Search a number
-
+
12100121313 = 372325052011
BaseRepresentation
bin10110100010011100…
…10011001011100001
31011020021111211222020
423101032103023201
5144240112340223
65320403332053
7605565222420
oct132116231341
934207454866
1012100121313
11514a226265
122418381029
1311aab1b5c7
1482b0412b7
154ac44b1e3
hex2d13932e1

12100121313 has 16 divisors (see below), whose sum is σ = 19239945216. Its totient is φ = 6613730640.

The previous prime is 12100121309. The next prime is 12100121317. The reversal of 12100121313 is 31312100121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12100121309) and next prime (12100121317).

It is not a de Polignac number, because 12100121313 - 22 = 12100121309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100121292 and 12100121301.

It is not an unprimeable number, because it can be changed into a prime (12100121317) 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, 12525523 + ... + 12526488.

It is an arithmetic number, because the mean of its divisors is an integer number (1202496576).

Almost surely, 212100121313 is an apocalyptic number.

It is an amenable number.

12100121313 is a deficient number, since it is larger than the sum of its proper divisors (7139823903).

12100121313 is a wasteful number, since it uses less digits than its factorization.

12100121313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25052044.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12100121313 its reverse (31312100121), we get a palindrome (43412221434).

It can be divided in two parts, 12100121 and 313, that multiplied together give a palindrome (3787337873).

The spelling of 12100121313 in words is "twelve billion, one hundred million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 7 21 23 69 161 483 25052011 75156033 175364077 526092231 576196253 1728588759 4033373771 12100121313