Search a number
-
+
1323121300 = 225217376481
BaseRepresentation
bin100111011011101…
…0011101010010100
310102012200112012121
41032313103222110
510202204340200
6335143025324
744534226334
oct11667235224
93365615177
101323121300
1161995a686
1230b13b244
13181172017
14c7a1d0c4
157b25ae1a
hex4edd3a94

1323121300 has 36 divisors (see below), whose sum is σ = 2887807356. Its totient is φ = 526182400.

The previous prime is 1323121279. The next prime is 1323121321. The reversal of 1323121300 is 31213231.

It is an interprime number because it is at equal distance from previous prime (1323121279) and next prime (1323121321).

It can be written as a sum of positive squares in 6 ways, for example, as 95179536 + 1227941764 = 9756^2 + 35042^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20941 + ... + 55540.

It is an arithmetic number, because the mean of its divisors is an integer number (80216871).

Almost surely, 21323121300 is an apocalyptic number.

1323121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323121300 is an abundant number, since it is smaller than the sum of its proper divisors (1564686056).

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

1323121300 is a wasteful number, since it uses less digits than its factorization.

1323121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76668 (or 76661 counting only the distinct ones).

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

The square root of 1323121300 is about 36374.7343632912. The cubic root of 1323121300 is about 1097.8252625320.

Adding to 1323121300 its reverse (31213231), we get a palindrome (1354334531).

The spelling of 1323121300 in words is "one billion, three hundred twenty-three million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 8650 17300 76481 152962 305924 382405 764810 1529620 1912025 3824050 7648100 13231213 26462426 52924852 66156065 132312130 264624260 330780325 661560650 1323121300