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13214320031 = 1117590311971
BaseRepresentation
bin11000100111010001…
…01000010110011111
31021002221002000021102
430103220220112133
5204030331220111
610023124423315
7645314603243
oct142350502637
937087060242
1013214320031
115671159250
122689547b3b
131327900ca3
148d4dd8423
1552518913b
hex313a2859f

13214320031 has 16 divisors (see below), whose sum is σ = 15267460608. Its totient is φ = 11303510400.

The previous prime is 13214320001. The next prime is 13214320037. The reversal of 13214320031 is 13002341231.

13214320031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13214320031 - 218 = 13214057887 is a prime.

It is a super-2 number, since 2×132143200312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13214319985 and 13214320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214320037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097876 + ... + 1109846.

It is an arithmetic number, because the mean of its divisors is an integer number (954216288).

Almost surely, 213214320031 is an apocalyptic number.

13214320031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13214320031 is a deficient number, since it is larger than the sum of its proper divisors (2053140577).

13214320031 is a wasteful number, since it uses less digits than its factorization.

13214320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13214320031 its reverse (13002341231), we get a palindrome (26216661262).

The spelling of 13214320031 in words is "thirteen billion, two hundred fourteen million, three hundred twenty thousand, thirty-one".

Divisors: 1 11 17 187 5903 11971 64933 100351 131681 203507 1103861 2238577 70664813 777312943 1201301821 13214320031