Search a number
-
+
921200331311 = 131721032380541
BaseRepresentation
bin11010110011110111101…
…00011000101000101111
310021001210000221111111022
431121323310120220233
5110043104241100221
61543105452044355
7123361126422431
oct15317364305057
93231700844438
10921200331311
11325751631567
1212a6501636bb
1368b3aa42c50
143282cc86651
1518e6884b4ab
hexd67bd18a2f

921200331311 has 24 divisors (see below), whose sum is σ = 1064083229664. Its totient is φ = 792548421120.

The previous prime is 921200331281. The next prime is 921200331313. The reversal of 921200331311 is 113133002129.

It is not a de Polignac number, because 921200331311 - 222 = 921196137007 is a prime.

It is a super-2 number, since 2×9212003313112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921200331313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803300 + ... + 1577241.

It is an arithmetic number, because the mean of its divisors is an integer number (44336801236).

Almost surely, 2921200331311 is an apocalyptic number.

921200331311 is a deficient number, since it is larger than the sum of its proper divisors (142882898353).

921200331311 is a wasteful number, since it uses less digits than its factorization.

921200331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380691 (or 2380674 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 921200331311 in words is "nine hundred twenty-one billion, two hundred million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 13 17 103 221 289 1339 1751 3757 22763 29767 386971 2380541 30947033 40469197 245195723 526099561 687976349 3187544399 4168327291 8943692537 54188254783 70861563947 921200331311