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122132413 = 1324331669
BaseRepresentation
bin1110100011110…
…01011110111101
322111210222011201
413101321132331
5222231214123
620041415501
73012052114
oct721713675
9274728151
10122132413
1162a38987
1234a9a591
131c3c2700
1412312c7b
15aac75ad
hex74797bd

122132413 has 12 divisors (see below), whose sum is σ = 132634740. Its totient is φ = 112409856.

The previous prime is 122132411. The next prime is 122132441. The reversal of 122132413 is 314231221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 38464804 + 83667609 = 6202^2 + 9147^2 .

It is not a de Polignac number, because 122132413 - 21 = 122132411 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72343 + ... + 74011.

It is an arithmetic number, because the mean of its divisors is an integer number (11052895).

Almost surely, 2122132413 is an apocalyptic number.

122132413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122132413 is a deficient number, since it is larger than the sum of its proper divisors (10502327).

122132413 is a wasteful number, since it uses less digits than its factorization.

122132413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2115 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 122132413 is about 11051.3534465241. The cubic root of 122132413 is about 496.1469347132.

Adding to 122132413 its reverse (314231221), we get a palindrome (436363634).

The spelling of 122132413 in words is "one hundred twenty-two million, one hundred thirty-two thousand, four hundred thirteen".

Divisors: 1 13 169 433 1669 5629 21697 73177 282061 722677 9394801 122132413