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220321132122 = 237132291070341
BaseRepresentation
bin1100110100110000101…
…0011010111001011010
3210001200120002011012110
43031030022122321122
512102204202211442
6245114130253150
721626522503110
oct3151412327132
9701616064173
10220321132122
118548a598573
12368491271b6
1317a123b3400
14a940cbbab0
155ae74c569c
hex334c29ae5a

220321132122 has 96 divisors (see below), whose sum is σ = 564113047680. Its totient is φ = 56102941440.

The previous prime is 220321132079. The next prime is 220321132123. The reversal of 220321132122 is 221231123022.

220321132122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220321132123) 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 47 ways as a sum of consecutive naturals, for example, 329329 + ... + 741012.

It is an arithmetic number, because the mean of its divisors is an integer number (5876177580).

Almost surely, 2220321132122 is an apocalyptic number.

220321132122 is an abundant number, since it is smaller than the sum of its proper divisors (343791915558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220321132122 is a wasteful number, since it uses less digits than its factorization.

220321132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070408 (or 1070395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220321132122 its reverse (221231123022), we get a palindrome (441552255144).

The spelling of 220321132122 in words is "two hundred twenty billion, three hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 169 174 182 203 273 338 377 406 507 546 609 754 1014 1131 1183 1218 2262 2366 2639 3549 4901 5278 7098 7917 9802 14703 15834 29406 34307 68614 102921 205842 1070341 2140682 3211023 6422046 7492387 13914433 14984774 22477161 27828866 31039889 41743299 44954322 62079778 83486598 93119667 97401031 180887629 186239334 194802062 217279223 292203093 361775258 403518557 434558446 542662887 584406186 651837669 807037114 1085325774 1210555671 1266213403 1303675338 2421111342 2532426806 2824629899 3798640209 5245741241 5649259798 7597280418 8473889697 10491482482 15737223723 16947779394 31474447446 36720188687 73440377374 110160566061 220321132122