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201022221212022 = 23747831933634727
BaseRepresentation
bin101101101101010000100010…
…000101100101100101110110
3222100202112111020012000101010
4231231100202011211211312
5202322022002112241042
61551312200013413050
760225243016254330
oct5555204205454566
9870675436160333
10201022221212022
1159063055265781
121a66755319a186
13882241117c992
14378d755352450
1518390b157d59c
hexb6d422165976

201022221212022 has 128 divisors (see below), whose sum is σ = 475155634028544. Its totient is φ = 55506819166848.

The previous prime is 201022221211979. The next prime is 201022221212039. The reversal of 201022221212022 is 220212122220102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201022221212022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316389223 + ... + 317023949.

It is an arithmetic number, because the mean of its divisors is an integer number (3712153390848).

Almost surely, 2201022221212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201022221212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237577817014272).

201022221212022 is an abundant number, since it is smaller than the sum of its proper divisors (274133412816522).

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

201022221212022 is a wasteful number, since it uses less digits than its factorization.

201022221212022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636802.

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

Adding to 201022221212022 its reverse (220212122220102), we get a palindrome (421234343432124).

The spelling of 201022221212022 in words is "two hundred one trillion, twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 83 94 141 166 249 282 329 498 581 658 987 1162 1743 1933 1974 3486 3866 3901 5799 7802 11598 11703 13531 23406 27062 27307 40593 54614 81186 81921 90851 160439 163842 181702 272553 320878 481317 545106 634727 635957 962634 1123073 1269454 1271914 1904181 1907871 2246146 3369219 3808362 3815742 4443089 6738438 7540633 8886178 13329267 15081266 22621899 26658534 29832169 45243798 52682341 52784431 59664338 89496507 105364682 105568862 158047023 158353293 178993014 208825183 316094046 316706586 368776387 417650366 626475549 737552774 1106329161 1226927291 1252951098 2212658322 2453854582 2476070027 3680781873 4952140054 7361563746 7428210081 8588491037 14856420162 17176982074 17332490189 25765473111 34664980378 51530946222 51997470567 57665582677 101834965153 103994941134 115331165354 172996748031 203669930306 305504895459 345993496062 403659078739 611009790918 712844756071 807318157478 1210977236217 1425689512142 2138534268213 2421954472434 4277068536426 4786243362191 9572486724382 14358730086573 28717460173146 33503703535337 67007407070674 100511110606011 201022221212022