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10114134121 = 713314776283
BaseRepresentation
bin10010110101101100…
…10111000001101001
3222002212112020201001
421122312113001221
5131203204242441
64351340555001
7505431502330
oct113266270151
928085466631
1010114134121
11432018a733
121b63252a61
13c5253c460
146bd392d17
153e2e05731
hex25ad97069

10114134121 has 32 divisors (see below), whose sum is σ = 13123289088. Its totient is φ = 7579379520.

The previous prime is 10114134113. The next prime is 10114134127. The reversal of 10114134121 is 12143141101.

10114134121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10114134121 - 23 = 10114134113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10114134127) 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 31 ways as a sum of consecutive naturals, for example, 94446 + ... + 170728.

It is an arithmetic number, because the mean of its divisors is an integer number (410102784).

Almost surely, 210114134121 is an apocalyptic number.

It is an amenable number.

10114134121 is a deficient number, since it is larger than the sum of its proper divisors (3009154967).

10114134121 is a wasteful number, since it uses less digits than its factorization.

10114134121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76381.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10114134121 its reverse (12143141101), we get a palindrome (22257275222).

The spelling of 10114134121 in words is "ten billion, one hundred fourteen million, one hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 7 13 31 47 91 217 329 403 611 1457 2821 4277 10199 18941 76283 132587 533981 991679 2364773 3585301 6941753 16553411 25097107 30742049 46608913 111144331 215194343 326262391 778010317 1444876303 10114134121