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1111112212212 = 2233101355928621
BaseRepresentation
bin10000001010110011011…
…100101101111011110100
310221012222022122122012000
4100022303130231323310
5121201024211242322
62210234330455300
7143163252654462
oct20126334557364
93835868578160
101111112212212
11399246971552
1215b411294530
1380a15030b82
143bac7227832
151dd813083ac
hex102b372def4

1111112212212 has 96 divisors (see below), whose sum is σ = 2910101779200. Its totient is φ = 366587856000.

The previous prime is 1111112212183. The next prime is 1111112212247. The reversal of 1111112212212 is 2122122111111.

It is a happy number.

1111112212212 is a `hidden beast` number, since 111 + 111 + 221 + 221 + 2 = 666.

It is a super-3 number, since 3×11111122122123 (a number of 37 digits) contains 333 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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38807262 + ... + 38835882.

It is an arithmetic number, because the mean of its divisors is an integer number (30313560200).

Almost surely, 21111112212212 is an apocalyptic number.

1111112212212 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 1111112212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455050889600).

1111112212212 is an abundant number, since it is smaller than the sum of its proper divisors (1798989566988).

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

1111112212212 is a wasteful number, since it uses less digits than its factorization.

1111112212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32294 (or 32286 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 1111112212212 its reverse (2122122111111), we get a palindrome (3233234323323).

The spelling of 1111112212212 in words is "one trillion, one hundred eleven billion, one hundred twelve million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3559 3636 5454 7118 10677 10908 14236 21354 28621 32031 42708 57242 64062 85863 96093 114484 128124 171726 192186 257589 343452 359459 384372 515178 718918 772767 1030356 1078377 1437836 1545534 2156754 2890721 3091068 3235131 4313508 5781442 6470262 8672163 9705393 11562884 12940524 17344326 19410786 26016489 34688652 38821572 52032978 78049467 101862139 104065956 156098934 203724278 305586417 312197868 407448556 611172834 916759251 1222345668 1833518502 2750277753 3667037004 5500555506 10288076039 11001111012 20576152078 30864228117 41152304156 61728456234 92592684351 123456912468 185185368702 277778053053 370370737404 555556106106 1111112212212