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101100011111083 is a prime number
BaseRepresentation
bin10110111111001100101110…
…001111111100001010101011
3111020222001210121021210120001
4112333030232033330022223
5101222410310321023313
6555004412014243431
730203143344254515
oct2677145617741253
9436861717253501
10101100011111083
112a239301667086
12b409a391b6577
1344548c831170a
141ad73a396cbb5
15ba4c9b217add
hex5bf32e3fc2ab

101100011111083 has 2 divisors, whose sum is σ = 101100011111084. Its totient is φ = 101100011111082.

The previous prime is 101100011111081. The next prime is 101100011111101. The reversal of 101100011111083 is 380111110001101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101100011111083 - 21 = 101100011111081 is a prime.

It is a super-2 number, since 2×1011000111110832 (a number of 29 digits) contains 22 as substring.

Together with 101100011111081, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101100011111083.

It is not a weakly prime, because it can be changed into another prime (101100011111081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005555541 + 50550005555542.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005555542).

Almost surely, 2101100011111083 is an apocalyptic number.

101100011111083 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100011111083 is an equidigital number, since it uses as much as digits as its factorization.

101100011111083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 101100011111083 its reverse (380111110001101), we get a palindrome (481211121112184).

The spelling of 101100011111083 in words is "one hundred one trillion, one hundred billion, eleven million, one hundred eleven thousand, eighty-three".