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3131002300231 = 131931408907183
BaseRepresentation
bin101101100011111110010…
…001111010011101000111
3102002022122221012122111201
4231203332101322131013
5402244243042101411
610354210153243331
7442131104302411
oct55437621723507
912068587178451
103131002300231
11aa793a19a903
12426986403547
131993382688a0
14ab78154b9b1
15566a05903c1
hex2d8fe47a747

3131002300231 has 16 divisors (see below), whose sum is σ = 3663808368640. Its totient is φ = 2649718539360.

The previous prime is 3131002300189. The next prime is 3131002300241. The reversal of 3131002300231 is 1320032001313.

It is a cyclic number.

It is not a de Polignac number, because 3131002300231 - 27 = 3131002300103 is a prime.

It is a super-2 number, since 2×31310023002312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3131002300199 and 3131002300208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131002300241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204445935 + ... + 204461248.

It is an arithmetic number, because the mean of its divisors is an integer number (228988023040).

Almost surely, 23131002300231 is an apocalyptic number.

3131002300231 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3131002300231 is a deficient number, since it is larger than the sum of its proper divisors (532806068409).

3131002300231 is a wasteful number, since it uses less digits than its factorization.

3131002300231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408907246.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3131002300231 its reverse (1320032001313), we get a palindrome (4451034301544).

The spelling of 3131002300231 in words is "three trillion, one hundred thirty-one billion, two million, three hundred thousand, two hundred thirty-one".

Divisors: 1 13 19 31 247 403 589 7657 408907183 5315793379 7769236477 12676122673 101000074201 164789594749 240846330787 3131002300231