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1010111000993 is a prime number
BaseRepresentation
bin11101011001011110100…
…11101011000110100001
310120120021101001111100022
432230233103223012201
5113022201404012433
62052012200203225
7132656330562023
oct16545723530641
93516241044308
101010111000993
1135a427365666
12143924169515
1374339c7bb73
1436c65222013
151b41e24d698
hexeb2f4eb1a1

1010111000993 has 2 divisors, whose sum is σ = 1010111000994. Its totient is φ = 1010111000992.

The previous prime is 1010111000981. The next prime is 1010111001013. The reversal of 1010111000993 is 3990001110101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 727733543329 + 282377457664 = 853073^2 + 531392^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111000993 - 212 = 1010110996897 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010111000903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055500496 + 505055500497.

It is an arithmetic number, because the mean of its divisors is an integer number (505055500497).

Almost surely, 21010111000993 is an apocalyptic number.

It is an amenable number.

1010111000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111000993 is an equidigital number, since it uses as much as digits as its factorization.

1010111000993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 26.

The spelling of 1010111000993 in words is "one trillion, ten billion, one hundred eleven million, nine hundred ninety-three", and thus it is an aban number.