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1221311309 = 31476712511
BaseRepresentation
bin100100011001011…
…1011101101001101
310011010010001011012
41020302323231031
510000123430214
6321104535005
742156655241
oct11062735515
93133101135
101221311309
11577442299
122a1021465
1316604671a
14b82ba421
157234a03e
hex48cbbb4d

1221311309 has 16 divisors (see below), whose sum is σ = 1306853376. Its totient is φ = 1139410800.

The previous prime is 1221311261. The next prime is 1221311341. The reversal of 1221311309 is 9031131221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221311309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221311359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91364 + ... + 103874.

It is an arithmetic number, because the mean of its divisors is an integer number (81678336).

Almost surely, 21221311309 is an apocalyptic number.

It is an amenable number.

1221311309 is a deficient number, since it is larger than the sum of its proper divisors (85542067).

1221311309 is a wasteful number, since it uses less digits than its factorization.

1221311309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12656.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1221311309 is about 34947.2646855230. The cubic root of 1221311309 is about 1068.9124271264.

The spelling of 1221311309 in words is "one billion, two hundred twenty-one million, three hundred eleven thousand, three hundred nine".

Divisors: 1 31 47 67 1457 2077 3149 12511 97619 387841 588017 838237 18228527 25985347 39397139 1221311309