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1311188431 = 73128121503
BaseRepresentation
bin100111000100111…
…0010010111001111
310101101020021101111
41032021302113033
510141131012211
6334035152451
744330626540
oct11611622717
93341207344
101311188431
1161314a303
12307145727
1317b854757
14c61d44c7
157a1a0421
hex4e2725cf

1311188431 has 16 divisors (see below), whose sum is σ = 1552416768. Its totient is φ = 1083700800.

The previous prime is 1311188413. The next prime is 1311188443. The reversal of 1311188431 is 1348811131.

It is a happy number.

It is not a de Polignac number, because 1311188431 - 29 = 1311187919 is a prime.

It is a super-2 number, since 2×13111884312 = 3438430203176483522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1311188393 and 1311188402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311188401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50226 + ... + 71728.

It is an arithmetic number, because the mean of its divisors is an integer number (97026048).

Almost surely, 21311188431 is an apocalyptic number.

1311188431 is a deficient number, since it is larger than the sum of its proper divisors (241228337).

1311188431 is a wasteful number, since it uses less digits than its factorization.

1311188431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21822.

The product of its digits is 2304, while the sum is 31.

The square root of 1311188431 is about 36210.3359691677. The cubic root of 1311188431 is about 1094.5149623736.

Adding to 1311188431 its reverse (1348811131), we get a palindrome (2659999562).

The spelling of 1311188431 in words is "one billion, three hundred eleven million, one hundred eighty-eight thousand, four hundred thirty-one".

Divisors: 1 7 31 217 281 1967 8711 21503 60977 150521 666593 4666151 6042343 42296401 187312633 1311188431