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2112132132342 = 2324123336733469
BaseRepresentation
bin11110101111000100111…
…000101010110111110110
321110220210010020101001200
4132233010320222313312
5234101121311213332
64254144453433330
7305411413621551
oct36570470526766
97426703211050
102112132132342
11744828586541
122a141893b846
131242336bc83b
1474328cc5698
1539e1c38817c
hex1ebc4e2adf6

2112132132342 has 96 divisors (see below), whose sum is σ = 4720992232320. Its totient is φ = 682040355840.

The previous prime is 2112132132323. The next prime is 2112132132361. The reversal of 2112132132342 is 2432312312112.

2112132132342 is a `hidden beast` number, since 2 + 1 + 1 + 213 + 213 + 234 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2112132132323) and next prime (2112132132361).

It is a super-2 number, since 2×21121321323422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63090384 + ... + 63123852.

It is an arithmetic number, because the mean of its divisors is an integer number (49177002420).

Almost surely, 22112132132342 is an apocalyptic number.

2112132132342 is an abundant number, since it is smaller than the sum of its proper divisors (2608860099978).

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

2112132132342 is a wasteful number, since it uses less digits than its factorization.

2112132132342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34118 (or 34115 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 2112132132342 its reverse (2432312312112), we get a palindrome (4544444444454).

The spelling of 2112132132342 in words is "two trillion, one hundred twelve billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 233 246 367 369 466 699 734 738 1101 1398 2097 2202 3303 4194 6606 9553 15047 19106 28659 30094 33469 45141 57318 66938 85511 85977 90282 100407 135423 171022 171954 200814 256533 270846 301221 513066 602442 769599 1372229 1539198 2744458 3505951 4116687 7011902 7798277 8233374 10517853 12283123 12350061 15596554 21035706 23394831 24566246 24700122 31553559 36849369 46789662 63107118 70184493 73698738 110548107 140368986 221096214 319729357 503608043 639458714 959188071 1007216086 1510824129 1918376142 2861967659 2877564213 3021648258 4532472387 5723935318 5755128426 8585902977 9064944774 17171805954 25757708931 51515417862 117340674019 234681348038 352022022057 704044044114 1056066066171 2112132132342