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10140411329 is a prime number
BaseRepresentation
bin10010111000110101…
…00110010111000001
3222011200222021020222
421130122212113001
5131231421130304
64354120112425
7506201034266
oct113432462701
928150867228
1010140411329
114333aa8134
121b70005715
13c57b0cab9
146c2a7326d
153e53964be
hex25c6a65c1

10140411329 has 2 divisors, whose sum is σ = 10140411330. Its totient is φ = 10140411328.

The previous prime is 10140411301. The next prime is 10140411349. The reversal of 10140411329 is 92311404101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8542010929 + 1598400400 = 92423^2 + 39980^2 .

It is a cyclic number.

It is not a de Polignac number, because 10140411329 - 228 = 9871975873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140411298 and 10140411307.

It is not a weakly prime, because it can be changed into another prime (10140411349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5070205664 + 5070205665.

It is an arithmetic number, because the mean of its divisors is an integer number (5070205665).

Almost surely, 210140411329 is an apocalyptic number.

It is an amenable number.

10140411329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140411329 is an equidigital number, since it uses as much as digits as its factorization.

10140411329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10140411329 in words is "ten billion, one hundred forty million, four hundred eleven thousand, three hundred twenty-nine".