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332011301220 = 223353494394013
BaseRepresentation
bin1001101010011010110…
…10100110100101100100
31011201222102211121201000
410311031122212211210
520414424343114340
6412305054233300
732662356332214
oct4651532464544
91151872747630
10332011301220
111188947a6745
1254419ab5830
1325401ac6c71
14120d8748244
158982b7dd30
hex4d4d6a6964

332011301220 has 192 divisors, whose sum is σ = 1038502080000. Its totient is φ = 88059612672.

The previous prime is 332011301147. The next prime is 332011301243. The reversal of 332011301220 is 22103110233.

332011301220 is a `hidden beast` number, since 332 + 0 + 11 + 301 + 2 + 20 = 666.

It is a super-2 number, since 2×3320113012202 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332011301193 and 332011301202.

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, 82731934 + ... + 82735946.

It is an arithmetic number, because the mean of its divisors is an integer number (5408865000).

Almost surely, 2332011301220 is an apocalyptic number.

332011301220 is a gapful number since it is divisible by the number (30) 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 332011301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519251040000).

332011301220 is an abundant number, since it is smaller than the sum of its proper divisors (706490778780).

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

332011301220 is a wasteful number, since it uses less digits than its factorization.

332011301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 332011301220 its reverse (22103110233), we get a palindrome (354114411453).

The spelling of 332011301220 in words is "three hundred thirty-two billion, eleven million, three hundred one thousand, two hundred twenty".