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1010111110973 is a prime number
BaseRepresentation
bin11101011001011110101…
…00000101111100111101
310120120021101021002012122
432230233110011330331
5113022201421022343
62052012202412325
7132656331530456
oct16545724057475
93516241232178
101010111110973
1135a427430258
121439242010a5
1374339cb9c43
1436c6525012d
151b41e271068
hexeb2f505f3d

1010111110973 has 2 divisors, whose sum is σ = 1010111110974. Its totient is φ = 1010111110972.

The previous prime is 1010111110961. The next prime is 1010111110979. The reversal of 1010111110973 is 3790111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 930611361124 + 79499749849 = 964682^2 + 281957^2 .

It is an emirp because it is prime and its reverse (3790111110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010111110973 - 220 = 1010110062397 is a prime.

It is a super-2 number, since 2×10101111109732 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010111110979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055555486 + 505055555487.

It is an arithmetic number, because the mean of its divisors is an integer number (505055555487).

Almost surely, 21010111110973 is an apocalyptic number.

It is an amenable number.

1010111110973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111110973 is an equidigital number, since it uses as much as digits as its factorization.

1010111110973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 26.

The spelling of 1010111110973 in words is "one trillion, ten billion, one hundred eleven million, one hundred ten thousand, nine hundred seventy-three".