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201222022122 = 2331129107109171
BaseRepresentation
bin1011101101100111000…
…1000110001111101010
3201020101111201211201000
42323121301012033222
511244100314201442
6232235022135430
720352316652502
oct2733161061752
9636344654630
10201222022122
1178379649540
1232bb8a21576
1315c8a5542a4
149a4c504a02
15537a8aed4c
hex2ed9c463ea

201222022122 has 128 divisors (see below), whose sum is σ = 509352883200. Its totient is φ = 58322980800.

The previous prime is 201222022109. The next prime is 201222022153. The reversal of 201222022122 is 221220222102.

201222022122 is a `hidden beast` number, since 201 + 2 + 220 + 221 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201222022095 and 201222022104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1788597 + ... + 1897767.

It is an arithmetic number, because the mean of its divisors is an integer number (3979319400).

Almost surely, 2201222022122 is an apocalyptic number.

201222022122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254676441600).

201222022122 is an abundant number, since it is smaller than the sum of its proper divisors (308130861078).

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

201222022122 is a wasteful number, since it uses less digits than its factorization.

201222022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109329 (or 109323 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 201222022122 its reverse (221220222102), we get a palindrome (422442244224).

The spelling of 201222022122 in words is "two hundred one billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 107 174 198 214 261 297 319 321 522 594 638 642 783 957 963 1177 1566 1914 1926 2354 2871 2889 3103 3531 5742 5778 6206 7062 8613 9309 10593 17226 18618 21186 27927 31779 34133 55854 63558 68266 83781 102399 109171 167562 204798 218342 307197 327513 614394 655026 921591 982539 1200881 1843182 1965078 2401762 2947617 3165959 3602643 5895234 6331918 7205286 9497877 10807929 11681297 18995754 21615858 23362594 28493631 32423787 34825549 35043891 56987262 64847574 69651098 70087782 85480893 104476647 105131673 128494267 170961786 208953294 210263346 256988534 313429941 315395019 338757613 385482801 626859882 630790038 677515226 770965602 940289823 1016272839 1156448403 1880579646 2032545678 2312896806 3048818517 3469345209 3726333743 6097637034 6938690418 7452667486 9146455551 11179001229 18292911102 22358002458 33537003687 67074007374 100611011061 201222022122