2510963 3945799 7919191 12444443 14707069 27620593 87111101 102949483 161777759 1132444313