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101310232031317 is a prime number
BaseRepresentation
bin10111000010010000100000…
…011001000111000001010101
3111021201011102021001000202201
4113002100200121013001111
5101234331323400000232
6555245140022204501
730224264664512011
oct2702204031070125
9437634367030681
10101310232031317
112a30a4789139a1
12b442727883731
13446b68b01b58a
141b0362727d541
15baa4a1b37be7
hex5c2420647055

101310232031317 has 2 divisors, whose sum is σ = 101310232031318. Its totient is φ = 101310232031316.

The previous prime is 101310232031293. The next prime is 101310232031383. The reversal of 101310232031317 is 713130232013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62430841939761 + 38879390091556 = 7901319^2 + 6235334^2 .

It is a cyclic number.

It is not a de Polignac number, because 101310232031317 - 27 = 101310232031189 is a prime.

It is a super-2 number, since 2×1013102320313172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101310232031017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50655116015658 + 50655116015659.

It is an arithmetic number, because the mean of its divisors is an integer number (50655116015659).

Almost surely, 2101310232031317 is an apocalyptic number.

It is an amenable number.

101310232031317 is a deficient number, since it is larger than the sum of its proper divisors (1).

101310232031317 is an equidigital number, since it uses as much as digits as its factorization.

101310232031317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 101310232031317 its reverse (713130232013101), we get a palindrome (814440464044418).

The spelling of 101310232031317 in words is "one hundred one trillion, three hundred ten billion, two hundred thirty-two million, thirty-one thousand, three hundred seventeen".