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10131114331 = 132753283079
BaseRepresentation
bin10010110111101110…
…01000100101011011
3222011001110221011201
421123313020211123
5131222031124311
64353144535031
7506026023322
oct113367104533
928131427151
1010131114331
114329828168
121b68a81477
13c55c06210
146c17330b9
153e465b9c1
hex25bdc895b

10131114331 has 8 divisors (see below), whose sum is σ = 10914432480. Its totient is φ = 9348367872.

The previous prime is 10131114293. The next prime is 10131114341. The reversal of 10131114331 is 13341113101.

It is a happy number.

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 10131114331 - 221 = 10129017179 is a prime.

It is a super-2 number, since 2×101311143312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131114299 and 10131114308.

It is not an unprimeable number, because it can be changed into a prime (10131114341) 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, 105751 + ... + 177328.

It is an arithmetic number, because the mean of its divisors is an integer number (1364304060).

Almost surely, 210131114331 is an apocalyptic number.

10131114331 is a deficient number, since it is larger than the sum of its proper divisors (783318149).

10131114331 is a wasteful number, since it uses less digits than its factorization.

10131114331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285845.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10131114331 its reverse (13341113101), we get a palindrome (23472227432).

The spelling of 10131114331 in words is "ten billion, one hundred thirty-one million, one hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 13 2753 35789 283079 3680027 779316487 10131114331