Search a number
-
+
2132322111000 = 233353233433691
BaseRepresentation
bin11111000001111000010…
…011010100111000011000
321112211220012020120001000
4133001320103110320120
5234413443430023000
64311324131025000
7310024633614234
oct37017023247030
97484805216030
102132322111000
11752349273314
122a531243b160
13126100553283
14752c25015c4
153a6eeb2e000
hex1f0784d4e18

2132322111000 has 256 divisors, whose sum is σ = 7713445708800. Its totient is φ = 543896496000.

The previous prime is 2132322110957. The next prime is 2132322111061. The reversal of 2132322111000 is 1112232312.

2132322111000 is a `hidden beast` number, since 21 + 323 + 221 + 1 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1095846 + ... + 2337845.

It is an arithmetic number, because the mean of its divisors is an integer number (30130647300).

Almost surely, 22132322111000 is an apocalyptic number.

2132322111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132322111000 is an abundant number, since it is smaller than the sum of its proper divisors (5581123597800).

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

2132322111000 is a wasteful number, since it uses less digits than its factorization.

2132322111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433744 (or 3433724 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2132322111000 its reverse (1112232312), we get a palindrome (2133434343312).

It can be divided in two parts, 213232 and 2111000, that added together give a palindrome (2324232).

The spelling of 2132322111000 in words is "two trillion, one hundred thirty-two billion, three hundred twenty-two million, one hundred eleven thousand".