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202122422012 = 227217531318737
BaseRepresentation
bin1011110000111101101…
…1110110011011111100
3201022201020222220011002
42330033123312123330
511302421320001022
6232504224545432
720413532145200
oct2741733663374
9638636886132
10202122422012
11787a0924285
123320a482278
13160a1c5a9a4
149ad5d26b00
1553ce96a092
hex2f0f6f66fc

202122422012 has 144 divisors (see below), whose sum is σ = 447327020448. Its totient is φ = 79370403840.

The previous prime is 202122422003. The next prime is 202122422053. The reversal of 202122422012 is 210224221202.

It is a congruent number.

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, 23129708 + ... + 23138444.

It is an arithmetic number, because the mean of its divisors is an integer number (3106437642).

Almost surely, 2202122422012 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 202122422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223663510224).

202122422012 is an abundant number, since it is smaller than the sum of its proper divisors (245204598436).

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

202122422012 is a wasteful number, since it uses less digits than its factorization.

202122422012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202122422012 its reverse (210224221202), we get a palindrome (412346643214).

The spelling of 202122422012 in words is "two hundred two billion, one hundred twenty-two million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 131 196 212 238 262 371 476 524 742 833 901 917 1484 1666 1802 1834 2227 2597 3332 3604 3668 4454 5194 6307 6419 6943 8737 8908 10388 12614 12838 13886 15589 17474 25228 25676 27772 31178 34948 44149 48601 61159 62356 88298 97202 109123 118031 122318 148529 176596 194404 218246 236062 244636 297058 340207 428113 436492 463061 472124 594116 680414 826217 856226 926122 1039703 1144547 1360828 1652434 1712452 1852244 2079406 2289094 3241427 3304868 4158812 4578188 5783519 6482854 7277921 7872037 8011829 11567038 12965708 14555842 15744074 16023658 19457299 22689989 23134076 29111684 31488148 32047316 38914598 45379978 55104259 56082803 60660991 77829196 90759956 110208518 112165606 121321982 136201093 220417036 224331212 242643964 272402186 385729813 424626937 544804372 771459626 849253874 953407651 1031236847 1542919252 1698507748 1906815302 2062473694 2972388559 3813630604 4124947388 5944777118 7218657929 11889554236 14437315858 28874631716 50530605503 101061211006 202122422012