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120240042021 = 32114328245253
BaseRepresentation
bin110111111111011011…
…1010111000000100101
3102111100201212000020200
41233332313113000211
53432222422321041
6131123145221113
711454442331241
oct1577667270045
9374321760220
10120240042021
1146aa2407260
121b378191799
13b452b51378
145b6918d421
1531db0be1b6
hex1bfedd7025

120240042021 has 24 divisors (see below), whose sum is σ = 193875423456. Its totient is φ = 71178035040.

The previous prime is 120240042017. The next prime is 120240042037.

120240042021 is a `hidden beast` number, since 1 + 2 + 0 + 240 + 0 + 420 + 2 + 1 = 666.

120240042021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120240042021 - 22 = 120240042017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120240041985 and 120240042003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120240042001) 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, 14118370 + ... + 14126883.

It is an arithmetic number, because the mean of its divisors is an integer number (8078142644).

Almost surely, 2120240042021 is an apocalyptic number.

120240042021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120240042021 is a deficient number, since it is larger than the sum of its proper divisors (73635381435).

120240042021 is a wasteful number, since it uses less digits than its factorization.

120240042021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28245313 (or 28245310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 1202400 and 42021, that added together give a palindrome (1244421).

The spelling of 120240042021 in words is "one hundred twenty billion, two hundred forty million, forty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 28245253 84735759 254207277 310697783 932093349 1214545879 2796280047 3643637637 10930912911 13360004669 40080014007 120240042021