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13114124421021 = 3213193580759241
BaseRepresentation
bin1011111011010101111010…
…1110100100011110011101
31201102200211212201210122200
42332311132232210132131
53204330211322433041
643520313503002113
72522315141232051
oct276653656443635
951380755653580
1013114124421021
1141a673a395418
121579731899339
1374186c7bb020
14334a26ca9c61
1517b1dd8d01b6
hexbed5eba479d

13114124421021 has 24 divisors (see below), whose sum is σ = 20505447316536. Its totient is φ = 8028415733760.

The previous prime is 13114124421017. The next prime is 13114124421061. The reversal of 13114124421021 is 12012442141131.

13114124421021 is a `hidden beast` number, since 1 + 3 + 11 + 412 + 4 + 4 + 210 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1555722365796 + 11558402055225 = 1247286^2 + 3399765^2 .

It is not a de Polignac number, because 13114124421021 - 22 = 13114124421017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114124421011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290357040 + ... + 290402201.

It is an arithmetic number, because the mean of its divisors is an integer number (854393638189).

Almost surely, 213114124421021 is an apocalyptic number.

It is an amenable number.

13114124421021 is a deficient number, since it is larger than the sum of its proper divisors (7391322895515).

13114124421021 is a wasteful number, since it uses less digits than its factorization.

13114124421021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580759453 (or 580759450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 13114124421021 its reverse (12012442141131), we get a palindrome (25126566562152).

The spelling of 13114124421021 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-four million, four hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 13 39 117 193 579 1737 2509 7527 22581 580759241 1742277723 5226833169 7549870133 22649610399 67948831197 112086533513 336259600539 1008778801617 1457124935669 4371374807007 13114124421021