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31385244258313 = 1122695091894393
BaseRepresentation
bin1110010001011011100100…
…10101011101000000001001
311010010101210122011012200121
413020231302111131000021
513103203440012231223
6150430103203103241
76416336416326211
oct710556225350011
9133111718135617
1031385244258313
11a000453199200
12362a806971b21
131468800cac20a
147a70a7d95241
153966077c215d
hex1c8b7255d009

31385244258313 has 24 divisors (see below), whose sum is σ = 34694121155400. Its totient is φ = 28370111489280.

The previous prime is 31385244258299. The next prime is 31385244258331.

31385244258313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 32994179449 + 31352250078864 = 181643^2 + 5599308^2 .

It is not a de Polignac number, because 31385244258313 - 213 = 31385244250121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31385244258343) 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, 15620245 + ... + 17514637.

It is an arithmetic number, because the mean of its divisors is an integer number (1445588381475).

Almost surely, 231385244258313 is an apocalyptic number.

It is an amenable number.

31385244258313 is a deficient number, since it is larger than the sum of its proper divisors (3308876897087).

31385244258313 is a wasteful number, since it uses less digits than its factorization.

31385244258313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895193 (or 1895182 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 31385244258313 in words is "thirty-one trillion, three hundred eighty-five billion, two hundred forty-four million, two hundred fifty-eight thousand, three hundred thirteen".

Divisors: 1 11 121 269 509 2959 5599 32549 61589 136921 1506131 1894393 16567441 20838323 229221553 509591717 964246037 5605508887 10606706407 61660597757 116673770477 259382183953 2853204023483 31385244258313