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1310726431 = 72223119953
BaseRepresentation
bin100111000100000…
…0001100100011111
310101100100210122101
41032020001210133
510141021221211
6334021225531
744323663600
oct11610014437
93340323571
101310726431
11612964193
12306b622a7
1317b722391
14c6113da7
157a10d5c1
hex4e20191f

1310726431 has 12 divisors (see below), whose sum is σ = 1531572672. Its totient is φ = 1118432448.

The previous prime is 1310726413. The next prime is 1310726447. The reversal of 1310726431 is 1346270131.

It is not a de Polignac number, because 1310726431 - 29 = 1310725919 is a prime.

It is a super-2 number, since 2×13107264312 = 3436007553843995522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1310726431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310126431) 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 11 ways as a sum of consecutive naturals, for example, 49050 + ... + 70903.

It is an arithmetic number, because the mean of its divisors is an integer number (127631056).

Almost surely, 21310726431 is an apocalyptic number.

1310726431 is a deficient number, since it is larger than the sum of its proper divisors (220846241).

1310726431 is a wasteful number, since it uses less digits than its factorization.

1310726431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120190 (or 120183 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1310726431 is about 36203.9560131210. The cubic root of 1310726431 is about 1094.3863957229.

Adding to 1310726431 its reverse (1346270131), we get a palindrome (2656996562).

The spelling of 1310726431 in words is "one billion, three hundred ten million, seven hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 7 49 223 1561 10927 119953 839671 5877697 26749519 187246633 1310726431