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1010111948977 is a prime number
BaseRepresentation
bin11101011001011110101…
…11010010100010110001
310120120021102211122201211
432230233113102202301
5113022202124331402
62052012232400121
7132656341620565
oct16545727224261
93516242748654
101010111948977
1135a42795291a
12143924546041
137433a2214c1
1436c653cb6a5
151b41e3894d7
hexeb2f5d28b1

1010111948977 has 2 divisors, whose sum is σ = 1010111948978. Its totient is φ = 1010111948976.

The previous prime is 1010111948969. The next prime is 1010111949001. The reversal of 1010111948977 is 7798491110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 565648393216 + 444463555761 = 752096^2 + 666681^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010111948977 - 23 = 1010111948969 is a prime.

It is a super-2 number, since 2×10101119489772 (a number of 25 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 1010111948977.

It is not a weakly prime, because it can be changed into another prime (1010111948947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055974488 + 505055974489.

It is an arithmetic number, because the mean of its divisors is an integer number (505055974489).

Almost surely, 21010111948977 is an apocalyptic number.

It is an amenable number.

1010111948977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111948977 is an equidigital number, since it uses as much as digits as its factorization.

1010111948977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 49.

The spelling of 1010111948977 in words is "one trillion, ten billion, one hundred eleven million, nine hundred forty-eight thousand, nine hundred seventy-seven".