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1010040022931 is a prime number
BaseRepresentation
bin11101011001010110001…
…00111010011110010011
310120120002102111102202012
432230223010322132103
5113022030221213211
62052001143013135
7132654506352632
oct16545304723623
93516072442665
101010040022931
1135a3a0296805
1214390443a1ab
137432835a104
1436c59a27519
151b417dccd8b
hexeb2b13a793

1010040022931 has 2 divisors, whose sum is σ = 1010040022932. Its totient is φ = 1010040022930.

The previous prime is 1010040022897. The next prime is 1010040023093. The reversal of 1010040022931 is 1392200400101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010040022931 - 218 = 1010039760787 is a prime.

It is a super-3 number, since 3×10100400229313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1010040022897 and 1010040022906.

It is not a weakly prime, because it can be changed into another prime (1010040022631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505020011465 + 505020011466.

It is an arithmetic number, because the mean of its divisors is an integer number (505020011466).

Almost surely, 21010040022931 is an apocalyptic number.

1010040022931 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010040022931 is an equidigital number, since it uses as much as digits as its factorization.

1010040022931 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 1010040022931 in words is "one trillion, ten billion, forty million, twenty-two thousand, nine hundred thirty-one".