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211222111020252 = 22341479134324123
BaseRepresentation
bin110000000001101011111010…
…111001010110010011011100
31000200212122012002100122000020
4300001223322321112103130
5210141130340410122002
62025122033115032140
762330202550155063
oct6001537271262334
91020778162318006
10211222111020252
1161335881138212
121b83431573b650
1390b220c855927
143a232c1a7b1da
151964589e2b2bc
hexc01afae564dc

211222111020252 has 48 divisors (see below), whose sum is σ = 515614328151552. Its totient is φ = 67228625537920.

The previous prime is 211222111020251. The next prime is 211222111020253. The reversal of 211222111020252 is 252020111222112.

211222111020252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211222111020251) and next prime (211222111020253).

It is a super-2 number, since 2×2112221110202522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222111020251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4567138938 + ... + 4567185185.

It is an arithmetic number, because the mean of its divisors is an integer number (10741965169824).

Almost surely, 2211222111020252 is an apocalyptic number.

It is an amenable number.

211222111020252 is an abundant number, since it is smaller than the sum of its proper divisors (304392217131300).

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

211222111020252 is a wasteful number, since it uses less digits than its factorization.

211222111020252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134324218 (or 9134324216 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 211222111020252 its reverse (252020111222112), we get a palindrome (463242222242364).

The spelling of 211222111020252 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 41 47 82 94 123 141 164 188 246 282 492 564 1927 3854 5781 7708 11562 23124 9134324123 18268648246 27402972369 36537296492 54805944738 109611889476 374507289043 429313233781 749014578086 858626467562 1123521867129 1287939701343 1498029156172 1717252935124 2247043734258 2575879402686 4494087468516 5151758805372 17601842585021 35203685170042 52805527755063 70407370340084 105611055510126 211222111020252