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1011112212 = 22311101149509
BaseRepresentation
bin111100010001000…
…101100100010100
32121110120211012110
4330101011210110
54032321042322
6244155351020
734025212005
oct7421054424
92543524173
101011112212
11479823630
12242752470
1313162b066
14984011ac
155db78c0c
hex3c445914

1011112212 has 96 divisors (see below), whose sum is σ = 2621808000. Its totient is φ = 300736000.

The previous prime is 1011112199. The next prime is 1011112241. The reversal of 1011112212 is 2122111101.

Adding to 1011112212 its reverse (2122111101), we get a palindrome (3133223313).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1986214 + ... + 1986722.

It is an arithmetic number, because the mean of its divisors is an integer number (27310500).

Almost surely, 21011112212 is an apocalyptic number.

1011112212 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 1011112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310904000).

1011112212 is an abundant number, since it is smaller than the sum of its proper divisors (1610695788).

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

1011112212 is a wasteful number, since it uses less digits than its factorization.

1011112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1011112212 is about 31797.9906912371. The cubic root of 1011112212 is about 1003.6904346054.

The spelling of 1011112212 in words is "one billion, eleven million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 149 202 298 303 404 447 509 596 606 894 1018 1111 1212 1527 1639 1788 2036 2222 3054 3278 3333 4444 4917 5599 6108 6556 6666 9834 11198 13332 15049 16797 19668 22396 30098 33594 45147 51409 60196 67188 75841 90294 102818 151682 154227 165539 180588 205636 227523 303364 308454 331078 455046 496617 565499 616908 662156 834251 910092 993234 1130998 1668502 1696497 1986468 2261996 2502753 3337004 3392994 5005506 6785988 7659941 10011012 15319882 22979823 30639764 45959646 84259351 91919292 168518702 252778053 337037404 505556106 1011112212