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211022122022202 = 231721491575202271
BaseRepresentation
bin101111111110110001101010…
…100111110111010100111010
31000200011111222111202220100110
4233332301222213313110322
5210124341301214202302
62024450120300445150
762306562621552531
oct5776615247672472
91020144874686313
10211022122022202
1161268a85600a37
121b8016018497b6
1390993ba8b93aa
143a1774d221318
15195e28292bb6c
hexbfec6a9f753a

211022122022202 has 96 divisors (see below), whose sum is σ = 454214530137600. Its totient is φ = 65339845309440.

The previous prime is 211022122022183. The next prime is 211022122022317. The reversal of 211022122022202 is 202220221220112.

It is a super-2 number, since 2×2110221220222022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37962327 + ... + 43164597.

It is an arithmetic number, because the mean of its divisors is an integer number (4731401355600).

Almost surely, 2211022122022202 is an apocalyptic number.

211022122022202 is an abundant number, since it is smaller than the sum of its proper divisors (243192408115398).

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

211022122022202 is a wasteful number, since it uses less digits than its factorization.

211022122022202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202616 (or 5202599 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211022122022202 its reverse (202220221220112), we get a palindrome (413242343242314).

The spelling of 211022122022202 in words is "two hundred eleven trillion, twenty-two billion, one hundred twenty-two million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 17 34 51 102 149 157 289 298 314 447 471 578 867 894 942 1734 2533 2669 5066 5338 7599 8007 15198 16014 23393 43061 45373 46786 70179 86122 90746 129183 136119 140358 258366 272238 397681 795362 1193043 2386086 5202271 6760577 10404542 13521154 15606813 20281731 31213626 40563462 88438607 176877214 265315821 530631642 775138379 816756547 1503456319 1550276758 1633513094 2325415137 2450269641 3006912638 4510368957 4650830274 4900539282 9020737914 13177352443 13884861299 26354704886 27769722598 39532057329 41654583897 79064114658 83309167794 121696725503 224014991531 236042642083 243393451006 365090176509 448029983062 472085284166 672044974593 708127926249 730180353018 1344089949186 1416255852498 2068844333551 4137688667102 6206533000653 12413066001306 35170353670367 70340707340734 105511061011101 211022122022202