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1320761431 = 115322310159
BaseRepresentation
bin100111010111001…
…0011100001010111
310102001020122002001
41032232103201113
510201103331211
6335020300131
744505200263
oct11656234127
93361218061
101320761431
11618598680
1230a3a1647
13180826b52
14c75a70a3
157ae41ac1
hex4eb93857

1320761431 has 16 divisors (see below), whose sum is σ = 1474744320. Its totient is φ = 1172639520.

The previous prime is 1320761411. The next prime is 1320761437. The reversal of 1320761431 is 1341670231.

It is a cyclic number.

It is not a de Polignac number, because 1320761431 - 27 = 1320761303 is a prime.

It is a super-2 number, since 2×13207614312 = 3488821515234335522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1320761431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320761437) 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, 124930 + ... + 135088.

It is an arithmetic number, because the mean of its divisors is an integer number (92171520).

Almost surely, 21320761431 is an apocalyptic number.

1320761431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1320761431 is a deficient number, since it is larger than the sum of its proper divisors (153982889).

1320761431 is a wasteful number, since it uses less digits than its factorization.

1320761431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446.

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

The square root of 1320761431 is about 36342.2815877044. The cubic root of 1320761431 is about 1097.1721942731.

The spelling of 1320761431 in words is "one billion, three hundred twenty million, seven hundred sixty-one thousand, four hundred thirty-one".

Divisors: 1 11 53 223 583 2453 10159 11819 111749 130009 538427 2265457 5922697 24920027 120069221 1320761431