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220132201213320 = 233511292439451699
BaseRepresentation
bin110010000011010110000101…
…101010000010110110001000
31001212102102200121000000212020
4302003112011222002312020
5212323121222002311240
62100103200454244440
764240012105165344
oct6203260552026610
91055372617000766
10220132201213320
11641605a6828680
1220833118956720
1395aa4ba4b2116
143c50653822624
151a6b2251450d0
hexc83585a82d88

220132201213320 has 384 divisors, whose sum is σ = 747833074560000. Its totient is φ = 51407713244160.

The previous prime is 220132201213319. The next prime is 220132201213343. The reversal of 220132201213320 is 23312102231022.

It is a super-2 number, since 2×2201322012133202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 487116831 + ... + 487568529.

It is an arithmetic number, because the mean of its divisors is an integer number (1947481965000).

Almost surely, 2220132201213320 is an apocalyptic number.

220132201213320 is a gapful number since it is divisible by the number (20) 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 220132201213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373916537280000).

220132201213320 is an abundant number, since it is smaller than the sum of its proper divisors (527700873346680).

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

220132201213320 is a wasteful number, since it uses less digits than its factorization.

220132201213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452221 (or 452188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 220132201213320 its reverse (23312102231022), we get a palindrome (243444303444342).

The spelling of 220132201213320 in words is "two hundred twenty trillion, one hundred thirty-two billion, two hundred one million, two hundred thirteen thousand, three hundred twenty".