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1210221010020 = 2235113182172047
BaseRepresentation
bin10001100111000110110…
…010110001110001100100
311021200210101100012212010
4101213012302301301210
5124312013034310040
62323545020154220
7153302255566041
oct21470662616144
94250711305763
101210221010020
11427285234210
12176670698970
138a17b007529
1442809b7c1c8
15217321a2e80
hex119c6cb1c64

1210221010020 has 192 divisors, whose sum is σ = 3820623593472. Its totient is φ = 283573056000.

The previous prime is 1210221009997. The next prime is 1210221010021. The reversal of 1210221010020 is 200101220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1210221009978 and 1210221010005.

It is not an unprimeable number, because it can be changed into a prime (1210221010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16761637 + ... + 16833683.

It is an arithmetic number, because the mean of its divisors is an integer number (19899081216).

Almost surely, 21210221010020 is an apocalyptic number.

1210221010020 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 1210221010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910311796736).

1210221010020 is an abundant number, since it is smaller than the sum of its proper divisors (2610402583452).

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

1210221010020 is a wasteful number, since it uses less digits than its factorization.

1210221010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72922 (or 72920 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1210221010020 its reverse (200101220121), we get a palindrome (1410322230141).

The spelling of 1210221010020 in words is "one trillion, two hundred ten billion, two hundred twenty-one million, ten thousand, twenty".