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220323003120 = 243251137751853
BaseRepresentation
bin1100110100110001000…
…1100011101011110000
3210001200200121012201200
43031030101203223300
512102210142044440
6245114234331200
721626544424653
oct3151421435360
9701620535650
10220323003120
1185490656250
1236849889b00
1317a128b9bcc
14a94124789a
155ae7744c30
hex334c463af0

220323003120 has 240 divisors, whose sum is σ = 829000235232. Its totient is φ = 51968010240.

The previous prime is 220323003113. The next prime is 220323003133. The reversal of 220323003120 is 21300323022.

It is a happy number.

220323003120 is a `hidden beast` number, since 2 + 20 + 32 + 300 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 220323003093 and 220323003102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82887 + ... + 668966.

Almost surely, 2220323003120 is an apocalyptic number.

220323003120 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 220323003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414500117616).

220323003120 is an abundant number, since it is smaller than the sum of its proper divisors (608677232112).

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

220323003120 is a wasteful number, since it uses less digits than its factorization.

220323003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751920 (or 751911 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220323003120 its reverse (21300323022), we get a palindrome (241623326142).

The spelling of 220323003120 in words is "two hundred twenty billion, three hundred twenty-three million, three thousand, one hundred twenty".