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21100223210022 = 23211431643384533
BaseRepresentation
bin1001100110000110001110…
…10011110010001000100110
32202201011100211112111222100
410303003013103302020212
510231201224120210042
6112513150403512530
74305304126012335
oct463030723621046
982634324474870
1021100223210022
1167a5610a14020
122449446088746
13ba09863b1838
1452d383229d1c
15268cea22824c
hex1330c74f2226

21100223210022 has 96 divisors (see below), whose sum is σ = 50066843613696. Its totient is φ = 6369234235200.

The previous prime is 21100223209963. The next prime is 21100223210023. The reversal of 21100223210022 is 22001232200112.

21100223210022 is a `hidden beast` number, since 211 + 0 + 0 + 223 + 210 + 0 + 22 = 666.

It is a super-2 number, since 2×211002232100222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21100223209977 and 21100223210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100223210023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54680068 + ... + 55064600.

It is an arithmetic number, because the mean of its divisors is an integer number (521529620976).

Almost surely, 221100223210022 is an apocalyptic number.

21100223210022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100223210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25033421806848).

21100223210022 is an abundant number, since it is smaller than the sum of its proper divisors (28966620403674).

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

21100223210022 is a wasteful number, since it uses less digits than its factorization.

21100223210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385626 (or 385623 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21100223210022 its reverse (22001232200112), we get a palindrome (43101455410134).

The spelling of 21100223210022 in words is "twenty-one trillion, one hundred billion, two hundred twenty-three million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 431 643 862 1286 1293 1929 2586 3858 3879 4741 5787 7073 7758 9482 11574 14146 14223 21219 28446 42438 42669 63657 85338 127314 277133 384533 554266 769066 831399 1153599 1662798 2307198 2494197 3048463 3460797 4229863 4988394 6096926 6921594 8459726 9145389 12689589 18290778 25379178 27436167 38068767 54872334 76137534 165733723 247254719 331467446 494509438 497201169 741764157 994402338 1483528314 1491603507 1823070953 2225292471 2719801909 2983207014 3646141906 4450584942 5439603818 5469212859 8159405727 10938425718 16318811454 16407638577 24478217181 32815277154 48956434362 106566783889 213133567778 319700351667 639400703334 959101055001 1172234622779 1918202110002 2344469245558 3516703868337 7033407736674 10550111605011 21100223210022