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22121201331 = 34316986179
BaseRepresentation
bin10100100110100001…
…101011111010110011
32010002122221110110000
4110212201223322303
5330301011420311
614055022041043
71412120052225
oct244641537263
963078843400
1022121201331
119421928a79
124354419183
132116ca9958
1410dbcd0415
158970c0056
hex52686beb3

22121201331 has 20 divisors (see below), whose sum is σ = 33056062600. Its totient is φ = 14742642816.

The previous prime is 22121201273. The next prime is 22121201357. The reversal of 22121201331 is 13310212122.

22121201331 is a `hidden beast` number, since 2 + 212 + 120 + 1 + 331 = 666.

It is not a de Polignac number, because 22121201331 - 27 = 22121201203 is a prime.

It is a super-2 number, since 2×221212013312 (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 (22121201731) 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 19 ways as a sum of consecutive naturals, for example, 213600 + ... + 299778.

It is an arithmetic number, because the mean of its divisors is an integer number (1652803130).

Almost surely, 222121201331 is an apocalyptic number.

22121201331 is a deficient number, since it is larger than the sum of its proper divisors (10934861269).

22121201331 is an equidigital number, since it uses as much as digits as its factorization.

22121201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89360 (or 89351 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22121201331 its reverse (13310212122), we get a palindrome (35431413453).

The spelling of 22121201331 in words is "twenty-two billion, one hundred twenty-one million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 3169 9507 28521 85563 86179 256689 258537 775611 2326833 6980499 273101251 819303753 2457911259 7373733777 22121201331