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10011112121056 = 251674194470971
BaseRepresentation
bin1001000110101110010011…
…0010000010001011100000
31022110001102121122111020111
42101223210302002023200
52303010224200333211
633143012540221104
72052164455664554
oct221534462021340
938401377574214
1010011112121056
11320a763892042
12115827923a794
1357807537b797
1426877cc67864
1512562a77d421
hex91ae4c822e0

10011112121056 has 48 divisors (see below), whose sum is σ = 19874722412160. Its totient is φ = 4963706661760.

The previous prime is 10011112121029. The next prime is 10011112121057. The reversal of 10011112121056 is 65012121111001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011112121057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3651 + ... + 4474621.

It is an arithmetic number, because the mean of its divisors is an integer number (414056716920).

Almost surely, 210011112121056 is an apocalyptic number.

10011112121056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10011112121056 is a deficient number, since it is larger than the sum of its proper divisors (9863610291104).

10011112121056 is a wasteful number, since it uses less digits than its factorization.

10011112121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471567 (or 4471559 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 22.

Adding to 10011112121056 its reverse (65012121111001), we get a palindrome (75023233232057).

The spelling of 10011112121056 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 167 334 419 668 838 1336 1676 2672 3352 5344 6704 13408 69973 139946 279892 559784 1119568 2239136 4470971 8941942 17883884 35767768 71535536 143071072 746652157 1493304314 1873336849 2986608628 3746673698 5973217256 7493347396 11946434512 14986694792 23892869024 29973389584 59946779168 312847253783 625694507566 1251389015132 2502778030264 5005556060528 10011112121056