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211221112022000 = 2453105610556011
BaseRepresentation
bin110000000001101010111111…
…010110011110001111110000
31000200212112121110120021000222
4300001222333112132033300
5210141121314134201000
62025121350031032212
762330136026625533
oct6001527726361760
91020775543507028
10211221112022000
1161335409239023
121b83409706b668
1390b20b08a96c2
143a23229110a1a
15196452c396a85
hexc01abf59e3f0

211221112022000 has 40 divisors (see below), whose sum is σ = 510732648874032. Its totient is φ = 84488444808000.

The previous prime is 211221112021981. The next prime is 211221112022051. The reversal of 211221112022000 is 220211122112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2112211120220002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221112022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52805276006 + ... + 52805280005.

Almost surely, 2211221112022000 is an apocalyptic number.

211221112022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221112022000 is an abundant number, since it is smaller than the sum of its proper divisors (299511536852032).

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

211221112022000 is a wasteful number, since it uses less digits than its factorization.

211221112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105610556034 (or 105610556018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211221112022000 its reverse (220211122112), we get a palindrome (211441323144112).

The spelling of 211221112022000 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 105610556011 211221112022 422442224044 528052780055 844884448088 1056105560110 1689768896176 2112211120220 2640263900275 4224422240440 5280527800550 8448844480880 10561055601100 13201319501375 21122111202200 26402639002750 42244222404400 52805278005500 105610556011000 211221112022000