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20330212220100 = 223252233523185371
BaseRepresentation
bin1001001111101011111110…
…00100111101110011000100
32122222112211110000100000200
410213311333010331303010
510131042233312020400
6111123323124010500
74165544416414506
oct447657704756304
978875743010020
1020330212220100
116528aa3877482
12234416ab30a30
13b4619144cc53
14503db7a8bd76
15253c7eaddb00
hex127d7f13dcc4

20330212220100 has 216 divisors, whose sum is σ = 64120125861792. Its totient is φ = 5387771635200.

The previous prime is 20330212220081. The next prime is 20330212220107. The reversal of 20330212220100 is 102221203302.

20330212220100 is a `hidden beast` number, since 2 + 0 + 330 + 2 + 12 + 220 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20330212220107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109580415 + ... + 109765785.

Almost surely, 220330212220100 is an apocalyptic number.

20330212220100 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 20330212220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060062930896).

20330212220100 is an abundant number, since it is smaller than the sum of its proper divisors (43789913641692).

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

20330212220100 is a wasteful number, since it uses less digits than its factorization.

20330212220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186147 (or 186137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20330212220100 its reverse (102221203302), we get a palindrome (20432433423402).

The spelling of 20330212220100 in words is "twenty trillion, three hundred thirty billion, two hundred twelve million, two hundred twenty thousand, one hundred".