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20142122 = 27111310061
BaseRepresentation
bin100110011010…
…1100000101010
31101220022210112
41030311200222
520124021442
61555414322
7333130250
oct114654052
941808715
1020142122
1110408090
1268b43a2
134233020
1429645d0
151b7d082
hex133582a

20142122 has 32 divisors (see below), whose sum is σ = 40569984. Its totient is φ = 7243200.

The previous prime is 20142091. The next prime is 20142131. The reversal of 20142122 is 22124102.

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 = 20142097 and 20142106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3029 + ... + 7032.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 220142122 is an apocalyptic number.

20142122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20142122 is an abundant number, since it is smaller than the sum of its proper divisors (20427862).

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

20142122 is a wasteful number, since it uses less digits than its factorization.

20142122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094.

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

The square root of 20142122 is about 4487.9975490189. The cubic root of 20142122 is about 272.0832087554.

Adding to 20142122 its reverse (22124102), we get a palindrome (42266224).

The spelling of 20142122 in words is "twenty million, one hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 10061 20122 70427 110671 130793 140854 221342 261586 774697 915551 1438723 1549394 1831102 2877446 10071061 20142122