Search a number
-
+
1332001200300 = 2235243103255907
BaseRepresentation
bin10011011000100001011…
…101010101100010101100
311201100010110020212022220
4103120201131111202230
5133310414301402200
62455525104235340
7165143142251421
oct23304135254254
94640113225286
101332001200300
11473997a52671
1219619860bb50
13987b7c67014
144867d6c1d48
15249ad59c4a0
hex136217558ac

1332001200300 has 72 divisors (see below), whose sum is σ = 3943549638336. Its totient is φ = 346939844160.

The previous prime is 1332001200281. The next prime is 1332001200323. The reversal of 1332001200300 is 30021002331.

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 1332001200300.

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 23 ways as a sum of consecutive naturals, for example, 51615054 + ... + 51640853.

Almost surely, 21332001200300 is an apocalyptic number.

1332001200300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332001200300 is an abundant number, since it is smaller than the sum of its proper divisors (2611548438036).

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

1332001200300 is a wasteful number, since it uses less digits than its factorization.

1332001200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103255967 (or 103255960 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1332001200300 its reverse (30021002331), we get a palindrome (1362022202631).

The spelling of 1332001200300 in words is "one trillion, three hundred thirty-two billion, one million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 12900 103255907 206511814 309767721 413023628 516279535 619535442 1032559070 1239070884 1548838605 2065118140 2581397675 3097677210 4440004001 5162795350 6195354420 7744193025 8880008002 10325590700 13320012003 15488386050 17760016004 22200020005 26640024006 30976772100 44400040010 53280048012 66600060015 88800080020 111000100025 133200120030 222000200050 266400240060 333000300075 444000400100 666000600150 1332001200300