Search a number
-
+
1321231300 = 225229455597
BaseRepresentation
bin100111011000000…
…0110001111000100
310102002010111121121
41032300012033010
510201213400200
6335034323324
744512165204
oct11660061704
93362114547
101321231300
116188896a4
1230a589544
1318095c98c
14c768a404
157aed5e1a
hex4ec063c4

1321231300 has 36 divisors (see below), whose sum is σ = 2965942980. Its totient is φ = 510267520.

The previous prime is 1321231283. The next prime is 1321231321. The reversal of 1321231300 is 31321231.

It can be written as a sum of positive squares in 6 ways, for example, as 2669956 + 1318561344 = 1634^2 + 36312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224899 + ... + 230698.

It is an arithmetic number, because the mean of its divisors is an integer number (82387305).

Almost surely, 21321231300 is an apocalyptic number.

1321231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321231300 is an abundant number, since it is smaller than the sum of its proper divisors (1644711680).

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

1321231300 is a wasteful number, since it uses less digits than its factorization.

1321231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455640 (or 455633 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1321231300 is about 36348.7455079264. The cubic root of 1321231300 is about 1097.3022874319.

Adding to 1321231300 its reverse (31321231), we get a palindrome (1352552531).

The spelling of 1321231300 in words is "one billion, three hundred twenty-one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 455597 911194 1822388 2277985 4555970 9111940 11389925 13212313 22779850 26424626 45559700 52849252 66061565 132123130 264246260 330307825 660615650 1321231300