Search a number
-
+
10103122333131 = 323201203727733
BaseRepresentation
bin1001001100000101000100…
…0001001000110111001011
31022202211220222002112220220
42103001101001020313023
52311012143304130011
633253151010321123
72061632534614662
oct223012101106713
938684828075826
1010103122333131
11324578a195223
1211720772891a3
135839497b2359
1426cdcab1bdd9
15127c13338506
hex93051048dcb

10103122333131 has 16 divisors (see below), whose sum is σ = 14056607206656. Its totient is φ = 6442529890016.

The previous prime is 10103122333063. The next prime is 10103122333133. The reversal of 10103122333131 is 13133322130101.

It is a cyclic number.

It is not a de Polignac number, because 10103122333131 - 221 = 10103120235979 is a prime.

It is a super-2 number, since 2×101031223331312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10103122333133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13519141 + ... + 14246873.

It is an arithmetic number, because the mean of its divisors is an integer number (878537950416).

Almost surely, 210103122333131 is an apocalyptic number.

10103122333131 is a deficient number, since it is larger than the sum of its proper divisors (3953484873525).

10103122333131 is a wasteful number, since it uses less digits than its factorization.

10103122333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928962.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10103122333131 its reverse (13133322130101), we get a palindrome (23236444463232).

The spelling of 10103122333131 in words is "ten trillion, one hundred three billion, one hundred twenty-two million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 23 69 201203 603609 727733 2183199 4627669 13883007 16737859 50213577 146422062799 439266188397 3367707444377 10103122333131