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2112122200110 = 2351352310355063
BaseRepresentation
bin11110101111000100010…
…010110010000000101110
321110220202102112202121020
4132233010102302000232
5234101111240400420
64254143500515010
7305411233323606
oct36570422620056
97426672482536
102112122200110
11744822a1228a
122a141554ba66
13124231622a90
147432785bc06
1539e1b575340
hex1ebc44b202e

2112122200110 has 64 divisors (see below), whose sum is σ = 5469461964288. Its totient is φ = 518912866944.

The previous prime is 2112122200093. The next prime is 2112122200117. The reversal of 2112122200110 is 110022212112.

It is a super-2 number, since 2×21121222001102 (a number of 25 digits) contains 22 as substring.

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 2112122200110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112122200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4973562 + ... + 5381501.

It is an arithmetic number, because the mean of its divisors is an integer number (85460343192).

Almost surely, 22112122200110 is an apocalyptic number.

2112122200110 is an abundant number, since it is smaller than the sum of its proper divisors (3357339764178).

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

2112122200110 is a wasteful number, since it uses less digits than its factorization.

2112122200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355609.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112122200110 its reverse (110022212112), we get a palindrome (2222144412222).

The spelling of 2112122200110 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 523 1046 1569 2615 3138 5230 6799 7845 13598 15690 20397 33995 40794 67990 101985 203970 10355063 20710126 31065189 51775315 62130378 103550630 134615819 155325945 269231638 310651890 403847457 673079095 807694914 1346158190 2019237285 4038474570 5415697949 10831395898 16247093847 27078489745 32494187694 54156979490 70404073337 81235469235 140808146674 162470938470 211212220011 352020366685 422424440022 704040733370 1056061100055 2112122200110