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11213213112 = 23323110149741
BaseRepresentation
bin10100111000101110…
…00000110110111000
31001221110122020122100
422130113000312320
5140431040304422
65052402023400
7544605511263
oct123427006670
931843566570
1011213213112
114834625a82
12220b347b60
131099159b5a
14785331cda
154596587ac
hex29c5c0db8

11213213112 has 96 divisors (see below), whose sum is σ = 31659788160. Its totient is φ = 3581280000.

The previous prime is 11213213111. The next prime is 11213213129. The reversal of 11213213112 is 21131231211.

11213213112 is a `hidden beast` number, since 11 + 21 + 321 + 311 + 2 = 666.

It is a super-2 number, since 2×112132131122 (a number of 21 digits) contains 22 as substring.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213213111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200562 + ... + 250302.

It is an arithmetic number, because the mean of its divisors is an integer number (329789460).

Almost surely, 211213213112 is an apocalyptic number.

11213213112 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 11213213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829894080).

11213213112 is an abundant number, since it is smaller than the sum of its proper divisors (20446575048).

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

11213213112 is a wasteful number, since it uses less digits than its factorization.

11213213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49885 (or 49878 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11213213112 its reverse (21131231211), we get a palindrome (32344444323).

The spelling of 11213213112 in words is "eleven billion, two hundred thirteen million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 101 124 186 202 248 279 303 372 404 558 606 744 808 909 1116 1212 1818 2232 2424 3131 3636 6262 7272 9393 12524 18786 25048 28179 37572 49741 56358 75144 99482 112716 149223 198964 225432 298446 397928 447669 596892 895338 1193784 1541971 1790676 3083942 3581352 4625913 5023841 6167884 9251826 10047682 12335768 13877739 15071523 18503652 20095364 27755478 30143046 37007304 40190728 45214569 55510956 60286092 90429138 111021912 120572184 155739071 180858276 311478142 361716552 467217213 622956284 934434426 1245912568 1401651639 1868868852 2803303278 3737737704 5606606556 11213213112