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1200221202213 = 3311172310335419
BaseRepresentation
bin10001011101110010110…
…000100010011100100101
311020201222110221100101000
4101131302300202130211
5124131023111432323
62315212441423513
7152466412614315
oct21356260423445
94221873840330
101200221202213
11423013640640
1217473b79ab99
13892463866a7
144213ba69445
1521349331e43
hex11772c22725

1200221202213 has 64 divisors (see below), whose sum is σ = 2143152691200. Its totient is φ = 654852084480.

The previous prime is 1200221202151. The next prime is 1200221202223. The reversal of 1200221202213 is 3122021220021.

1200221202213 is a `hidden beast` number, since 1 + 200 + 221 + 20 + 221 + 3 = 666.

It is not a de Polignac number, because 1200221202213 - 29 = 1200221201701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200221202223) 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, 5051583 + ... + 5283836.

It is an arithmetic number, because the mean of its divisors is an integer number (33486760800).

Almost surely, 21200221202213 is an apocalyptic number.

It is an amenable number.

1200221202213 is a deficient number, since it is larger than the sum of its proper divisors (942931488987).

1200221202213 is a wasteful number, since it uses less digits than its factorization.

1200221202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335479 (or 10335473 counting only the distinct ones).

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

Adding to 1200221202213 its reverse (3122021220021), we get a palindrome (4322242422234).

The spelling of 1200221202213 in words is "one trillion, two hundred billion, two hundred twenty-one million, two hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 11 17 23 27 33 51 69 99 153 187 207 253 297 391 459 561 621 759 1173 1683 2277 3519 4301 5049 6831 10557 12903 38709 116127 10335419 31006257 93018771 113689609 175702123 237714637 279056313 341068827 527106369 713143911 1023206481 1581319107 1932723353 2139431733 2614861007 3069619443 4041148829 4743957321 5798170059 6418295199 7844583021 12123446487 17394510177 23533749063 36370339461 44452637119 52183530531 70601247189 109111018383 133357911357 400073734071 1200221202213