Search a number
-
+
3121024201213 = 417397131137599
BaseRepresentation
bin101101011010101011100…
…010011111000111111101
3102001100220112122200212211
4231122223202133013331
5402113324143414323
610345440112100421
7441325613664622
oct55325342370775
912040815580784
103121024201213
11aa3689884386
12424a60834711
13198407c78b99
14ab0b628a349
15562b95ab70d
hex2d6ab89f1fd

3121024201213 has 64 divisors (see below), whose sum is σ = 3328981286400. Its totient is φ = 2923123507200.

The previous prime is 3121024201189. The next prime is 3121024201259.

3121024201213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3121024201213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121024201313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5210390688 + ... + 5210391286.

It is an arithmetic number, because the mean of its divisors is an integer number (52015332600).

Almost surely, 23121024201213 is an apocalyptic number.

It is an amenable number.

3121024201213 is a deficient number, since it is larger than the sum of its proper divisors (207957085187).

3121024201213 is a wasteful number, since it uses less digits than its factorization.

3121024201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 3121024201213 in words is "three trillion, one hundred twenty-one billion, twenty-four million, two hundred one thousand, two hundred thirteen".

Divisors: 1 41 73 97 131 137 599 2993 3977 5371 5617 7081 9563 10001 12707 13289 17947 24559 43727 58103 78469 82063 290321 392083 410041 520987 544849 735827 927611 970097 1310131 1740859 1792807 2382223 3217229 3364583 4241519 5728237 5990599 7611493 7960111 10750253 38032051 39773977 53715371 71375219 127082707 173902279 234857717 245614559 312071213 326364551 440760373 555638989 581088103 784768469 1042774541 5210390987 22781198549 23824612223 32175507229 42753756181 76122541493 3121024201213