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21114120042 = 233652959887
BaseRepresentation
bin10011101010011111…
…111110011101101010
32000111110221102122000
4103222133332131222
5321220203320132
613411044511430
71345141026201
oct235237763552
960443842560
1021114120042
118a55408994
1241130ab576
131cb6460572
14104425c238
1583899087c
hex4ea7fe76a

21114120042 has 32 divisors (see below), whose sum is σ = 46928236800. Its totient is φ = 7036844544.

The previous prime is 21114120011. The next prime is 21114120047. The reversal of 21114120042 is 24002141112.

21114120042 is a `hidden beast` number, since 211 + 1 + 412 + 0 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21114119997 and 21114120024.

It is not an unprimeable number, because it can be changed into a prime (21114120047) 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 15 ways as a sum of consecutive naturals, for example, 322623 + ... + 382509.

It is an arithmetic number, because the mean of its divisors is an integer number (1466507400).

Almost surely, 221114120042 is an apocalyptic number.

21114120042 is an abundant number, since it is smaller than the sum of its proper divisors (25814116758).

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

21114120042 is a wasteful number, since it uses less digits than its factorization.

21114120042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66427 (or 66421 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21114120042 its reverse (24002141112), we get a palindrome (45116261154).

The spelling of 21114120042 in words is "twenty-one billion, one hundred fourteen million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 6529 13058 19587 39174 58761 59887 117522 119774 176283 179661 352566 359322 538983 1077966 1616949 3233898 391002223 782004446 1173006669 2346013338 3519020007 7038040014 10557060021 21114120042