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10141133343 = 3112371918583
BaseRepresentation
bin10010111000111010…
…10110101000011111
3222011202022221200020
421130131112220133
5131232112231333
64354143403223
7506210132265
oct113435265037
928152287606
1010141133343
114334450640
121b702b3513
13c58003623
146c2bc0435
153e548a3b3
hex25c756a1f

10141133343 has 32 divisors (see below), whose sum is σ = 15414312960. Its totient is φ = 5870425440.

The previous prime is 10141133309. The next prime is 10141133357. The reversal of 10141133343 is 34333114101.

It is not a de Polignac number, because 10141133343 - 28 = 10141133087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141133243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536430 + ... + 555012.

It is an arithmetic number, because the mean of its divisors is an integer number (481697280).

Almost surely, 210141133343 is an apocalyptic number.

10141133343 is a deficient number, since it is larger than the sum of its proper divisors (5273179617).

10141133343 is a wasteful number, since it uses less digits than its factorization.

10141133343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19339.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10141133343 its reverse (34333114101), we get a palindrome (44474247444).

The spelling of 10141133343 in words is "ten billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred forty-three".

Divisors: 1 3 11 23 33 69 253 719 759 2157 7909 16537 18583 23727 49611 55749 181907 204413 427409 545721 613239 1282227 4701499 13361177 14104497 40083531 146972947 307307071 440918841 921921213 3380377781 10141133343