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21120211220220 = 223257216721436691
BaseRepresentation
bin1001100110101011011101…
…01011111111011011111100
32202210001221211111122022100
410303111232223333123330
510232013143033021340
6112530254024145100
74306612344211500
oct463255653773374
982701854448270
1021120211220220
1168030386a3a12
1224512a4008190
13ba282044bcc8
1453031bab0300
152695b9dc6830
hex13356eaff6fc

21120211220220 has 432 divisors, whose sum is σ = 75016620177408. Its totient is φ = 4795613786880.

The previous prime is 21120211220209. The next prime is 21120211220231. The reversal of 21120211220220 is 2202211202112.

It is a happy number.

21120211220220 is a `hidden beast` number, since 2 + 1 + 12 + 0 + 211 + 220 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (21120211220209) and next prime (21120211220231).

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 = 21120211220193 and 21120211220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3156507075 + ... + 3156513765.

It is an arithmetic number, because the mean of its divisors is an integer number (173649583744).

Almost surely, 221120211220220 is an apocalyptic number.

21120211220220 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 21120211220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37508310088704).

21120211220220 is an abundant number, since it is smaller than the sum of its proper divisors (53896408957188).

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

21120211220220 is a wasteful number, since it uses less digits than its factorization.

21120211220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21120211220220 its reverse (2202211202112), we get a palindrome (23322422422332).

The spelling of 21120211220220 in words is "twenty-one trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty thousand, two hundred twenty".