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22001211100 = 22521198320347
BaseRepresentation
bin10100011111010111…
…111101011011011100
32002210022011022210101
4110133113331123130
5330024302223400
614035054150444
71406132131411
oct243727753334
962708138711
1022001211100
1193701235a0
1243201b2424
1320c818730b
1410c9db8108
1588b7bc56a
hex51f5fd6dc

22001211100 has 72 divisors (see below), whose sum is σ = 52138412928. Its totient is φ = 7991908800.

The previous prime is 22001211047. The next prime is 22001211103. The reversal of 22001211100 is 111210022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001211103) 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 23 ways as a sum of consecutive naturals, for example, 1071127 + ... + 1091473.

It is an arithmetic number, because the mean of its divisors is an integer number (724144624).

Almost surely, 222001211100 is an apocalyptic number.

22001211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26069206464).

22001211100 is an abundant number, since it is smaller than the sum of its proper divisors (30137201828).

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

22001211100 is a wasteful number, since it uses less digits than its factorization.

22001211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21355 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22001211100 its reverse (111210022), we get a palindrome (22112421122).

The spelling of 22001211100 in words is "twenty-two billion, one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 983 1100 1966 3932 4915 9830 10813 19660 20347 21626 24575 40694 43252 49150 54065 81388 98300 101735 108130 203470 216260 223817 270325 406940 447634 508675 540650 895268 1017350 1081300 1119085 2034700 2238170 4476340 5595425 11190850 20001101 22381700 40002202 80004404 100005505 200011010 220012111 400022020 440024222 500027525 880048444 1000055050 1100060555 2000110100 2200121110 4400242220 5500302775 11000605550 22001211100