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114351232122 = 232174115535869
BaseRepresentation
bin110101001111111011…
…1010101010001111010
3101221011100000110201100
41222133313111101322
53333142403411442
6124310543432230
711155505302251
oct1523767252172
9357140013640
10114351232122
1144550320216
121a1b3bb5676
13aa24b1657a
14576b045798
152e940eb84c
hex1a9fdd547a

114351232122 has 96 divisors (see below), whose sum is σ = 268952458320. Its totient is φ = 34971402240.

The previous prime is 114351232049. The next prime is 114351232141. The reversal of 114351232122 is 221232153411.

It is a happy number.

114351232122 is a `hidden beast` number, since 1 + 1 + 435 + 12 + 3 + 212 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3887397801 + 110463834321 = 62349^2 + 332361^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19481004 + ... + 19486872.

Almost surely, 2114351232122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114351232122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134476229160).

114351232122 is an abundant number, since it is smaller than the sum of its proper divisors (154601226198).

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

114351232122 is a wasteful number, since it uses less digits than its factorization.

114351232122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7485 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 114351232122 its reverse (221232153411), we get a palindrome (335583385533).

The spelling of 114351232122 in words is "one hundred fourteen billion, three hundred fifty-one million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 1553 2091 3106 4182 4659 5869 6273 9318 11738 12546 13977 17607 26401 27954 35214 52802 52821 63673 79203 99773 105642 127346 158406 191019 199546 237609 240629 299319 382038 475218 481258 573057 598638 721887 897957 1082441 1146114 1443774 1795914 2164882 2165661 3247323 4090693 4331322 6494646 8181386 9114557 9741969 12272079 18229114 19483938 24544158 27343671 36816237 54687342 73632474 82031013 154947469 164062026 309894938 373696837 464842407 747393674 929684814 1121090511 1394527221 2242181022 2789054442 3363271533 6352846229 6726543066 12705692458 19058538687 38117077374 57175616061 114351232122