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120142022 = 27211138573
BaseRepresentation
bin1110010100100…
…11100011000110
322101001211212112
413022103203012
5221224021042
615531021022
72656122200
oct712234306
9271054775
10120142022
11618a9530
123429a772
131bb76770
1411d55770
15a832982
hex72938c6

120142022 has 48 divisors (see below), whose sum is σ = 246313872. Its totient is φ = 43202880.

The previous prime is 120142021. The next prime is 120142027. The reversal of 120142022 is 220241021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120141988 and 120142006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120142021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9728 + ... + 18300.

It is an arithmetic number, because the mean of its divisors is an integer number (5131539).

Almost surely, 2120142022 is an apocalyptic number.

120142022 is an abundant number, since it is smaller than the sum of its proper divisors (126171850).

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

120142022 is a wasteful number, since it uses less digits than its factorization.

120142022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 120142022 is about 10960.9316209892. The cubic root of 120142022 is about 493.4369250238.

Adding to 120142022 its reverse (220241021), we get a palindrome (340383043).

The spelling of 120142022 in words is "one hundred twenty million, one hundred forty-two thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 8573 14014 17146 60011 94303 111449 120022 188606 222898 420077 660121 780143 840154 1225939 1320242 1560286 2451878 4620847 5461001 8581573 9241694 10922002 17163146 60071011 120142022