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114112055322 = 232433117112503
BaseRepresentation
bin110101001000110011…
…0111100100000011010
3101220112122222000211100
41222101212330200122
53332200141232242
6124231121212230
711146542315636
oct1522146744032
9356478860740
10114112055322
114443830a141
121a147a91076
13a9b73c3335
145747385dc6
152e7d10454c
hex1a919bc81a

114112055322 has 48 divisors (see below), whose sum is σ = 248045249088. Its totient is φ = 37914065280.

The previous prime is 114112055303. The next prime is 114112055329. The reversal of 114112055322 is 223550211411.

It is a happy number.

114112055322 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 120 + 5 + 532 + 2 = 666.

It is a super-2 number, since 2×1141120553222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114112055329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9120523 + ... + 9133025.

It is an arithmetic number, because the mean of its divisors is an integer number (5167609356).

Almost surely, 2114112055322 is an apocalyptic number.

114112055322 is an abundant number, since it is smaller than the sum of its proper divisors (133933193766).

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

114112055322 is a wasteful number, since it uses less digits than its factorization.

114112055322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14115 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 114112055322 its reverse (223550211411), we get a palindrome (337662266733).

The spelling of 114112055322 in words is "one hundred fourteen billion, one hundred twelve million, fifty-five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 433 866 1171 1299 2342 2598 3513 3897 7026 7794 10539 12503 21078 25006 37509 75018 112527 225054 507043 1014086 1521129 3042258 4563387 5413799 9126774 10827598 14641013 16241397 29282026 32482794 43923039 48724191 87846078 97448382 131769117 263538234 6339558629 12679117258 19018675887 38037351774 57056027661 114112055322