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10034343131 = 374346113681
BaseRepresentation
bin10010101100001011…
…11110110011011011
3221220022101110001012
421112011332303123
5131022242440011
64335410444135
7503442336461
oct112605766333
927808343035
1010034343131
11428a14156a
121b4059364b
13c3bb53257
146b2942831
153dade3a8b
hex25617ecdb

10034343131 has 16 divisors (see below), whose sum is σ = 10568852448. Its totient is φ = 9514713600.

The previous prime is 10034343127. The next prime is 10034343133. The reversal of 10034343131 is 13134343001.

10034343131 is digitally balanced in base 3, 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 10034343131 - 22 = 10034343127 is a prime.

It is a super-2 number, since 2×100343431312 (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 = 10034343097 and 10034343106.

It is not an unprimeable number, because it can be changed into a prime (10034343133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726611 + ... + 740291.

It is an arithmetic number, because the mean of its divisors is an integer number (660553278).

Almost surely, 210034343131 is an apocalyptic number.

10034343131 is a deficient number, since it is larger than the sum of its proper divisors (534509317).

10034343131 is a wasteful number, since it uses less digits than its factorization.

10034343131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14222.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10034343131 its reverse (13134343001), we get a palindrome (23168686132).

The spelling of 10034343131 in words is "ten billion, thirty-four million, three hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 37 43 461 1591 13681 17057 19823 506197 588283 733451 6306941 21766471 233356817 271198463 10034343131