Search a number
-
+
32212201133333 = 1313018093235337
BaseRepresentation
bin1110101001011111111001…
…10011100101010100010101
311020001110022200102002100202
413110233330303211110111
513210231041442231313
6152302025250550245
76533153241642464
oct724577463452425
9136043280362322
1032212201133333
11a29a132851101
123742b34b98385
1314c879ca1a3c0
147d51165349db
153acda747b558
hex1d4bfcce5515

32212201133333 has 16 divisors (see below), whose sum is σ = 34721164172016. Its totient is φ = 29707687027200.

The previous prime is 32212201133317. The next prime is 32212201133353. The reversal of 32212201133333 is 33333110221223.

It can be written as a sum of positive squares in 8 ways, for example, as 6486225895249 + 25725975238084 = 2546807^2 + 5072078^2 .

It is not a de Polignac number, because 32212201133333 - 24 = 32212201133317 is a prime.

It is a super-3 number, since 3×322122011333333 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32212201133296 and 32212201133305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32212201133353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136759241 + ... + 136994577.

It is an arithmetic number, because the mean of its divisors is an integer number (2170072760751).

Almost surely, 232212201133333 is an apocalyptic number.

It is an amenable number.

32212201133333 is a deficient number, since it is larger than the sum of its proper divisors (2508963038683).

32212201133333 is a wasteful number, since it uses less digits than its factorization.

32212201133333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244744.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 32212201133333 its reverse (33333110221223), we get a palindrome (65545311354556).

The spelling of 32212201133333 in words is "thirty-two trillion, two hundred twelve billion, two hundred one million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 13 1301 8093 16913 105209 235337 3059381 10528993 136876909 306173437 1904582341 3980254681 24759570433 2477861625641 32212201133333