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1012034310111 = 3211173577102409
BaseRepresentation
bin11101011101000011111…
…00100000111111011111
310120202020102002201110100
432232201330200333133
5113040121240410421
62052531103312143
7133055103462156
oct16564174407737
93522212081410
101012034310111
11360223a91230
121441802ab653
13745855840b6
1436da883659d
151b4d3012c26
hexeba1f20fdf

1012034310111 has 48 divisors (see below), whose sum is σ = 1606734249120. Its totient is φ = 608745922560.

The previous prime is 1012034310107. The next prime is 1012034310113. The reversal of 1012034310111 is 1110134302101.

It is a happy number.

1012034310111 is a `hidden beast` number, since 1 + 0 + 120 + 3 + 431 + 0 + 111 = 666.

It is not a de Polignac number, because 1012034310111 - 22 = 1012034310107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012034310113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9831075 + ... + 9933483.

It is an arithmetic number, because the mean of its divisors is an integer number (33473630190).

Almost surely, 21012034310111 is an apocalyptic number.

1012034310111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012034310111 is a deficient number, since it is larger than the sum of its proper divisors (594699939009).

1012034310111 is a wasteful number, since it uses less digits than its factorization.

1012034310111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103176 (or 103173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1012034310111 its reverse (1110134302101), we get a palindrome (2122168612212).

The spelling of 1012034310111 in words is "one trillion, twelve billion, thirty-four million, three hundred ten thousand, one hundred eleven".

Divisors: 1 3 9 11 33 99 173 519 577 1557 1731 1903 5193 5709 6347 17127 19041 57123 99821 102409 299463 307227 898389 921681 1098031 1126499 3294093 3379497 9882279 10138491 17716757 53150271 59089993 159450813 177269979 194884327 531809937 584652981 649989923 1753958943 1949969769 5849909307 10222568789 30667706367 92003119101 112448256679 337344770037 1012034310111