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10093125339 = 331125952363
BaseRepresentation
bin10010110011001100…
…01101111011011011
3222001101222220002000
421121212031323123
5131132320002324
64345310412043
7505055102253
oct113146157333
928041886060
1010093125339
11430a340500
121b58201023
13c4b094b1b
146ba684963
153e11559c9
hex25998dedb

10093125339 has 48 divisors (see below), whose sum is σ = 16714588800. Its totient is φ = 6013252080.

The previous prime is 10093125313. The next prime is 10093125373. The reversal of 10093125339 is 93352139001.

10093125339 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 312 + 5 + 339 = 666.

It is not a de Polignac number, because 10093125339 - 29 = 10093124827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093125139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166572 + ... + 218934.

It is an arithmetic number, because the mean of its divisors is an integer number (348220600).

Almost surely, 210093125339 is an apocalyptic number.

10093125339 is a deficient number, since it is larger than the sum of its proper divisors (6621463461).

10093125339 is a wasteful number, since it uses less digits than its factorization.

10093125339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52453 (or 52436 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 10093125339 in words is "ten billion, ninety-three million, one hundred twenty-five thousand, three hundred thirty-nine".

Divisors: 1 3 9 11 27 33 59 99 121 177 297 363 531 649 1089 1593 1947 3267 5841 7139 17523 21417 52363 64251 157089 192753 471267 575993 1413801 1727979 3089417 5183937 6335923 9268251 15551811 19007769 27804753 33983587 57023307 83414259 101950761 171069921 305852283 373819457 917556849 1121458371 3364375113 10093125339