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201142241334 = 2338344877787
BaseRepresentation
bin1011101101010100000…
…0110000100000110110
3201020011221121120001000
42323111000300200312
511243414403210314
6232223052144130
720350330561446
oct2732500604066
9636157546030
10201142241334
1178338608001
1232b96168046
1315c76b6c918
149a41a98126
1553738a1209
hex2ed5030836

201142241334 has 32 divisors (see below), whose sum is σ = 452368103040. Its totient is φ = 66239612136.

The previous prime is 201142241309. The next prime is 201142241351. The reversal of 201142241334 is 433142241102.

201142241334 is a `hidden beast` number, since 201 + 1 + 42 + 2 + 413 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201142241298 and 201142241307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22434412 + ... + 22443375.

It is an arithmetic number, because the mean of its divisors is an integer number (14136503220).

Almost surely, 2201142241334 is an apocalyptic number.

201142241334 is an abundant number, since it is smaller than the sum of its proper divisors (251225861706).

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

201142241334 is a wasteful number, since it uses less digits than its factorization.

201142241334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44877881 (or 44877875 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 201142241334 its reverse (433142241102), we get a palindrome (634284482436).

The spelling of 201142241334 in words is "two hundred one billion, one hundred forty-two million, two hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 4482 44877787 89755574 134633361 269266722 403900083 807800166 1211700249 2423400498 3724856321 7449712642 11174568963 22349137926 33523706889 67047413778 100571120667 201142241334