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13212323505 = 34532623021
BaseRepresentation
bin11000100111000010…
…00000111010110001
31021002210022120120000
430103201000322301
5204024323323010
610023013540213
7645261616413
oct142341007261
937083276500
1013212323505
115670015227
122688944669
131327382304
148d4a389b3
15524de27c0
hex313840eb1

13212323505 has 20 divisors (see below), whose sum is σ = 23684313972. Its totient is φ = 7046572320.

The previous prime is 13212323503. The next prime is 13212323557. The reversal of 13212323505 is 50532321231.

It is a happy number.

13212323505 is a `hidden beast` number, since 1 + 32 + 123 + 2 + 3 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7849251216 + 5363072289 = 88596^2 + 73233^2 .

It is not a de Polignac number, because 13212323505 - 21 = 13212323503 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13212323503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16311106 + ... + 16311915.

Almost surely, 213212323505 is an apocalyptic number.

13212323505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13212323505 is a deficient number, since it is larger than the sum of its proper divisors (10471990467).

13212323505 is an equidigital number, since it uses as much as digits as its factorization.

13212323505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32623038 (or 32623029 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13212323505 its reverse (50532321231), we get a palindrome (63744644736).

The spelling of 13212323505 in words is "thirteen billion, two hundred twelve million, three hundred twenty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 32623021 97869063 163115105 293607189 489345315 880821567 1468035945 2642464701 4404107835 13212323505