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22021200000100 = 2252724494122449
BaseRepresentation
bin1010000000111001101011…
…10011011011010001100100
32212222012120021211221112201
411000130311303123101210
510341243404200000400
6114500222152424244
74431656602402300
oct500346563332144
985865507757481
1022021200000100
117020158343764
122577a333a8084
13c39789a17262
14561b90522d00
15282c4e11a06a
hex140735cdb464

22021200000100 has 54 divisors (see below), whose sum is σ = 55587800584050. Its totient is φ = 7550125712640.

The previous prime is 22021200000083. The next prime is 22021200000101. The reversal of 22021200000100 is 100000212022.

It can be written as a sum of positive squares in 3 ways, for example, as 4491101885284 + 17530098114816 = 2119222^2 + 4186896^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22021200000101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2247056325 + ... + 2247066124.

Almost surely, 222021200000100 is an apocalyptic number.

22021200000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021200000100 is an abundant number, since it is smaller than the sum of its proper divisors (33566600583950).

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

22021200000100 is a wasteful number, since it uses less digits than its factorization.

22021200000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494122477 (or 4494122463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22021200000100 its reverse (100000212022), we get a palindrome (22121200212122).

The spelling of 22021200000100 in words is "twenty-two trillion, twenty-one billion, two hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 4494122449 8988244898 17976489796 22470612245 31458857143 44941224490 62917714286 89882448980 112353061225 125835428572 157294285715 220212000001 224706122450 314588571430 440424000002 449412244900 629177142860 786471428575 880848000004 1101060000005 1572942857150 2202120000010 3145885714300 4404240000020 5505300000025 11010600000050 22021200000100