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13151334244005 = 3251132586299753
BaseRepresentation
bin1011111101100000100010…
…0110110001111010100101
31201120020220002120122211200
42333120020212301322211
53210432413031302010
643545350050353113
72525103215426016
oct277301046617245
951506802518750
1013151334244005
1142104a4365141
12158499728b799
1374521c7a2469
14336756a8d00d
1517c16a46ccc0
hexbf6089b1ea5

13151334244005 has 24 divisors (see below), whose sum is σ = 22997377412568. Its totient is φ = 6951973733376.

The previous prime is 13151334243977. The next prime is 13151334244031. The reversal of 13151334244005 is 50044243315131.

13151334244005 is a `hidden beast` number, since 1 + 31 + 51 + 334 + 244 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 840225223044 + 12311109020961 = 916638^2 + 3508719^2 .

It is not a de Polignac number, because 13151334244005 - 26 = 13151334243941 is a prime.

It is a super-3 number, since 3×131513342440053 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1293144792 + ... + 1293154961.

It is an arithmetic number, because the mean of its divisors is an integer number (958224058857).

Almost surely, 213151334244005 is an apocalyptic number.

13151334244005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13151334244005 is a deficient number, since it is larger than the sum of its proper divisors (9846043168563).

13151334244005 is a wasteful number, since it uses less digits than its factorization.

13151334244005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586299877 (or 2586299874 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13151334244005 its reverse (50044243315131), we get a palindrome (63195577559136).

The spelling of 13151334244005 in words is "thirteen trillion, one hundred fifty-one billion, three hundred thirty-four million, two hundred forty-four thousand, five".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 5085 2586299753 7758899259 12931498765 23276697777 38794496295 116383488885 292251872089 876755616267 1461259360445 2630266848801 4383778081335 13151334244005