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132122113 = 1731724517
BaseRepresentation
bin1111110000000…
…00011000000001
3100012121111110121
413320000120001
5232310401423
621035500241
73163006444
oct770003001
9305544417
10132122113
1168641332
12382b7681
13214ac686
141379365b
15b8ec45d
hex7e00601

132122113 has 8 divisors (see below), whose sum is σ = 140341032. Its totient is φ = 123952896.

The previous prime is 132122099. The next prime is 132122119. The reversal of 132122113 is 311221231.

Adding to 132122113 its reverse (311221231), we get a palindrome (443343344).

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 130347889 = 1332^2 + 11417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132122113 - 225 = 98567681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132122119) 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, 6870 + ... + 17647.

It is an arithmetic number, because the mean of its divisors is an integer number (17542629).

Almost surely, 2132122113 is an apocalyptic number.

It is an amenable number.

132122113 is a deficient number, since it is larger than the sum of its proper divisors (8218919).

132122113 is a wasteful number, since it uses less digits than its factorization.

132122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24851.

The product of its digits is 72, while the sum is 16.

The square root of 132122113 is about 11494.4383507851. The cubic root of 132122113 is about 509.3212976268.

The spelling of 132122113 in words is "one hundred thirty-two million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 17 317 5389 24517 416789 7771889 132122113