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221002110201222 = 23377138921168821
BaseRepresentation
bin110010010000000000010000…
…010001011110110110000110
31001222111121002001020022121000
4302100000100101132312012
5212431344310202414342
62102010545015034130
764356606212450550
oct6220002021366606
91058447061208530
10221002110201222
1164466517771729
122095383366b946
139641542a8b60c
143c807b866c4d0
151a83b8aa6b44c
hexc9001045ed86

221002110201222 has 128 divisors (see below), whose sum is σ = 570643700889600. Its totient is φ = 62094076329600.

The previous prime is 221002110201203. The next prime is 221002110201259. The reversal of 221002110201222 is 222102011200122.

It is a happy number.

221002110201222 is a `hidden beast` number, since 2 + 210 + 0 + 21 + 10 + 201 + 222 = 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 = 221002110201195 and 221002110201204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144429 + ... + 21024392.

It is an arithmetic number, because the mean of its divisors is an integer number (4458153913200).

Almost surely, 2221002110201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002110201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285321850444800).

221002110201222 is an abundant number, since it is smaller than the sum of its proper divisors (349641590688378).

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

221002110201222 is a wasteful number, since it uses less digits than its factorization.

221002110201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21169299 (or 21169293 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221002110201222 its reverse (222102011200122), we get a palindrome (443104121401344).

The spelling of 221002110201222 in words is "two hundred twenty-one trillion, two billion, one hundred ten million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 378 389 426 497 639 778 994 1167 1278 1491 1917 2334 2723 2982 3501 3834 4473 5446 7002 8169 8946 10503 13419 16338 21006 24507 26838 27619 49014 55238 73521 82857 147042 165714 193333 248571 386666 497142 579999 745713 1159998 1491426 1739997 3479994 5219991 10439982 21168821 42337642 63506463 127012926 148181747 190519389 296363494 381038778 444545241 571558167 889090482 1143116334 1333635723 1502986291 2667271446 3005972582 4000907169 4508958873 8001814338 8234671369 9017917746 10520904037 13526876619 16469342738 21041808074 24704014107 27053753238 31562712111 40580629857 49408028214 57642699583 63125424222 74112042321 81161259714 94688136333 115285399166 148224084642 172928098749 189376272666 222336126963 284064408999 345856197498 444672253926 518784296247 568128817998 584661667199 1037568592494 1169323334398 1556352888741 1753985001597 3112705777482 3507970003194 4092631670393 5261955004791 8185263340786 10523910009582 12277895011179 15785865014373 24555790022358 31571730028746 36833685033537 73667370067074 110501055100611 221002110201222