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1014213102111 = 321131330470219
BaseRepresentation
bin11101100001000111100…
…11111100101000011111
310120221212020212211012100
432300203303330220133
5113104102023231421
62053531214340143
7133163101061346
oct16604363745037
93527766784170
101014213102111
11361141945980
12144689aba653
1374841a9b531
1437133d52b5d
151b5ae440c26
hexec23cfca1f

1014213102111 has 24 divisors (see below), whose sum is σ = 1649707338240. Its totient is φ = 594846392400.

The previous prime is 1014213102059. The next prime is 1014213102143. The reversal of 1014213102111 is 1112013124101.

1014213102111 is a `hidden beast` number, since 1 + 0 + 1 + 421 + 31 + 0 + 211 + 1 = 666.

It is not a de Polignac number, because 1014213102111 - 26 = 1014213102047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014213102011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165232041 + ... + 165238178.

It is an arithmetic number, because the mean of its divisors is an integer number (68737805760).

Almost surely, 21014213102111 is an apocalyptic number.

1014213102111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1014213102111 is a deficient number, since it is larger than the sum of its proper divisors (635494236129).

1014213102111 is a wasteful number, since it uses less digits than its factorization.

1014213102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330470267 (or 330470264 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1014213102111 its reverse (1112013124101), we get a palindrome (2126226226212).

The spelling of 1014213102111 in words is "one trillion, fourteen billion, two hundred thirteen million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 330470219 991410657 2974231971 3635172409 10244576789 10905517227 30733730367 32716551681 92201191101 112690344679 338071034037 1014213102111