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1331256747601 = 1121048912
BaseRepresentation
bin10011010111110101000…
…101011110011001010001
311201021012120102202012201
4103113311011132121101
5133302403211410401
62455323152123201
7165115532435404
oct23276505363121
94637176382181
101331256747601
11473645801300
1219600b236501
13986c9962471
144860c895d3b
1524968048b01
hex135f515e651

1331256747601 has 9 divisors (see below), whose sum is σ = 1463296160809. Its totient is φ = 1210221868900.

The previous prime is 1331256747553. The next prime is 1331256747607. The reversal of 1331256747601 is 1067476521331.

It is a happy number.

The square root of 1331256747601 is 1153801.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-1331256747601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331256747607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12639366 + ... + 12744256.

Almost surely, 21331256747601 is an apocalyptic number.

1331256747601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1331256747601 is the 1153801-st square number.

1331256747601 is the 576901-st centered octagonal number.

It is an amenable number.

1331256747601 is a deficient number, since it is larger than the sum of its proper divisors (132039413208).

1331256747601 is an frugal number, since it uses more digits than its factorization.

1331256747601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209804 (or 104902 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 1331256747601 in words is "one trillion, three hundred thirty-one billion, two hundred fifty-six million, seven hundred forty-seven thousand, six hundred one".

Divisors: 1 11 121 104891 1153801 12691811 11002121881 121023340691 1331256747601