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211222012110100 = 225210333161954657
BaseRepresentation
bin110000000001101011110101…
…000000000010010100010100
31000200212121221012020110210021
4300001223311000002110110
5210141130140100010400
62025122015223034524
762330200236352225
oct6001536500022424
91020777835213707
10211222012110100
1161335830320592
121b8342a859ba44
1390b21c5204204
143a232b289124c
1519645813de71a
hexc01af5002514

211222012110100 has 72 divisors (see below), whose sum is σ = 464199983619008. Its totient is φ = 83415748838400.

The previous prime is 211222012110079. The next prime is 211222012110127. The reversal of 211222012110100 is 1011210222112.

It is a super-2 number, since 2×2112220121101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27568029 + ... + 34386628.

Almost surely, 2211222012110100 is an apocalyptic number.

211222012110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222012110100 is an abundant number, since it is smaller than the sum of its proper divisors (252977971508908).

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

211222012110100 is a wasteful number, since it uses less digits than its factorization.

211222012110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61955105 (or 61955098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211222012110100 its reverse (1011210222112), we get a palindrome (212233222332212).

The spelling of 211222012110100 in words is "two hundred eleven trillion, two hundred twenty-two billion, twelve million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 331 412 515 662 1030 1324 1655 2060 2575 3310 5150 6620 8275 10300 16550 33100 34093 68186 136372 170465 340930 681860 852325 1704650 3409300 61954657 123909314 247818628 309773285 619546570 1239093140 1548866425 3097732850 6195465700 6381329671 12762659342 20506991467 25525318684 31906648355 41013982934 63813296710 82027965868 102534957335 127626593420 159533241775 205069914670 319066483550 410139829340 512674786675 638132967100 1025349573350 2050699146700 2112220121101 4224440242202 8448880484404 10561100605505 21122201211010 42244402422020 52805503027525 105611006055050 211222012110100