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1220032300221 = 32719997314533
BaseRepresentation
bin10001110000001111100…
…101111000010010111101
311022122010011000101210200
4101300033211320102331
5124442111232101341
62332250342154113
7154100352305460
oct21601745702275
94278104011720
101220032300221
1143045a477809
1217854a422939
138b0828915a7
144309ac1b2d7
1521b086d6db6
hex11c0f9784bd

1220032300221 has 24 divisors (see below), whose sum is σ = 2024142307200. Its totient is φ = 693657984096.

The previous prime is 1220032300219. The next prime is 1220032300229.

1220032300221 is a `hidden beast` number, since 12 + 200 + 3 + 230 + 0 + 221 = 666.

1220032300221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1220032300221 - 21 = 1220032300219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220032300194 and 1220032300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220032300229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48644730 + ... + 48669803.

It is an arithmetic number, because the mean of its divisors is an integer number (84339262800).

Almost surely, 21220032300221 is an apocalyptic number.

It is an amenable number.

1220032300221 is a deficient number, since it is larger than the sum of its proper divisors (804110006979).

1220032300221 is a wasteful number, since it uses less digits than its factorization.

1220032300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97314745 (or 97314742 counting only the distinct ones).

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

The spelling of 1220032300221 in words is "one trillion, two hundred twenty billion, thirty-two million, three hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 199 597 1393 1791 4179 12537 97314533 291943599 681201731 875830797 2043605193 6130815579 19365592067 58096776201 135559144469 174290328603 406677433407 1220032300221