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22000121002100 = 22524092011267479
BaseRepresentation
bin1010000000010010011010…
…11001011011100001110100
32212220012011020222220022002
411000021031121123201310
510340422221434031400
6114442414400354432
74430312336023523
oct500111531334164
985805136886262
1022000121002100
11701222084455a
122573930015a18
13c377aa933187
14560b50c084ba
152824187b5ed5
hex14024d65b874

22000121002100 has 72 divisors (see below), whose sum is σ = 47880963547200. Its totient is φ = 8774134329600.

The previous prime is 22000121002009. The next prime is 22000121002103. The reversal of 22000121002100 is 120012100022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000121002103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82116161 + ... + 82383639.

It is an arithmetic number, because the mean of its divisors is an integer number (665013382600).

Almost surely, 222000121002100 is an apocalyptic number.

22000121002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000121002100 is an abundant number, since it is smaller than the sum of its proper divisors (25880842545100).

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

22000121002100 is a wasteful number, since it uses less digits than its factorization.

22000121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269913 (or 269906 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22000121002100 its reverse (120012100022), we get a palindrome (22120133102122).

The spelling of 22000121002100 in words is "twenty-two trillion, one hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2011 2045 4022 4090 8044 8180 10055 10225 20110 20450 40220 40900 50275 100550 201100 267479 534958 822499 1069916 1337395 1644998 2674790 3289996 4112495 5349580 6686975 8224990 13373950 16449980 20562475 26747900 41124950 82249900 109398911 218797822 437595644 537900269 546994555 1075800538 1093989110 2151601076 2187978220 2689501345 2734972775 5379002690 5469945550 10758005380 10939891100 13447506725 26895013450 53790026900 220001210021 440002420042 880004840084 1100006050105 2200012100210 4400024200420 5500030250525 11000060501050 22000121002100