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122131420 = 2256439497
BaseRepresentation
bin1110100011110…
…01001111011100
322111210220210221
413101321033130
5222231201140
620041411124
73012046165
oct721711734
9274726727
10122131420
1162a38164
1234a99aa4
131c3c2118
141231276c
15aac714a
hex74793dc

122131420 has 24 divisors (see below), whose sum is σ = 256901904. Its totient is φ = 48771456.

The previous prime is 122131397. The next prime is 122131421. The reversal of 122131420 is 24131221.

It is a junction number, because it is equal to n+sod(n) for n = 122131394 and 122131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8112 + ... + 17608.

It is an arithmetic number, because the mean of its divisors is an integer number (10704246).

Almost surely, 2122131420 is an apocalyptic number.

122131420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122131420 is an abundant number, since it is smaller than the sum of its proper divisors (134770484).

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

122131420 is a wasteful number, since it uses less digits than its factorization.

122131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10149 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 122131420 is about 11051.3085198089. The cubic root of 122131420 is about 496.1455900654.

Adding to 122131420 its reverse (24131221), we get a palindrome (146262641).

The spelling of 122131420 in words is "one hundred twenty-two million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 643 1286 2572 3215 6430 9497 12860 18994 37988 47485 94970 189940 6106571 12213142 24426284 30532855 61065710 122131420