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13211122212 = 223217130316567
BaseRepresentation
bin11000100110111000…
…11011101000100100
31021002201001112200200
430103130123220210
5204024021402322
610022532110500
7645245454201
oct142334335044
937081045620
1013211122212
11566a374722
122688465430
1313270515a2
148d4804ca8
15524c568ac
hex31371ba24

13211122212 has 72 divisors (see below), whose sum is σ = 35388452736. Its totient is φ = 4141234944.

The previous prime is 13211122187. The next prime is 13211122241. The reversal of 13211122212 is 21222111231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789153 + ... + 805719.

It is an arithmetic number, because the mean of its divisors is an integer number (491506288).

Almost surely, 213211122212 is an apocalyptic number.

13211122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694226368).

13211122212 is an abundant number, since it is smaller than the sum of its proper divisors (22177330524).

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

13211122212 is a wasteful number, since it uses less digits than its factorization.

13211122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17897 (or 17892 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 13211122212 its reverse (21222111231), we get a palindrome (34433233443).

The spelling of 13211122212 in words is "thirteen billion, two hundred eleven million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1303 2606 3909 5212 7818 11727 15636 16567 22151 23454 33134 44302 46908 49701 66268 66453 88604 99402 132906 149103 198804 199359 265812 281639 298206 398718 563278 596412 797436 844917 1126556 1689834 2534751 3379668 5069502 10139004 21586801 43173602 64760403 86347204 129520806 194281209 259041612 366975617 388562418 733951234 777124836 1100926851 1467902468 2201853702 3302780553 4403707404 6605561106 13211122212