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20122014420 = 22325111788969
BaseRepresentation
bin10010101111010111…
…011001001011010100
31220221100010020120100
4102233113121023110
5312202213430140
613124404334100
71311433205034
oct225727311324
956840106510
1020122014420
118596397292
123a969a4330
131b88a58711
14d8c5a78c4
157cb81d530
hex4af5d92d4

20122014420 has 36 divisors (see below), whose sum is σ = 61036777620. Its totient is φ = 5365870464.

The previous prime is 20122014401. The next prime is 20122014427. The reversal of 20122014420 is 2441022102.

20122014420 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 1 + 442 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15452478864 + 4669535556 = 124308^2 + 68334^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 20122014393 and 20122014402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122014427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55894305 + ... + 55894664.

It is an arithmetic number, because the mean of its divisors is an integer number (1695466045).

Almost surely, 220122014420 is an apocalyptic number.

20122014420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122014420 is an abundant number, since it is smaller than the sum of its proper divisors (40914763200).

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

20122014420 is a wasteful number, since it uses less digits than its factorization.

20122014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111788984 (or 111788979 counting only the distinct ones).

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

Adding to 20122014420 its reverse (2441022102), we get a palindrome (22563036522).

The spelling of 20122014420 in words is "twenty billion, one hundred twenty-two million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 111788969 223577938 335366907 447155876 558944845 670733814 1006100721 1117889690 1341467628 1676834535 2012201442 2235779380 3353669070 4024402884 5030503605 6707338140 10061007210 20122014420