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111210112 = 271325397
BaseRepresentation
bin1101010000011…
…10111010000000
321202021001121001
412220032322000
5211432210422
615011341344
72520161506
oct650167200
9252231531
10111210112
1157858892
12312b1854
131a06a100
1410aac676
159b6b227
hex6a0ee80

111210112 has 96 divisors (see below), whose sum is σ = 246951180. Its totient is φ = 49840128.

The previous prime is 111210101. The next prime is 111210119. The reversal of 111210112 is 211012111.

It can be written as a sum of positive squares in 6 ways, for example, as 24049216 + 87160896 = 4904^2 + 9336^2 .

It is a super-2 number, since 2×1112101122 = 24735378022105088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111210119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146448 + ... + 1146544.

Almost surely, 2111210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123475590).

111210112 is an abundant number, since it is smaller than the sum of its proper divisors (135741068).

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

111210112 is an equidigital number, since it uses as much as digits as its factorization.

111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 111210112 is about 10545.6205128006. The cubic root of 111210112 is about 480.8925983723.

Adding to 111210112 its reverse (211012111), we get a palindrome (322222223).

The spelling of 111210112 in words is "one hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 97 104 106 128 169 194 208 212 338 388 416 424 676 689 776 832 848 1261 1352 1378 1552 1664 1696 2522 2704 2756 3104 3392 5044 5141 5408 5512 6208 6784 8957 10088 10282 10816 11024 12416 16393 17914 20176 20564 21632 22048 32786 35828 40352 41128 44096 65572 66833 71656 80704 82256 88192 131144 133666 143312 161408 164512 262288 267332 286624 329024 524576 534664 573248 658048 868829 1049152 1069328 1146496 1737658 2098304 2138656 3475316 4277312 6950632 8554624 13901264 27802528 55605056 111210112