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212222100112 = 241110123351239
BaseRepresentation
bin1100010110100101101…
…1000100001010010000
3202021210010022200220221
43011221123010022100
511434112324200422
6241254332042424
721222030041641
oct3055133041220
9667703280827
10212222100112
118200392a990
1235168903414
13170214a8289
14a3b33d56c8
1557c14673c7
hex31696c4290

212222100112 has 80 divisors (see below), whose sum is σ = 454954631040. Its totient is φ = 95097728000.

The previous prime is 212222100071. The next prime is 212222100119. The reversal of 212222100112 is 211001222212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212222100119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4116189 + ... + 4167427.

It is an arithmetic number, because the mean of its divisors is an integer number (5686932888).

Almost surely, 2212222100112 is an apocalyptic number.

212222100112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227477315520).

212222100112 is an abundant number, since it is smaller than the sum of its proper divisors (242732530928).

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

212222100112 is a wasteful number, since it uses less digits than its factorization.

212222100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51592 (or 51586 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212222100112 its reverse (211001222212), we get a palindrome (423223322324).

It can be divided in two parts, 212222100 and 112, that added together give a palindrome (212222212).

The spelling of 212222100112 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 233 404 466 808 932 1111 1616 1864 2222 2563 3728 4444 5126 8888 10252 17776 20504 23533 41008 47066 51239 94132 102478 188264 204956 258863 376528 409912 517726 563629 819824 1035452 1127258 2070904 2254516 4141808 4509032 5175139 9018064 10350278 11938687 20700556 23877374 41401112 47754748 56926529 82802224 95509496 113853058 131325557 191018992 227706116 262651114 455412232 525302228 910824464 1050604456 1205807387 2101208912 2411614774 4823229548 9646459096 13263881257 19292918192 26527762514 53055525028 106111050056 212222100112