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1221302313 = 33721183921
BaseRepresentation
bin100100011001011…
…1001100000101001
310011010002120211000
41020302321200221
510000123133223
6321104425213
742156620100
oct11062714051
93133076730
101221302313
11577436560
122a1018209
131660425ba
14b82b7037
1572347543
hex48cb9829

1221302313 has 48 divisors (see below), whose sum is σ = 2296105920. Its totient is φ = 634435200.

The previous prime is 1221302281. The next prime is 1221302333. The reversal of 1221302313 is 3132031221.

It is not a de Polignac number, because 1221302313 - 25 = 1221302281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1221302333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27408 + ... + 56513.

It is an arithmetic number, because the mean of its divisors is an integer number (47835540).

Almost surely, 21221302313 is an apocalyptic number.

It is an amenable number.

1221302313 is a deficient number, since it is larger than the sum of its proper divisors (1074803607).

1221302313 is a wasteful number, since it uses less digits than its factorization.

1221302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83955 (or 83942 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1221302313 is about 34947.1359770726. The cubic root of 1221302313 is about 1068.9098026359.

Adding to 1221302313 its reverse (3132031221), we get a palindrome (4353333534).

The spelling of 1221302313 in words is "one billion, two hundred twenty-one million, three hundred two thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 83921 251763 587447 755289 923131 1762341 2265867 2769393 4112129 5287023 6461917 8308179 12336387 15861069 19385751 24924537 37009161 45233419 58157253 111027483 135700257 174471759 407100771 1221302313