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1005254043313 = 13253636717627
BaseRepresentation
bin11101010000011011100…
…11110110011010110001
310120002201212211110221211
432220031303312122301
5112432230013341223
62045450214520121
7132425063245402
oct16501563663261
93502655743854
101005254043313
11358364778453
121429a9666041
1373a44954300
14369241579a9
151b237b4ed0d
hexea0dcf66b1

1005254043313 has 24 divisors (see below), whose sum is σ = 1109304937728. Its totient is φ = 910224124992.

The previous prime is 1005254043293. The next prime is 1005254043371. The reversal of 1005254043313 is 3133404525001.

It is a de Polignac number, because none of the positive numbers 2k-1005254043313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005254043383) 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, 57020406 + ... + 57038032.

It is an arithmetic number, because the mean of its divisors is an integer number (46221039072).

Almost surely, 21005254043313 is an apocalyptic number.

1005254043313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005254043313 is a deficient number, since it is larger than the sum of its proper divisors (104050894415).

1005254043313 is a wasteful number, since it uses less digits than its factorization.

1005254043313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24073 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1005254043313 its reverse (3133404525001), we get a palindrome (4138658568314).

The spelling of 1005254043313 in words is "one trillion, five billion, two hundred fifty-four million, forty-three thousand, three hundred thirteen".

Divisors: 1 13 53 169 689 6367 8957 17627 82771 229151 337451 934231 1076023 2978963 4386863 12145003 57029219 112231109 157885039 1459004417 5948248777 18967057421 77327234101 1005254043313