Search a number
-
+
133100300320 = 2551363990529
BaseRepresentation
bin111101111110101100…
…1010110100000100000
3110201112222200211010121
41323331121112200200
54140042134102240
6141051225210024
712421230612541
oct1737531264040
9421488624117
10133100300320
11514a17166a9
1221967030914
13c7222a6470
1466291404c8
1536e011b04a
hex1efd656820

133100300320 has 48 divisors (see below), whose sum is σ = 338637884760. Its totient is φ = 49144725504.

The previous prime is 133100300279. The next prime is 133100300321. The reversal of 133100300320 is 23003001331.

It can be written as a sum of positive squares in 4 ways, for example, as 109029398416 + 24070901904 = 330196^2 + 155148^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 133100300294 and 133100300303.

It is not an unprimeable number, because it can be changed into a prime (133100300321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31993185 + ... + 31997344.

Almost surely, 2133100300320 is an apocalyptic number.

133100300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133100300320 is an abundant number, since it is smaller than the sum of its proper divisors (205537584440).

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

133100300320 is a wasteful number, since it uses less digits than its factorization.

133100300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63990557 (or 63990549 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 133100300320 its reverse (23003001331), we get a palindrome (156103301651).

The spelling of 133100300320 in words is "one hundred thirty-three billion, one hundred million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 63990529 127981058 255962116 319952645 511924232 639905290 831876877 1023848464 1279810580 1663753754 2047696928 2559621160 3327507508 4159384385 5119242320 6655015016 8318768770 10238484640 13310030032 16637537540 26620060064 33275075080 66550150160 133100300320