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10011112012020 = 2235723835980981
BaseRepresentation
bin1001000110101110010011…
…0001100111100011110100
31022110001102121102221200010
42101223210301213203310
52303010224133341040
633143012534020220
72052164455031640
oct221534461474364
938401377387603
1010011112012020
11320a763818129
1211582791a7670
13578075340c72
1426877cc39c20
1512562a75ae80
hex91ae4c678f4

10011112012020 has 48 divisors (see below), whose sum is σ = 32035558439808. Its totient is φ = 2288254174080.

The previous prime is 10011112012007. The next prime is 10011112012061. The reversal of 10011112012020 is 2021021111001.

10011112012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100111120120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011112011987 and 10011112012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11917990071 + ... + 11917990910.

It is an arithmetic number, because the mean of its divisors is an integer number (667407467496).

Almost surely, 210011112012020 is an apocalyptic number.

10011112012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011112012020 is an abundant number, since it is smaller than the sum of its proper divisors (22024446427788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011112012020 is a wasteful number, since it uses less digits than its factorization.

10011112012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23835981000 (or 23835980998 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011112012020 its reverse (2021021111001), we get a palindrome (12032133123021).

The spelling of 10011112012020 in words is "ten trillion, eleven billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 23835980981 47671961962 71507942943 95343923924 119179904905 143015885886 166851866867 238359809810 286031771772 333703733734 357539714715 476719619620 500555600601 667407467468 715079429430 834259334335 1001111201202 1430158858860 1668518668670 2002222402404 2502778003005 3337037337340 5005556006010 10011112012020