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112112111202 = 237132294491997
BaseRepresentation
bin110100001101001100…
…1110000111001100010
3101201101021201100020220
41220122121300321202
53314101200024302
6123300435343510
711046146136030
oct1503231607142
9351337640226
10112112111202
1143601400563
121988a151b96
13a758c68550
1455d7903550
152db27534bc
hex1a1a670e62

112112111202 has 128 divisors (see below), whose sum is σ = 277929792000. Its totient is φ = 29358637056.

The previous prime is 112112111179. The next prime is 112112111219. The reversal of 112112111202 is 202111211211.

It is a happy number.

It is a super-2 number, since 2×1121121112022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56139268 + ... + 56141264.

It is an arithmetic number, because the mean of its divisors is an integer number (2171326500).

Almost surely, 2112112111202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138964896000).

112112111202 is an abundant number, since it is smaller than the sum of its proper divisors (165817680798).

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

112112111202 is a wasteful number, since it uses less digits than its factorization.

112112111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112111202 its reverse (202111211211), we get a palindrome (314223322413).

The spelling of 112112111202 in words is "one hundred twelve billion, one hundred twelve million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 229 273 449 458 546 687 898 1347 1374 1603 1997 2694 2977 3143 3206 3994 4809 5837 5954 5991 6286 8931 9429 9618 11674 11982 13979 17511 17862 18858 20839 25961 27958 35022 40859 41678 41937 51922 62517 77883 81718 83874 102821 122577 125034 155766 181727 205642 245154 308463 363454 457313 545181 616926 719747 896653 914626 1090362 1336673 1371939 1439494 1793306 2159241 2673346 2689959 2743878 3201191 4010019 4318482 5379918 5945069 6276571 6402382 8020038 9356711 9603573 11656489 11890138 12553142 17835207 18713422 18829713 19207146 23312978 28070133 34969467 35670414 37659426 41615483 56140266 69938934 81595423 83230966 124846449 163190846 205333537 244786269 249692898 410667074 489572538 616000611 1232001222 1437334759 2669335981 2874669518 4312004277 5338671962 8008007943 8624008554 16016015886 18685351867 37370703734 56056055601 112112111202