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13113282467313 = 337244322374217
BaseRepresentation
bin1011111011010010110010…
…0010110001010111110001
31201102121200012110010022000
42332310230202301113301
53204322000302423223
643520054145004213
72522255235602400
oct276645442612761
951377605403260
1013113282467313
1141a63480aa106
121579537923669
13741767239272
1433498713d637
1517b18ea1c543
hexbed2c8b15f1

13113282467313 has 48 divisors (see below), whose sum is σ = 22649868365760. Its totient is φ = 7476389024832.

The previous prime is 13113282467269. The next prime is 13113282467323. The reversal of 13113282467313 is 31376428231131.

13113282467313 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 328 + 2 + 4 + 6 + 7 + 313 = 666.

It is not a de Polignac number, because 13113282467313 - 224 = 13113265690097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13113282467323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10601020 + ... + 11773197.

It is an arithmetic number, because the mean of its divisors is an integer number (471872257620).

Almost surely, 213113282467313 is an apocalyptic number.

It is an amenable number.

13113282467313 is a deficient number, since it is larger than the sum of its proper divisors (9536585898447).

13113282467313 is a wasteful number, since it uses less digits than its factorization.

13113282467313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22374683 (or 22374670 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 13113282467313 in words is "thirteen trillion, one hundred thirteen billion, two hundred eighty-two million, four hundred sixty-seven thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 443 1323 1329 3101 3987 9303 11961 21707 27909 65121 83727 195363 586089 22374217 67122651 156619519 201367953 469858557 604103859 1096336633 1409575671 3289009899 4228727013 9867029697 9911778131 29601089091 29735334393 69382446917 89206003179 208147340751 267618009537 485677128419 624442022253 1457031385257 1873326066759 4371094155771 13113282467313