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22121102011000 = 235396293229727
BaseRepresentation
bin1010000011110011110000…
…11011010110101001111000
32220022202102122002221000111
411001321320123112221320
510344413004103323000
6115014143255314104
74442124346442266
oct501717033265170
986282378087014
1022121102011000
117059563431133
12259327437b934
13c4601b138585
1456694a557436
1528564994acba
hex141e786d6a78

22121102011000 has 64 divisors (see below), whose sum is σ = 51764141594880. Its totient is φ = 8848310396800.

The previous prime is 22121102010923. The next prime is 22121102011007. The reversal of 22121102011000 is 11020112122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121102011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96178137 + ... + 96407863.

It is an arithmetic number, because the mean of its divisors is an integer number (808814712420).

Almost surely, 222121102011000 is an apocalyptic number.

22121102011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121102011000 is an abundant number, since it is smaller than the sum of its proper divisors (29643039583880).

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

22121102011000 is a wasteful number, since it uses less digits than its factorization.

22121102011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326041 (or 326027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22121102011000 its reverse (11020112122), we get a palindrome (22132122123122).

The spelling of 22121102011000 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 96293 192586 229727 385172 459454 481465 770344 918908 962930 1148635 1837816 1925860 2297270 2407325 3851720 4594540 4814650 5743175 9189080 9629300 11486350 12036625 19258600 22972700 24073250 28715875 45945400 48146500 57431750 96293000 114863500 229727000 22121102011 44242204022 88484408044 110605510055 176968816088 221211020110 442422040220 553027550275 884844080440 1106055100550 2212110201100 2765137751375 4424220402200 5530275502750 11060551005500 22121102011000