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13212407406 = 23111814792309
BaseRepresentation
bin11000100111000010…
…10101011001101110
31021002210110211122110
430103201111121232
5204024334014111
610023015424450
7645262416132
oct142341253156
937083424573
1013212407406
115670072270
122688985126
1313273b1563
148d4a5b3c2
15524e0c5a6
hex31385566e

13212407406 has 64 divisors (see below), whose sum is σ = 29059430400. Its totient is φ = 3971606400.

The previous prime is 13212407387. The next prime is 13212407407. The reversal of 13212407406 is 60470421231.

13212407406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212407407) 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 31 ways as a sum of consecutive naturals, for example, 5720980 + ... + 5723288.

It is an arithmetic number, because the mean of its divisors is an integer number (454053600).

Almost surely, 213212407406 is an apocalyptic number.

13212407406 is an abundant number, since it is smaller than the sum of its proper divisors (15847022994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13212407406 is a wasteful number, since it uses less digits than its factorization.

13212407406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 13212407406 its reverse (60470421231), we get a palindrome (73682828637).

The spelling of 13212407406 in words is "thirteen billion, two hundred twelve million, four hundred seven thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 181 362 479 543 958 1086 1437 1991 2309 2874 3982 4618 5269 5973 6927 10538 11946 13854 15807 25399 31614 50798 76197 86699 152394 173398 260097 417929 520194 835858 953689 1106011 1253787 1907378 2212022 2507574 2861067 3318033 4597219 5722134 6636066 9194438 12166121 13791657 24332242 27583314 36498363 72996726 200187991 400375982 600563973 1201127946 2202067901 4404135802 6606203703 13212407406