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2112020220112 = 24111723314232129
BaseRepresentation
bin11110101110111110001…
…101110000100011010000
321110220111022122122100021
4132232332031300203100
5234100404134020422
64254125415033224
7305405554444045
oct36567615604320
97426438578307
102112020220112
117447803991a0
122a13a736b814
13124216467c9a
14743180b31cc
1539e1262ddc7
hex1ebbe3708d0

2112020220112 has 160 divisors (see below), whose sum is σ = 4752486535680. Its totient is φ = 898605711360.

The previous prime is 2112020220067. The next prime is 2112020220113. The reversal of 2112020220112 is 2110220202112.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112020220113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992023464 + ... + 992025592.

It is an arithmetic number, because the mean of its divisors is an integer number (29703040848).

Almost surely, 22112020220112 is an apocalyptic number.

2112020220112 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 2112020220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376243267840).

2112020220112 is an abundant number, since it is smaller than the sum of its proper divisors (2640466315568).

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

2112020220112 is a wasteful number, since it uses less digits than its factorization.

2112020220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

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

Adding to 2112020220112 its reverse (2110220202112), we get a palindrome (4222240422224).

The spelling of 2112020220112 in words is "two trillion, one hundred twelve billion, twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 233 272 374 466 748 932 1423 1496 1864 2129 2563 2846 2992 3728 3961 4258 5126 5692 7922 8516 10252 11384 15653 15844 17032 20504 22768 23419 24191 31306 31688 34064 36193 41008 43571 46838 48382 62612 63376 72386 87142 93676 96764 125224 144772 174284 187352 193528 250448 266101 289544 331559 348568 374704 387056 398123 496057 532202 579088 663118 697136 796246 992114 1064404 1326236 1592492 1984228 2128808 2652472 3029567 3184984 3647149 3968456 4257616 5304944 5456627 5636503 6059134 6369968 7294298 7936912 8432969 10913254 11273006 12118268 14588596 16865938 21826508 22546012 24236536 29177192 33325237 33731876 43653016 45092024 48473072 51502639 58354384 62001533 66650474 67463752 87306032 90184048 92762659 103005278 124003066 133300948 134927504 185525318 206010556 248006132 266601896 371050636 412021112 496012264 533203792 566529029 705889111 742101272 824042224 992024528 1133058058 1411778222 1484202544 2266116116 2823556444 4532232232 5647112888 7764780221 9064464464 11294225776 12000114887 15529560442 24000229774 31059120884 48000459548 62118241768 96000919096 124236483536 132001263757 192001838192 264002527514 528005055028 1056010110056 2112020220112