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10222110010 = 2573191011553
BaseRepresentation
bin10011000010100100…
…10000010100111010
3222101101200222210001
421201102100110322
5131413330010020
64410155143214
7511212334000
oct114122202472
928341628701
1010222110010
114376129602
121b93444b0a
13c6ba16408
146cd85ca70
153ec63350a
hex26149053a

10222110010 has 128 divisors (see below), whose sum is σ = 22825152000. Its totient is φ = 3285273600.

The previous prime is 10222110007. The next prime is 10222110011. The reversal of 10222110010 is 1001122201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10222110011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6581394 + ... + 6582946.

It is an arithmetic number, because the mean of its divisors is an integer number (178321500).

Almost surely, 210222110010 is an apocalyptic number.

10222110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10222110010 is an abundant number, since it is smaller than the sum of its proper divisors (12603041990).

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

10222110010 is a wasteful number, since it uses less digits than its factorization.

10222110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10222110010 its reverse (1001122201), we get a palindrome (11223232211).

The spelling of 10222110010 in words is "ten billion, two hundred twenty-two million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 101 133 190 202 245 266 343 490 505 665 686 707 931 1010 1330 1414 1553 1715 1862 1919 3106 3430 3535 3838 4655 4949 6517 7070 7765 9310 9595 9898 10871 13034 13433 15530 19190 21742 24745 26866 29507 32585 34643 49490 54355 59014 65170 67165 69286 76097 94031 108710 134330 147535 152194 156853 173215 188062 206549 295070 313706 346430 380485 413098 470155 532679 658217 760970 784265 940310 1032745 1065358 1097971 1316434 1445843 1568530 2065490 2195942 2663395 2891686 2980207 3291085 5326790 5489855 5960414 6582170 7229215 7685797 10120901 10979710 14458430 14901035 15371594 20241802 20861449 29802070 38428985 41722898 50604505 53800579 76857970 101209010 104307245 107601158 146030143 208614490 269002895 292060286 538005790 730150715 1022211001 1460301430 2044422002 5111055005 10222110010