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10231131353 is a prime number
BaseRepresentation
bin10011000011101001…
…01010110011011001
3222102000200022201212
421201310222303121
5131423132200403
64411120352505
7511352116202
oct114164526331
928360608655
1010231131353
114380230463
121b96475735
13c708546a1
146d0b2a5a9
153ed3164d8
hex261d2acd9

10231131353 has 2 divisors, whose sum is σ = 10231131354. Its totient is φ = 10231131352.

The previous prime is 10231131271. The next prime is 10231131373. The reversal of 10231131353 is 35313113201.

10231131353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10056680089 + 174451264 = 100283^2 + 13208^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231131353 - 230 = 9157389529 is a prime.

It is a super-2 number, since 2×102311313532 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10231131373) 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, 5115565676 + 5115565677.

It is an arithmetic number, because the mean of its divisors is an integer number (5115565677).

Almost surely, 210231131353 is an apocalyptic number.

It is an amenable number.

10231131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10231131353 is an equidigital number, since it uses as much as digits as its factorization.

10231131353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 10231131353 its reverse (35313113201), we get a palindrome (45544244554).

The spelling of 10231131353 in words is "ten billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred fifty-three".