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132340013 = 132783077
BaseRepresentation
bin1111110001101…
…01100100101101
3100020000120100222
413320311210231
5232334340023
621044301125
73164604641
oct770654455
9306016328
10132340013
1168780013
12383a17a5
1321557900
141380cc21
15b941cc8
hex7e3592d

132340013 has 6 divisors (see below), whose sum is σ = 143303274. Its totient is φ = 122159856.

The previous prime is 132340007. The next prime is 132340031. The reversal of 132340013 is 310043231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10745284 + 121594729 = 3278^2 + 11027^2 .

It is not a de Polignac number, because 132340013 - 220 = 131291437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132339973 and 132340000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132340003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391370 + ... + 391707.

It is an arithmetic number, because the mean of its divisors is an integer number (23883879).

Almost surely, 2132340013 is an apocalyptic number.

132340013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132340013 is a deficient number, since it is larger than the sum of its proper divisors (10963261).

132340013 is an equidigital number, since it uses as much as digits as its factorization.

132340013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783103 (or 783090 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132340013 is about 11503.9129429947. The cubic root of 132340013 is about 509.6011401474.

Adding to 132340013 its reverse (310043231), we get a palindrome (442383244).

The spelling of 132340013 in words is "one hundred thirty-two million, three hundred forty thousand, thirteen".

Divisors: 1 13 169 783077 10180001 132340013