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220331212321 = 112310928128433
BaseRepresentation
bin1100110100110011000…
…0110111111000100001
3210001201021001021122011
43031030300313320201
512102214242243241
6245115130312521
721630004255333
oct3151460677041
9701637037564
10220331212321
1185495252a10
1236850588741
1317a1450261c
14a942383453
155ae8317281
hex334cc37e21

220331212321 has 32 divisors (see below), whose sum is σ = 254022531840. Its totient is φ = 189152409600.

The previous prime is 220331212253. The next prime is 220331212349. The reversal of 220331212321 is 123212133022.

220331212321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220331212321 - 217 = 220331081249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220331212292 and 220331212301.

It is not an unprimeable number, because it can be changed into a prime (220331212351) 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 31 ways as a sum of consecutive naturals, for example, 7734921 + ... + 7763353.

It is an arithmetic number, because the mean of its divisors is an integer number (7938204120).

Almost surely, 2220331212321 is an apocalyptic number.

It is an amenable number.

220331212321 is a deficient number, since it is larger than the sum of its proper divisors (33691319519).

220331212321 is a wasteful number, since it uses less digits than its factorization.

220331212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28857.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 220331212321 its reverse (123212133022), we get a palindrome (343543345343).

The spelling of 220331212321 in words is "two hundred twenty billion, three hundred thirty-one million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 23 109 253 281 1199 2507 3091 6463 27577 28433 30629 71093 312763 336919 653959 704467 3099197 7193549 7749137 7989673 34091167 71281531 87886403 183762479 784096841 870874357 2021387269 9579617927 20030110211 220331212321