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10141013213 = 172412475229
BaseRepresentation
bin10010111000111001…
…11001010011011101
3222011202002211212222
421130130321103131
5131232044410323
64354141035125
7506206122122
oct113434712335
928152084788
1010141013213
114334379361
121b70255aa5
13c57c90a46
146c2b8c749
153e54649c8
hex25c7394dd

10141013213 has 8 divisors (see below), whose sum is σ = 10782101880. Its totient is φ = 9504875520.

The previous prime is 10141013189. The next prime is 10141013249. The reversal of 10141013213 is 31231014101.

It can be written as a sum of positive squares in 4 ways, for example, as 7596516964 + 2544496249 = 87158^2 + 50443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10141013213 - 26 = 10141013149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10141013191 and 10141013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141013273) 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 7 ways as a sum of consecutive naturals, for example, 1233518 + ... + 1241711.

It is an arithmetic number, because the mean of its divisors is an integer number (1347762735).

Almost surely, 210141013213 is an apocalyptic number.

It is an amenable number.

10141013213 is a deficient number, since it is larger than the sum of its proper divisors (641088667).

10141013213 is a wasteful number, since it uses less digits than its factorization.

10141013213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475487.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10141013213 its reverse (31231014101), we get a palindrome (41372027314).

The spelling of 10141013213 in words is "ten billion, one hundred forty-one million, thirteen thousand, two hundred thirteen".

Divisors: 1 17 241 4097 2475229 42078893 596530189 10141013213