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2120211223020 = 22325113153976719
BaseRepresentation
bin11110110110100110011…
…011111101000111101100
321111200122011110200222100
4132312212123331013230
5234214143033114040
64302002300415100
7306115545020022
oct36664633750754
97450564420870
102120211223020
117481a3a63990
122a2ab2547490
13124c20435177
1474893c9a712
153a2417a7b30
hex1eda66fd1ec

2120211223020 has 576 divisors, whose sum is σ = 7456121487360. Its totient is φ = 482922086400.

The previous prime is 2120211222937. The next prime is 2120211223021. The reversal of 2120211223020 is 203221120212.

2120211223020 is a `hidden beast` number, since 212 + 0 + 211 + 223 + 0 + 20 = 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 = 2120211222984 and 2120211223002.

It is not an unprimeable number, because it can be changed into a prime (2120211223021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315551221 + ... + 315557939.

It is an arithmetic number, because the mean of its divisors is an integer number (12944655360).

Almost surely, 22120211223020 is an apocalyptic number.

2120211223020 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 2120211223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728060743680).

2120211223020 is an abundant number, since it is smaller than the sum of its proper divisors (5335910264340).

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

2120211223020 is a wasteful number, since it uses less digits than its factorization.

2120211223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2120211223020 its reverse (203221120212), we get a palindrome (2323432343232).

The spelling of 2120211223020 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-three thousand, twenty".