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13211320212 = 2233211691839
BaseRepresentation
bin11000100110111010…
…01011111110010100
31021002201102121022000
430103131023332110
5204024044221322
610022540235300
7645250240356
oct142335137624
937081377260
1013211320212
11566a49a462
12268853bb30
1313270c074c
148d48570d6
15524c953ac
hex31374bf94

13211320212 has 96 divisors (see below), whose sum is σ = 34504780800. Its totient is φ = 4371343200.

The previous prime is 13211320201. The next prime is 13211320223. The reversal of 13211320212 is 21202311231.

13211320212 is a `hidden beast` number, since 1 + 321 + 1 + 320 + 21 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13211320201) and next prime (13211320223).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15746089 + ... + 15746927.

It is an arithmetic number, because the mean of its divisors is an integer number (359424800).

Almost surely, 213211320212 is an apocalyptic number.

13211320212 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 13211320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252390400).

13211320212 is an abundant number, since it is smaller than the sum of its proper divisors (21293460588).

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

13211320212 is a wasteful number, since it uses less digits than its factorization.

13211320212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13211320212 its reverse (21202311231), we get a palindrome (34413631443).

The spelling of 13211320212 in words is "thirteen billion, two hundred eleven million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 691 839 844 1266 1382 1678 1899 2073 2517 2532 2764 3356 3798 4146 5034 5697 6219 7551 7596 8292 10068 11394 12438 15102 18657 22653 22788 24876 30204 37314 45306 74628 90612 145801 177029 291602 354058 437403 531087 579749 583204 708116 874806 1062174 1159498 1312209 1593261 1739247 1749612 2124348 2318996 2624418 3186522 3478494 3936627 4779783 5217741 5248836 6373044 6956988 7873254 9559566 10435482 15653223 15746508 19119132 20870964 31306446 62612892 122327039 244654078 366981117 489308156 733962234 1100943351 1467924468 2201886702 3302830053 4403773404 6605660106 13211320212