Search a number
-
+
133210013321220 = 2235114316747280277
BaseRepresentation
bin11110010010011101011111…
…100001100100100000000100
3122110122202022212101200010020
4132102131133201210200010
5114430003101402234340
61151151500231455140
740026051211556103
oct3622353741444004
9573582285350106
10133210013321220
113949905a818590
1212b34babb274b0
13594385baa6ba4
1424c7582da603a
1510601713a19d0
hex79275f864804

133210013321220 has 192 divisors, whose sum is σ = 416385086616576. Its totient is φ = 31540332741120.

The previous prime is 133210013321183. The next prime is 133210013321221. The reversal of 133210013321220 is 22123310012331.

It is not an unprimeable number, because it can be changed into a prime (133210013321221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475139722 + ... + 475419998.

It is an arithmetic number, because the mean of its divisors is an integer number (2168672326128).

Almost surely, 2133210013321220 is an apocalyptic number.

133210013321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133210013321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208192543308288).

133210013321220 is an abundant number, since it is smaller than the sum of its proper divisors (283175073295356).

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

133210013321220 is a wasteful number, since it uses less digits than its factorization.

133210013321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297090 (or 297088 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133210013321220 its reverse (22123310012331), we get a palindrome (155333323333551).

The spelling of 133210013321220 in words is "one hundred thirty-three trillion, two hundred ten billion, thirteen million, three hundred twenty-one thousand, two hundred twenty".