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112311122022 = 23411537871511
BaseRepresentation
bin110100010011001000…
…0111011100001100110
3101201220011012010210000
41220212100323201212
53320003121401042
6123332305042130
711054113533351
oct1504620734146
9351804163700
10112311122022
11436a3778310
1219924926346
13a78b267528
145616109298
152dc4e6474c
hex1a2643b866

112311122022 has 160 divisors (see below), whose sum is σ = 280259046144. Its totient is φ = 33327028800.

The previous prime is 112311122017. The next prime is 112311122023. The reversal of 112311122022 is 220221113211.

112311122022 is a `hidden beast` number, since 112 + 311 + 1 + 220 + 22 = 666.

It is a super-2 number, since 2×1123111220222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112311121986 and 112311122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311122023) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 74328247 + ... + 74329757.

Almost surely, 2112311122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112311122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140129523072).

112311122022 is an abundant number, since it is smaller than the sum of its proper divisors (167947924122).

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

112311122022 is a wasteful number, since it uses less digits than its factorization.

112311122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112311122022 its reverse (220221113211), we get a palindrome (332532235233).

The spelling of 112311122022 in words is "one hundred twelve billion, three hundred eleven million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 297 318 477 583 594 787 891 954 1166 1431 1511 1574 1749 1782 2361 2862 3022 3498 4293 4533 4722 5247 7083 8586 8657 9066 10494 13599 14166 15741 16621 17314 21249 25971 27198 31482 33242 40797 41711 42498 47223 49863 51942 63747 77913 80083 81594 83422 94446 99726 122391 125133 127494 149589 155826 160166 233739 240249 244782 250266 299178 375399 448767 458821 467478 480498 701217 720747 750798 880913 897534 917642 1126197 1189157 1346301 1376463 1402434 1441494 1761826 2162241 2252394 2378314 2642739 2692602 2752926 3378591 3567471 4129389 4324482 5285478 6486723 6757182 7134942 7928217 8258778 10702413 12388167 12973446 13080727 15856434 21404826 23784651 24776334 26161454 32107239 37164501 39242181 47569302 63025321 64214478 71353953 74329002 78484362 96321717 117726543 126050642 142707906 189075963 192643434 235453086 353179629 378151926 567227889 693278531 706359258 1059538887 1134455778 1386557062 1701683667 2079835593 2119077774 3403367334 4159671186 5105051001 6239506779 10210102002 12479013558 18718520337 37437040674 56155561011 112311122022