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10221022210212 = 22331133199259151
BaseRepresentation
bin1001010010111100010001…
…1001011110100010100100
31100012010020121111212101000
42110233010121132202210
52314430123141211322
633423250042033300
72103305313212022
oct224570431364244
940163217455330
1010221022210212
113290790637970
121190a9b7a8830
13591ab8867928
142749b3185712
1512ad13c503ac
hex94bc465e8a4

10221022210212 has 96 divisors (see below), whose sum is σ = 28908923904000. Its totient is φ = 3097174212000.

The previous prime is 10221022209997. The next prime is 10221022210237. The reversal of 10221022210212 is 21201222012201.

It is a happy number.

10221022210212 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 22 + 210 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39310837 + ... + 39569987.

It is an arithmetic number, because the mean of its divisors is an integer number (301134624000).

Almost surely, 210221022210212 is an apocalyptic number.

10221022210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221022210212 is an abundant number, since it is smaller than the sum of its proper divisors (18687901693788).

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

10221022210212 is a wasteful number, since it uses less digits than its factorization.

10221022210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292374 (or 292366 counting only the distinct ones).

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

Adding to 10221022210212 its reverse (21201222012201), we get a palindrome (31422244222413).

The spelling of 10221022210212 in words is "ten trillion, two hundred twenty-one billion, twenty-two million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 33199 66398 99597 132796 199194 259151 298791 365189 398388 518302 597582 730378 777453 896373 1036604 1095567 1195164 1460756 1554906 1792746 2191134 2332359 2850661 3109812 3286701 3585492 4382268 4664718 5701322 6573402 6997077 8551983 9329436 9860103 11402644 13146804 13994154 17103966 19720206 25655949 27988308 34207932 39440412 51311898 76967847 102623796 153935694 307871388 8603554049 17207108098 25810662147 34414216196 51621324294 77431986441 94639094539 103242648588 154863972882 189278189078 232295959323 283917283617 309727945764 378556378156 464591918646 567834567234 851751850851 929183837292 1135669134468 1703503701702 2555255552553 3407007403404 5110511105106 10221022210212