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22041240100 = 225211101198391
BaseRepresentation
bin10100100001110000…
…101010001000100100
32002220002111000020221
4110201300222020210
5330120024140400
614043044134124
71410126310135
oct244160521044
962802430227
1022041240100
119390783a10
124331697344
132103561109
1410d1437c8c
15890077c1a
hex521c2a224

22041240100 has 72 divisors (see below), whose sum is σ = 52694502336. Its totient is φ = 7935600000.

The previous prime is 22041240083. The next prime is 22041240103. The reversal of 22041240100 is 104214022.

It is not an unprimeable number, because it can be changed into a prime (22041240103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11905 + ... + 210295.

It is an arithmetic number, because the mean of its divisors is an integer number (731868088).

Almost surely, 222041240100 is an apocalyptic number.

22041240100 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 22041240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26347251168).

22041240100 is an abundant number, since it is smaller than the sum of its proper divisors (30653262236).

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

22041240100 is a wasteful number, since it uses less digits than its factorization.

22041240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198517 (or 198510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22041240100 its reverse (104214022), we get a palindrome (22145454122).

The spelling of 22041240100 in words is "twenty-two billion, forty-one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 198391 396782 793564 991955 1983910 2182301 3967820 4364602 4959775 8729204 9919550 10911505 19839100 20037491 21823010 40074982 43646020 54557525 80149964 100187455 109115050 200374910 218230100 220412401 400749820 440824802 500937275 881649604 1001874550 1102062005 2003749100 2204124010 4408248020 5510310025 11020620050 22041240100