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1210221300420 = 223251117291239803
BaseRepresentation
bin10001100111000110110…
…011111000101011000100
311021200210101212222012200
4101213012303320223010
5124312013123103140
62323545030314500
7153302261215506
oct21470663705304
94250711788180
101210221300420
11427285412410
121766707b8a30
138a17b0a9772
1442809c15d76
152173220e030
hex119c6cf8ac4

1210221300420 has 288 divisors, whose sum is σ = 4386525736320. Its totient is φ = 266607022080.

The previous prime is 1210221300383. The next prime is 1210221300433. The reversal of 1210221300420 is 240031220121.

It is a happy number.

1210221300420 is a `hidden beast` number, since 1 + 21 + 0 + 221 + 3 + 0 + 0 + 420 = 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 = 1210221300393 and 1210221300402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356239 + ... + 1596041.

It is an arithmetic number, because the mean of its divisors is an integer number (15230992140).

Almost surely, 21210221300420 is an apocalyptic number.

1210221300420 is a gapful number since it is divisible by the number (10) 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 1210221300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193262868160).

1210221300420 is an abundant number, since it is smaller than the sum of its proper divisors (3176304435900).

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

1210221300420 is a wasteful number, since it uses less digits than its factorization.

1210221300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239875 (or 1239870 counting only the distinct ones).

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

Adding to 1210221300420 its reverse (240031220121), we get a palindrome (1450252520541).

The spelling of 1210221300420 in words is "one trillion, two hundred ten billion, two hundred twenty-one million, three hundred thousand, four hundred twenty".