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2212101112110 = 23517139253112329
BaseRepresentation
bin100000001100001011100…
…000000100000100101110
321211110211010111201112220
4200030023200010010232
5242220340341041420
64412120351540210
7315550633132221
oct40141340040456
97743733451486
102212101112110
1178316845468a
122b887822a666
131307a595aac6
14790cdb8d5b8
153c81d9e6840
hex2030b80412e

2212101112110 has 128 divisors (see below), whose sum is σ = 5664476966400. Its totient is φ = 550937333760.

The previous prime is 2212101112069. The next prime is 2212101112187. The reversal of 2212101112110 is 112111012122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212101112110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179416426 + ... + 179428754.

It is an arithmetic number, because the mean of its divisors is an integer number (44253726300).

Almost surely, 22212101112110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212101112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832238483200).

2212101112110 is an abundant number, since it is smaller than the sum of its proper divisors (3452375854290).

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

2212101112110 is a wasteful number, since it uses less digits than its factorization.

2212101112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15026.

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

Adding to 2212101112110 its reverse (112111012122), we get a palindrome (2324212124232).

The spelling of 2212101112110 in words is "two trillion, two hundred twelve billion, one hundred one million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 139 170 255 278 417 510 695 834 1390 2085 2363 2531 4170 4726 5062 7089 7593 11815 12329 12655 14178 15186 23630 24658 25310 35445 36987 37965 43027 61645 70890 73974 75930 86054 123290 129081 184935 209593 215135 258162 351809 369870 419186 430270 628779 645405 703618 1047965 1055427 1257558 1290810 1713731 1759045 2095930 2110854 3143895 3427462 3518090 5141193 5277135 5980753 6287790 8568655 10282386 10554270 11961506 17137310 17942259 25705965 29133427 29903765 31204699 35884518 51411930 58266854 59807530 62409398 87400281 89711295 93614097 145667135 156023495 174800562 179422590 187228194 291334270 312046990 437001405 468070485 530479883 874002810 936140970 1060959766 1591439649 2652399415 3182879298 4337453161 5304798830 7957198245 8674906322 13012359483 15914396490 21687265805 26024718966 43374531610 65061797415 73736703737 130123594830 147473407474 221210111211 368683518685 442420222422 737367037370 1106050556055 2212101112110