Search a number
-
+
321131000001300 = 223521070436666671
BaseRepresentation
bin100100100000100010010001…
…1001011100111001100010100
31120010000211020112110002111220
41021001010203023213030110
5314042402242000020200
63054553313401330340
7124432643355063036
oct11101044313471424
91503024215402456
10321131000001300
119335a98a6a6335
123002540a1969b0
1310a256a5a96848
145942b75313c56
15271d54a9a14a0
hex12411232e7314

321131000001300 has 36 divisors (see below), whose sum is σ = 929139026671296. Its totient is φ = 85634933333600.

The previous prime is 321131000001281. The next prime is 321131000001373. The reversal of 321131000001300 is 3100000131123.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 321131000001300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535218333036 + ... + 535218333635.

It is an arithmetic number, because the mean of its divisors is an integer number (25809417407536).

Almost surely, 2321131000001300 is an apocalyptic number.

321131000001300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321131000001300 is an abundant number, since it is smaller than the sum of its proper divisors (608008026669996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321131000001300 is a wasteful number, since it uses less digits than its factorization.

321131000001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070436666688 (or 1070436666681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 321131000001300 its reverse (3100000131123), we get a palindrome (324231000132423).

The spelling of 321131000001300 in words is "three hundred twenty-one trillion, one hundred thirty-one billion, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1070436666671 2140873333342 3211310000013 4281746666684 5352183333355 6422620000026 10704366666710 12845240000052 16056550000065 21408733333420 26760916666775 32113100000130 53521833333550 64226200000260 80282750000325 107043666667100 160565500000650 321131000001300