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22102241100 = 2235282389519
BaseRepresentation
bin10100100101011001…
…010110111101001100
32010001100021011220020
4110211121112331030
5330231133203400
614053103422140
71411466643462
oct244531267514
963040234806
1022102241100
119412158965
124349bb4950
13211309b894
1410d9596832
158955c72a0
hex525656f4c

22102241100 has 72 divisors (see below), whose sum is σ = 64027568640. Its totient is φ = 5886703680.

The previous prime is 22102241071. The next prime is 22102241111. The reversal of 22102241100 is 114220122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22102241100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202141 + ... + 291659.

Almost surely, 222102241100 is an apocalyptic number.

22102241100 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 22102241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32013784320).

22102241100 is an abundant number, since it is smaller than the sum of its proper divisors (41925327540).

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

22102241100 is a wasteful number, since it uses less digits than its factorization.

22102241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90359 (or 90352 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102241100 its reverse (114220122), we get a palindrome (22216461222).

The spelling of 22102241100 in words is "twenty-two billion, one hundred two million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 823 1646 2469 3292 4115 4938 8230 9876 12345 16460 20575 24690 41150 49380 61725 82300 89519 123450 179038 246900 268557 358076 447595 537114 895190 1074228 1342785 1790380 2237975 2685570 4475950 5371140 6713925 8951900 13427850 26855700 73674137 147348274 221022411 294696548 368370685 442044822 736741370 884089644 1105112055 1473482740 1841853425 2210224110 3683706850 4420448220 5525560275 7367413700 11051120550 22102241100