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1055112101 is a prime number
BaseRepresentation
bin111110111000111…
…011101110100101
32201112101020200222
4332320323232211
54130102041401
6252410414125
735101206401
oct7670735645
92645336628
101055112101
114a164637a
12255431345
1313a7953b4
14a01b6101
156296ac1b
hex3ee3bba5

1055112101 has 2 divisors, whose sum is σ = 1055112102. Its totient is φ = 1055112100.

The previous prime is 1055112067. The next prime is 1055112119. The reversal of 1055112101 is 1012115501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 555544900 + 499567201 = 23570^2 + 22351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1055112101 is a prime.

It is a super-2 number, since 2×10551121012 = 2226523091353268402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1055112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527556050 + 527556051.

It is an arithmetic number, because the mean of its divisors is an integer number (527556051).

Almost surely, 21055112101 is an apocalyptic number.

It is an amenable number.

1055112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055112101 is an equidigital number, since it uses as much as digits as its factorization.

1055112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50, while the sum is 17.

The square root of 1055112101 is about 32482.4891441527. The cubic root of 1055112101 is about 1018.0431857553.

Adding to 1055112101 its reverse (1012115501), we get a palindrome (2067227602).

The spelling of 1055112101 in words is "one billion, fifty-five million, one hundred twelve thousand, one hundred one".