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10311030031300 = 2252293555527597
BaseRepresentation
bin1001011000001011100101…
…0010000100001111000100
31100111201120102002221000021
42112002321102010033010
52322413442142000200
633532453302024524
72112642636111415
oct226027122041704
940451512087007
1010311030031300
113315979710069
1211a641b118144
1359a431197a6b
142790b111b80c
1512d330b2441a
hex960b94843c4

10311030031300 has 36 divisors (see below), whose sum is σ = 23146484662980. Its totient is φ = 3982190907520.

The previous prime is 10311030031297. The next prime is 10311030031303. The reversal of 10311030031300 is 313003011301.

It is an interprime number because it is at equal distance from previous prime (10311030031297) and next prime (10311030031303).

It can be written as a sum of positive squares in 6 ways, for example, as 53627443776 + 10257402587524 = 231576^2 + 3202718^2 .

It is not an unprimeable number, because it can be changed into a prime (10311030031303) 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 in 11 ways as a sum of consecutive naturals, for example, 1777760899 + ... + 1777766698.

It is an arithmetic number, because the mean of its divisors is an integer number (642957907305).

Almost surely, 210311030031300 is an apocalyptic number.

10311030031300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311030031300 is an abundant number, since it is smaller than the sum of its proper divisors (12835454631680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10311030031300 is a wasteful number, since it uses less digits than its factorization.

10311030031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555527640 (or 3555527633 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10311030031300 its reverse (313003011301), we get a palindrome (10624033042601).

The spelling of 10311030031300 in words is "ten trillion, three hundred eleven billion, thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3555527597 7111055194 14222110388 17777637985 35555275970 71110551940 88888189925 103110300313 177776379850 206220600626 355552759700 412441201252 515551501565 1031103003130 2062206006260 2577757507825 5155515015650 10311030031300