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10020112100019 = 327991421138113
BaseRepresentation
bin1001000111001111110100…
…1110001110101010110011
31022110220122211200210101200
42101303331032032222303
52303132142144200034
633151102001102243
72052633501360360
oct221637516165263
938426584623350
1010020112100019
11321356206948a
121159b6b327983
13578b7ab22318
14268d94275467
151259a5953a99
hex91cfd38eab3

10020112100019 has 48 divisors (see below), whose sum is σ = 16562195380224. Its totient is φ = 5718492172800.

The previous prime is 10020112099981. The next prime is 10020112100051. The reversal of 10020112100019 is 91000121102001.

It is a happy number.

It is not a de Polignac number, because 10020112100019 - 29 = 10020112099507 is a prime.

It is a super-2 number, since 2×100201121000192 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020112099974 and 10020112100010.

It is not an unprimeable number, because it can be changed into a prime (10020112100069) 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, 262886307 + ... + 262924419.

It is an arithmetic number, because the mean of its divisors is an integer number (345045737088).

Almost surely, 210020112100019 is an apocalyptic number.

10020112100019 is a deficient number, since it is larger than the sum of its proper divisors (6542083280205).

10020112100019 is a wasteful number, since it uses less digits than its factorization.

10020112100019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43328 (or 43325 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 10020112100019 in words is "ten trillion, twenty billion, one hundred twelve million, one hundred thousand, nineteen".

Divisors: 1 3 7 9 21 63 991 2973 4211 6937 8919 12633 20811 29477 37899 38113 62433 88431 114339 265293 266791 343017 800373 2401119 4173101 12519303 29211707 37557909 37769983 87635121 113309949 160493843 262905363 264389881 339929847 481481529 793169643 1123456901 1444444587 2379508929 3370370703 10111112109 159049398413 477148195239 1113345788891 1431444585717 3340037366673 10020112100019