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132126231 = 3416171741
BaseRepresentation
bin1111110000000…
…01011000010111
3100012121201010010
413320001120113
5232311014411
621035531303
73163024446
oct770013027
9305551103
10132126231
1168644436
12382b9b33
13214b1503
1413794d5d
15b8ed7a6
hex7e01617

132126231 has 16 divisors (see below), whose sum is σ = 180861408. Its totient is φ = 85747200.

The previous prime is 132126221. The next prime is 132126251. The reversal of 132126231 is 132621231.

It is not a de Polignac number, because 132126231 - 26 = 132126167 is a prime.

It is a super-2 number, since 2×1321262312 = 34914681836530722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132126198 and 132126207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132126221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75021 + ... + 76761.

It is an arithmetic number, because the mean of its divisors is an integer number (11303838).

Almost surely, 2132126231 is an apocalyptic number.

132126231 is a deficient number, since it is larger than the sum of its proper divisors (48735177).

132126231 is a wasteful number, since it uses less digits than its factorization.

132126231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402.

The product of its digits is 432, while the sum is 21.

The square root of 132126231 is about 11494.6174794988. The cubic root of 132126231 is about 509.3265891036.

Adding to 132126231 its reverse (132621231), we get a palindrome (264747462).

The spelling of 132126231 in words is "one hundred thirty-two million, one hundred twenty-six thousand, two hundred thirty-one".

Divisors: 1 3 41 123 617 1741 1851 5223 25297 71381 75891 214143 1074197 3222591 44042077 132126231