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10131023209 is a prime number
BaseRepresentation
bin10010110111101101…
…10010010101101001
3222011001022022011211
421123312302111221
5131222020220314
64353142553121
7506025163546
oct113366622551
928131268154
1010131023209
11432977575a
121b68a387a1
13c55ba38b8
146c170bbcd
153e463e9c4
hex25bdb2569

10131023209 has 2 divisors, whose sum is σ = 10131023210. Its totient is φ = 10131023208.

The previous prime is 10131023191. The next prime is 10131023257. The reversal of 10131023209 is 90232013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8676363609 + 1454659600 = 93147^2 + 38140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131023209 - 27 = 10131023081 is a prime.

It is a super-2 number, since 2×101310232092 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10131023209.

It is not a weakly prime, because it can be changed into another prime (10131003209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065511604 + 5065511605.

It is an arithmetic number, because the mean of its divisors is an integer number (5065511605).

Almost surely, 210131023209 is an apocalyptic number.

It is an amenable number.

10131023209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131023209 is an equidigital number, since it uses as much as digits as its factorization.

10131023209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 10131023209 in words is "ten billion, one hundred thirty-one million, twenty-three thousand, two hundred nine".