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112201220101012 = 22721813823182727
BaseRepresentation
bin11001100000101111100001…
…110111100001001110010100
3112201021022221221111212111221
4121200233201313201032110
5104201301044321213022
61034344310125540124
732430161554616500
oct3140574167411624
9481238857455457
10112201220101012
11328292a7738119
1210701421714644
134a7b6b6866553
141d9c7d4955300
15ce8927d20cc7
hex660be1de1394

112201220101012 has 72 divisors (see below), whose sum is σ = 229680342073728. Its totient is φ = 47818738497600.

The previous prime is 112201220101001. The next prime is 112201220101021. The reversal of 112201220101012 is 210101022102211.

It is a super-2 number, since 2×1122012201010122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1356241593 + ... + 1356324319.

It is an arithmetic number, because the mean of its divisors is an integer number (3190004751024).

Almost surely, 2112201220101012 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 112201220101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114840171036864).

112201220101012 is an abundant number, since it is smaller than the sum of its proper divisors (117479121972716).

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

112201220101012 is a wasteful number, since it uses less digits than its factorization.

112201220101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121157 (or 121148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112201220101012 its reverse (210101022102211), we get a palindrome (322302242203223).

The spelling of 112201220101012 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 1267 2534 5068 8869 17738 35476 38231 76462 82727 152924 165454 267617 330908 535234 579089 1070468 1158178 1873319 2316356 3746638 4053623 6919811 7493276 8107246 13839622 14973587 16214492 27679244 29947174 48438677 59894348 96877354 104815109 193754708 209630218 339070739 419260436 678141478 733705763 1356282956 1467411526 2934823052 3162735937 6325471874 12650943748 22139151559 44278303118 88556606236 154974060913 309948121826 572455204597 619896243652 1144910409194 2289820818388 4007186432179 8014372864358 16028745728716 28050305025253 56100610050506 112201220101012