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2120231300220 = 22325114796723561
BaseRepresentation
bin11110110110100111101…
…000100010110001111100
321111200200120020201201100
4132312213220202301330
5234214213203101340
64302004255013100
7306116210460105
oct36664750426174
97450616221640
102120231300220
11748204327210
122a2ab920a190
13124c24644777
14748968053ac
153a243421830
hex1eda7a22c7c

2120231300220 has 288 divisors, whose sum is σ = 7173029799936. Its totient is φ = 502517836800.

The previous prime is 2120231300119. The next prime is 2120231300227. The reversal of 2120231300220 is 220031320212.

2120231300220 is a `hidden beast` number, since 2 + 120 + 23 + 1 + 300 + 220 = 666.

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 = 2120231300193 and 2120231300202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120231300227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89977240 + ... + 90000800.

It is an arithmetic number, because the mean of its divisors is an integer number (24906353472).

Almost surely, 22120231300220 is an apocalyptic number.

2120231300220 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 2120231300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586514899968).

2120231300220 is an abundant number, since it is smaller than the sum of its proper divisors (5052798499716).

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

2120231300220 is a wasteful number, since it uses less digits than its factorization.

2120231300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24601 (or 24596 counting only the distinct ones).

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

Adding to 2120231300220 its reverse (220031320212), we get a palindrome (2340262620432).

The spelling of 2120231300220 in words is "two trillion, one hundred twenty billion, two hundred thirty-one million, three hundred thousand, two hundred twenty".