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1106133813311 is a prime number
BaseRepresentation
bin10000000110001010101…
…101101000100000111111
310220202010100220202202112
4100012022231220200333
5121110330224011221
62204052330244235
7142626012165122
oct20061255504077
93822110822675
101106133813311
1139712177879a
1215a461b8667b
13804007c63c7
143b773d8a3b9
151db8e21c15b
hex1018ab6883f

1106133813311 has 2 divisors, whose sum is σ = 1106133813312. Its totient is φ = 1106133813310.

The previous prime is 1106133813263. The next prime is 1106133813319. The reversal of 1106133813311 is 1133183316011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1106133813311 - 226 = 1106066704447 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1106133813319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 553066906655 + 553066906656.

It is an arithmetic number, because the mean of its divisors is an integer number (553066906656).

Almost surely, 21106133813311 is an apocalyptic number.

1106133813311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1106133813311 is an equidigital number, since it uses as much as digits as its factorization.

1106133813311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 1106133813311 in words is "one trillion, one hundred six billion, one hundred thirty-three million, eight hundred thirteen thousand, three hundred eleven".