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13222012212 = 22331015632153
BaseRepresentation
bin11000101000001011…
…11110010100110100
31021010110112210222000
430110011332110310
5204034313342322
610024001335300
7645440151363
oct142405762464
937113483860
1013222012212
115675532522
122690037530
131329395286
148d603b7da
15525ba83ac
hex31417e534

13222012212 has 96 divisors (see below), whose sum is σ = 34696287360. Its totient is φ = 4353926400.

The previous prime is 13222012211. The next prime is 13222012217. The reversal of 13222012212 is 21221022231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222012211) 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, 6140128 + ... + 6142280.

It is an arithmetic number, because the mean of its divisors is an integer number (361419660).

Almost surely, 213222012212 is an apocalyptic number.

13222012212 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 13222012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348143680).

13222012212 is an abundant number, since it is smaller than the sum of its proper divisors (21474275148).

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

13222012212 is a wasteful number, since it uses less digits than its factorization.

13222012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13222012212 its reverse (21221022231), we get a palindrome (34443034443).

The spelling of 13222012212 in words is "thirteen billion, two hundred twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 563 606 909 1126 1212 1689 1818 2153 2252 2727 3378 3636 4306 5067 5454 6459 6756 8612 10134 10908 12918 15201 19377 20268 25836 30402 38754 56863 58131 60804 77508 113726 116262 170589 217453 227452 232524 341178 434906 511767 652359 682356 869812 1023534 1212139 1304718 1535301 1957077 2047068 2424278 2609436 3070602 3636417 3914154 4848556 5871231 6141204 7272834 7828308 10909251 11742462 14545668 21818502 23484924 32727753 43637004 65455506 122426039 130911012 244852078 367278117 489704156 734556234 1101834351 1469112468 2203668702 3305503053 4407337404 6611006106 13222012212