Search a number
-
+
103324123222133 = 11236611091566311
BaseRepresentation
bin10111011111100100000101…
…101010010101000001110101
3111112211200121210121111011112
4113133210011222111001311
5102020330301021102013
61003430240311444405
730522631044263462
oct2737440552250165
9445750553544145
10103324123222133
112aa165729a4a70
12b708aa7986705
134586566485488
141b72cb29a0669
15be2a6e403ba8
hex5df905a95075

103324123222133 has 32 divisors (see below), whose sum is σ = 117904092493824. Its totient is φ = 89628751080000.

The previous prime is 103324123222121. The next prime is 103324123222139. The reversal of 103324123222133 is 331222321423301.

It is a de Polignac number, because none of the positive numbers 2k-103324123222133 is a prime.

It is a super-2 number, since 2×1033241232221332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103324123222133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103324123222139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182168048 + ... + 182734358.

It is an arithmetic number, because the mean of its divisors is an integer number (3684502890432).

Almost surely, 2103324123222133 is an apocalyptic number.

It is an amenable number.

103324123222133 is a deficient number, since it is larger than the sum of its proper divisors (14579969271691).

103324123222133 is a wasteful number, since it uses less digits than its factorization.

103324123222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568097.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 103324123222133 its reverse (331222321423301), we get a palindrome (434546444645434).

The spelling of 103324123222133 in words is "one hundred three trillion, three hundred twenty-four billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 11 23 253 661 1091 7271 12001 15203 25093 167233 276023 566311 721151 6229421 7932661 13025153 16586473 143276683 182451203 374331571 617845301 4117647281 6796298311 8609626133 14210441923 94705887463 156314861153 408395743961 4492353183571 9393102111103 103324123222133