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13212310013 = 729472116563
BaseRepresentation
bin11000100111000001…
…11101100111111101
31021002210021220001022
430103200331213331
5204024322410023
610023013353525
7645261532160
oct142340754775
937083256038
1013212310013
115670006081
1226889388a5
131327379126
148d4a33ad7
15524ddd7c8
hex31383d9fd

13212310013 has 32 divisors (see below), whose sum is σ = 16030863360. Its totient is φ = 10649338560.

The previous prime is 13212310009. The next prime is 13212310061. The reversal of 13212310013 is 31001321231.

It is not a de Polignac number, because 13212310013 - 22 = 13212310009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13212309973 and 13212310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212310063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2009870 + ... + 2016432.

It is an arithmetic number, because the mean of its divisors is an integer number (500964480).

Almost surely, 213212310013 is an apocalyptic number.

It is an amenable number.

13212310013 is a deficient number, since it is larger than the sum of its proper divisors (2818553347).

13212310013 is a wasteful number, since it uses less digits than its factorization.

13212310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13212310013 its reverse (31001321231), we get a palindrome (44213631244).

The spelling of 13212310013 in words is "thirteen billion, two hundred twelve million, three hundred ten thousand, thirteen".

Divisors: 1 7 29 47 203 211 329 1363 1477 6119 6563 9541 9917 42833 45941 69419 190327 287593 308461 1332289 1384793 2013151 2159227 8945369 9693551 40158997 62617583 65085271 281112979 455596897 1887472859 13212310013