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10012212220221 = 3317296141929429
BaseRepresentation
bin1001000110110010011001…
…0110100101000100111101
31022110011021021200022121000
42101230212112211010331
52303020002312021341
633143314035200513
72052233644453011
oct221544626450475
938404237608530
1010012212220221
113210178864902
121158525746139
135781bc265633
14268844dd0541
151256921338b6
hex91b265a513d

10012212220221 has 128 divisors (see below), whose sum is σ = 16553315520000. Its totient is φ = 5951669391360.

The previous prime is 10012212220217. The next prime is 10012212220303. The reversal of 10012212220221 is 12202221221001.

It is a happy number.

10012212220221 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 2 + 220 + 221 = 666.

It is not a de Polignac number, because 10012212220221 - 22 = 10012212220217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012212220194 and 10012212220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012212220211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340201135 + ... + 340230563.

It is an arithmetic number, because the mean of its divisors is an integer number (129322777500).

Almost surely, 210012212220221 is an apocalyptic number.

It is an amenable number.

10012212220221 is a deficient number, since it is larger than the sum of its proper divisors (6541103299779).

10012212220221 is a wasteful number, since it uses less digits than its factorization.

10012212220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29964 (or 29958 counting only the distinct ones).

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

Adding to 10012212220221 its reverse (12202221221001), we get a palindrome (22214433441222).

The spelling of 10012212220221 in words is "ten trillion, twelve billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 29 51 61 87 153 183 261 419 459 493 549 783 1037 1257 1479 1647 1769 3111 3771 4437 5307 7123 9333 11313 12151 13311 15921 21369 25559 27999 29429 30073 36453 47763 64107 76677 88287 90219 109359 192321 206567 230031 264861 270657 328077 434503 500293 619701 690093 741211 794583 811971 853441 1303509 1500879 1795169 1859103 2223633 2560323 3910527 4502637 5385507 5577309 6670899 7680969 11731581 12330751 12600587 13507911 14508497 16156521 20012697 23042907 30517873 36992253 37801761 43525491 48469563 52059901 91553619 110976759 113405283 130576473 156179703 209622767 274660857 332930277 340215849 357591779 391729419 468539109 628868301 752175811 823982571 885018317 1072775337 1405617327 1886604903 2256527433 2655054951 3218326011 5659814709 6079060243 6769582299 7965164853 9654978033 12786988787 18237180729 20308746897 21813098519 23895494559 38360966361 54711542187 65439295557 115082899083 164134626561 196317886671 345248697249 370822674823 588953660013 1112468024469 3337404073407 10012212220221