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2042023013019 = 3211101920241899
BaseRepresentation
bin11101101101110010000…
…011100110101010011011
321020012211002120002121200
4131231302003212222123
5231424030342404034
64202031544005243
7300350143136013
oct35556203465233
97205732502550
102042023013019
11718020834510
1228b911460823
1311a73c78a952
1470b979c6c43
15381b73c0a99
hex1db720e6a9b

2042023013019 has 24 divisors (see below), whose sum is σ = 3220891128000. Its totient is φ = 1236375129840.

The previous prime is 2042023012907. The next prime is 2042023013029. The reversal of 2042023013019 is 9103103202402.

It is a happy number.

2042023013019 is a `hidden beast` number, since 2 + 0 + 420 + 230 + 1 + 3 + 0 + 1 + 9 = 666.

It is not a de Polignac number, because 2042023013019 - 216 = 2042022947483 is a prime.

It is a super-2 number, since 2×20420230130192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042023012983 and 2042023013001.

It is not an unprimeable number, because it can be changed into a prime (2042023013029) 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, 10020069 + ... + 10221830.

It is an arithmetic number, because the mean of its divisors is an integer number (134203797000).

Almost surely, 22042023013019 is an apocalyptic number.

2042023013019 is a deficient number, since it is larger than the sum of its proper divisors (1178868114981).

2042023013019 is a wasteful number, since it uses less digits than its factorization.

2042023013019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242935 (or 20242932 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 2042023013019 in words is "two trillion, forty-two billion, twenty-three million, thirteen thousand, nineteen".

Divisors: 1 3 9 11 33 99 1019 3057 9171 11209 33627 100881 20241899 60725697 182177091 222660889 667982667 2003948001 20626495081 61879485243 185638455729 226891445891 680674337673 2042023013019