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13202221331 = 137313911719
BaseRepresentation
bin11000100101110100…
…11110100100010011
31021002002022022222102
430102322132210103
5204014232040311
610022013231015
7645110013125
oct142272364423
937062268872
1013202221331
115665345322
12268549246b
1313252560b0
148d3569215
1552409943b
hex312e9e913

13202221331 has 8 divisors (see below), whose sum is σ = 14412541920. Its totient is φ = 12019724352.

The previous prime is 13202221289. The next prime is 13202221337. The reversal of 13202221331 is 13312220231.

13202221331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13202221331 is a prime.

It is a super-2 number, since 2×132022213312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13202221337) 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 7 ways as a sum of consecutive naturals, for example, 6954911 + ... + 6956808.

It is an arithmetic number, because the mean of its divisors is an integer number (1801567740).

Almost surely, 213202221331 is an apocalyptic number.

13202221331 is a deficient number, since it is larger than the sum of its proper divisors (1210320589).

13202221331 is a wasteful number, since it uses less digits than its factorization.

13202221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13911805.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13202221331 its reverse (13312220231), we get a palindrome (26514441562).

The spelling of 13202221331 in words is "thirteen billion, two hundred two million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 13 73 949 13911719 180852347 1015555487 13202221331