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2210011112112 = 24329271771079
BaseRepresentation
bin100000001010001110111…
…011010110001010110000
321211021102110210201112120
4200022032323112022300
5242202100321041422
64411133131554240
7315445064334606
oct40121673261260
97737373721476
102210011112112
11782295726761
122b83942bb980
1313053196180b
1478d72387876
153c74a2a745c
hex2028eed62b0

2210011112112 has 120 divisors (see below), whose sum is σ = 5996140151040. Its totient is φ = 701249176320.

The previous prime is 2210011112087. The next prime is 2210011112117. The reversal of 2210011112112 is 2112111100122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210011112091 and 2210011112100.

It is not an unprimeable number, because it can be changed into a prime (2210011112117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2480589 + ... + 3251667.

It is an arithmetic number, because the mean of its divisors is an integer number (49967834592).

Almost surely, 22210011112112 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 2210011112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998070075520).

2210011112112 is an abundant number, since it is smaller than the sum of its proper divisors (3786129038928).

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

2210011112112 is a wasteful number, since it uses less digits than its factorization.

2210011112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771219 (or 771184 counting only the distinct ones).

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

Adding to 2210011112112 its reverse (2112111100122), we get a palindrome (4322122212234).

The spelling of 2210011112112 in words is "two trillion, two hundred ten billion, eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 71 87 116 142 174 213 232 284 348 426 464 568 696 841 852 1136 1392 1682 1704 2059 2523 3364 3408 4118 5046 6177 6728 8236 10092 12354 13456 16472 20184 24708 32944 40368 49416 59711 98832 119422 179133 238844 358266 477688 716532 771079 955376 1433064 1542158 2313237 2866128 3084316 4626474 6168632 9252948 12337264 18505896 22361291 37011792 44722582 54746609 67083873 89445164 109493218 134167746 164239827 178890328 218986436 268335492 328479654 357780656 437972872 536670984 648477439 656959308 875945744 1073341968 1296954878 1313918616 1587651661 1945432317 2593909756 2627837232 3175303322 3890864634 4762954983 5187819512 6350606644 7781729268 9525909966 10375639024 12701213288 15563458536 19051819932 25402426576 31126917072 38103639864 46041898169 76207279728 92083796338 138125694507 184167592676 276251389014 368335185352 552502778028 736670370704 1105005556056 2210011112112