Search a number
-
+
10000113031 = 173494873461
BaseRepresentation
bin10010101000000110…
…11001110110000111
3221210220222101011201
421110003121312013
5130440012104111
64332145043331
7502545362326
oct112403316607
927726871151
1010000113031
114271891a27
121b31026547
13c34a29a5c
146ac1920bd
153d7dd16c1
hex2540d9d87

10000113031 has 16 divisors (see below), whose sum is σ = 10643572800. Its totient is φ = 9362926080.

The previous prime is 10000113023. The next prime is 10000113037. The reversal of 10000113031 is 13031100001.

It is a cyclic number.

It is not a de Polignac number, because 10000113031 - 23 = 10000113023 is a prime.

It is a super-2 number, since 2×100001130312 (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 = 10000112999 and 10000113017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000113037) 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, 2887641 + ... + 2891101.

It is an arithmetic number, because the mean of its divisors is an integer number (665223300).

Almost surely, 210000113031 is an apocalyptic number.

10000113031 is a deficient number, since it is larger than the sum of its proper divisors (643459769).

10000113031 is a wasteful number, since it uses less digits than its factorization.

10000113031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10000113031 its reverse (13031100001), we get a palindrome (23031213032).

It can be divided in two parts, 100001 and 13031, that multiplied together give a palindrome (1303113031).

The spelling of 10000113031 in words is "ten billion, one hundred thirteen thousand, thirty-one".

Divisors: 1 17 349 487 3461 5933 8279 58837 169963 1207889 1685507 2889371 20534113 28653619 588241943 10000113031