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122130405 = 3252714009
BaseRepresentation
bin1110100011110…
…00111111100101
322111210212102100
413101320333211
5222231133110
620041402313
73012043215
oct721707745
9274725370
10122130405
1162a37421
1234a99399
131c3c1817
1412312245
15aac6bc0
hex7478fe5

122130405 has 12 divisors (see below), whose sum is σ = 211692780. Its totient is φ = 65136192.

The previous prime is 122130403. The next prime is 122130419. The reversal of 122130405 is 504031221.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 50253921 = 8478^2 + 7089^2 .

It is not a de Polignac number, because 122130405 - 21 = 122130403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356960 + ... + 1357049.

It is an arithmetic number, because the mean of its divisors is an integer number (17641065).

Almost surely, 2122130405 is an apocalyptic number.

122130405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122130405 is a deficient number, since it is larger than the sum of its proper divisors (89562375).

122130405 is a wasteful number, since it uses less digits than its factorization.

122130405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714020 (or 2714017 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122130405 is about 11051.2625975497. The cubic root of 122130405 is about 496.1442156193.

Adding to 122130405 its reverse (504031221), we get a palindrome (626161626).

It can be divided in two parts, 1221 and 30405, that added together give a triangular number (31626 = T251).

The spelling of 122130405 in words is "one hundred twenty-two million, one hundred thirty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 2714009 8142027 13570045 24426081 40710135 122130405