Search a number
-
+
32213322130000 = 245411909132213
BaseRepresentation
bin1110101001100001111111…
…00111110110001001010000
311020001120012210202121200211
413110300333213312021100
513210240340431130000
6152302332413453504
76533223103155364
oct724607747661120
9136046183677624
1032213322130000
11a29a6585a7530
1237431a84a1294
1314c891b04003b
147d51c137b2a4
153ace20aad7ba
hex1d4c3f9f6250

32213322130000 has 200 divisors, whose sum is σ = 85093826834016. Its totient is φ = 11712283200000.

The previous prime is 32213322129949. The next prime is 32213322130009. The reversal of 32213322130000 is 3122331223.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×322133221300002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32213322130009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 999993894 + ... + 1000026106.

Almost surely, 232213322130000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32213322130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42546913417008).

32213322130000 is an abundant number, since it is smaller than the sum of its proper divisors (52880504704016).

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

32213322130000 is a wasteful number, since it uses less digits than its factorization.

32213322130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41343 (or 41322 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 32213322130000 its reverse (3122331223), we get a palindrome (32216444461223).

It can be divided in two parts, 32213 and 322130000, that multiplied together give a square (10376773690000 = 32213002).

The spelling of 32213322130000 in words is "thirty-two trillion, two hundred thirteen billion, three hundred twenty-two million, one hundred thirty thousand".