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201220322212 = 2272131372772081
BaseRepresentation
bin1011101101100110101…
…0100111001110100100
3201020101101112110212101
42323121222213032210
511244044400302322
6232234521501444
720352266342500
oct2733152471644
9636341473771
10201220322212
1178378698358
1232bb8341884
1315c8a0aa620
149a4c1c1300
15537a676327
hex2ed9aa73a4

201220322212 has 144 divisors (see below), whose sum is σ = 446175314928. Its totient is φ = 78699479040.

The previous prime is 201220322153. The next prime is 201220322221. The reversal of 201220322212 is 212223022102.

It can be written as a sum of positive squares in 8 ways, for example, as 29249208576 + 171971113636 = 171024^2 + 414694^2 .

It is a super-2 number, since 2×2012203222122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201220322212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96693012 + ... + 96695092.

It is an arithmetic number, because the mean of its divisors is an integer number (3098439687).

Almost surely, 2201220322212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223087657464).

201220322212 is an abundant number, since it is smaller than the sum of its proper divisors (244954992716).

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

201220322212 is a wasteful number, since it uses less digits than its factorization.

201220322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 201220322212 its reverse (212223022102), we get a palindrome (413443344314).

The spelling of 201220322212 in words is "two hundred one billion, two hundred twenty million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 137 182 196 274 277 364 548 554 637 959 1108 1274 1781 1918 1939 2081 2548 3562 3601 3836 3878 4162 6713 7124 7202 7756 8324 12467 13426 13573 14404 14567 24934 25207 26852 27053 27146 29134 37949 49868 50414 54106 54292 58268 75898 87269 100828 101969 108212 151796 174538 176449 189371 203938 265643 285097 349076 352898 378742 407876 493337 531286 570194 576437 705796 757484 986674 1062572 1140388 1152874 1325597 1859501 1973348 1995679 2305748 2651194 3453359 3706261 3719002 3991358 4035059 5302388 6906718 7412522 7438004 7493681 7982716 8070118 13813436 13969753 14825044 14987362 16140236 24173513 25943827 27939506 28245413 29974724 48347026 51887654 52455767 55879012 56490826 78971869 96694052 103775308 104911534 112981652 157943738 181606789 209823068 315887476 363213578 367190369 552803083 726427156 734380738 1026634297 1105606166 1468761476 2053268594 2211212332 3869621581 4106537188 7186440079 7739243162 14372880158 15478486324 28745760316 50305080553 100610161106 201220322212