Search a number
-
+
211122212022040 = 235114153220811417
BaseRepresentation
bin110000000000001110111000…
…011100111010011100011000
31000200112002022221202201011111
4300000032320130322130120
5210133011242234201130
62025004112200510104
762320035140533324
oct6000167034723430
91020462287681144
10211122212022040
11612a7477818270
121b818a9577b334
1390a597bc4a977
143a1c5261cc984
151961b8e9e302a
hexc003b873a718

211122212022040 has 128 divisors (see below), whose sum is σ = 540864319705920. Its totient is φ = 73486039244800.

The previous prime is 211122212021957. The next prime is 211122212022041. The reversal of 211122212022040 is 40220212221112.

It is a super-2 number, since 2×2111222120220402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122212022041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109449589 + ... + 111361828.

Almost surely, 2211122212022040 is an apocalyptic number.

211122212022040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122212022040 is an abundant number, since it is smaller than the sum of its proper divisors (329742107683880).

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

211122212022040 is a wasteful number, since it uses less digits than its factorization.

211122212022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220811533 (or 220811529 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211122212022040 its reverse (40220212221112), we get a palindrome (251342424243152).

The spelling of 211122212022040 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 53 55 82 88 106 110 164 205 212 220 265 328 410 424 440 451 530 583 820 902 1060 1166 1640 1804 2120 2173 2255 2332 2915 3608 4346 4510 4664 5830 8692 9020 10865 11660 17384 18040 21730 23320 23903 43460 47806 86920 95612 119515 191224 239030 478060 956120 220811417 441622834 883245668 1104057085 1766491336 2208114170 2428925587 4416228340 4857851174 8832456680 9053268097 9715702348 11703005101 12144627935 18106536194 19431404696 23406010202 24289255870 36213072388 45266340485 46812020404 48578511740 58515025505 72426144776 90532680970 93624040808 97157023480 99585949067 117030051010 128733056111 181065361940 199171898134 234060102020 257466112222 362130723880 398343796268 468120204040 479823209141 497929745335 514932224444 643665280555 796687592536 959646418282 995859490670 1029864448888 1287330561110 1919292836564 1991718981340 2399116045705 2574661122220 3838585673128 3983437962680 4798232091410 5149322244440 5278055300551 9596464182820 10556110601102 19192928365640 21112221202204 26390276502755 42224442404408 52780553005510 105561106011020 211122212022040