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112111210112 = 2711476072791
BaseRepresentation
bin110100001101001011…
…0010100111010000000
3101201101020000120012012
41220122112110322000
53314100432210422
6123300404152052
711046135363656
oct1503226247200
9351336016165
10112111210112
1143600945560
1219889998628
13a758a11365
1455d774add6
152db26264e2
hex1a1a594e80

112111210112 has 128 divisors (see below), whose sum is σ = 249334087680. Its totient is φ = 49775385600.

The previous prime is 112111210109. The next prime is 112111210117. The reversal of 112111210112 is 211012111211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1121112101122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112111210117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40167437 + ... + 40170227.

It is an arithmetic number, because the mean of its divisors is an integer number (1947922560).

Almost surely, 2112111210112 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 112111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124667043840).

112111210112 is an abundant number, since it is smaller than the sum of its proper divisors (137222877568).

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

112111210112 is a wasteful number, since it uses less digits than its factorization.

112111210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112111210112 its reverse (211012111211), we get a palindrome (323123321323).

It can be divided in two parts, 112111 and 210112, that added together give a palindrome (322223).

The spelling of 112111210112 in words is "one hundred twelve billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 607 704 752 1034 1214 1408 1504 2068 2428 2791 3008 4136 4856 5582 6016 6677 8272 9712 11164 13354 16544 19424 22328 26708 28529 30701 33088 38848 44656 53416 57058 61402 66176 77696 89312 106832 114116 122804 131177 178624 213664 228232 245608 262354 313819 357248 427328 456464 491216 524708 627638 854656 912928 982432 1049416 1255276 1442947 1694137 1825856 1964864 2098832 2510552 2885894 3388274 3651712 3929728 4197664 5021104 5771788 6776548 8395328 10042208 11543576 13553096 16790656 18635507 20084416 23087152 27106192 37271014 40168832 46174304 54212384 74542028 79624439 92348608 108424768 149084056 159248878 184697216 216849536 298168112 318497756 596336224 636995512 875868829 1192672448 1273991024 1751737658 2385344896 2547982048 3503475316 5095964096 7006950632 10191928192 14013901264 28027802528 56055605056 112111210112