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22121377300 = 22521121999187
BaseRepresentation
bin10100100110100010…
…010110111000010100
32010002200021101211101
4110212202112320110
5330301033033200
614055025515444
71412121414241
oct244642267024
963080241741
1022121377300
119421a39200
1243544a2b84
13211703ba89
1410dbd385c8
1589710726a
hex526896e14

22121377300 has 108 divisors (see below), whose sum is σ = 53034973600. Its totient is φ = 8002843200.

The previous prime is 22121377297. The next prime is 22121377303. The reversal of 22121377300 is 377312122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22121377297) and next prime (22121377303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121377303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2403307 + ... + 2412493.

Almost surely, 222121377300 is an apocalyptic number.

22121377300 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 22121377300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26517486800).

22121377300 is an abundant number, since it is smaller than the sum of its proper divisors (30913596300).

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

22121377300 is a wasteful number, since it uses less digits than its factorization.

22121377300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

Adding to 22121377300 its reverse (377312122), we get a palindrome (22498689422).

The spelling of 22121377300 in words is "twenty-two billion, one hundred twenty-one million, three hundred seventy-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 199 220 242 275 398 484 550 605 796 995 1100 1210 1990 2189 2420 3025 3980 4378 4975 6050 8756 9187 9950 10945 12100 18374 19900 21890 24079 36748 43780 45935 48158 54725 91870 96316 101057 109450 120395 183740 202114 218900 229675 240790 404228 459350 481580 505285 601975 918700 1010570 1111627 1203950 1828213 2021140 2223254 2407900 2526425 3656426 4446508 5052850 5558135 7312852 9141065 10105700 11116270 18282130 20110343 22232540 27790675 36564260 40220686 45705325 55581350 80441372 91410650 100551715 111162700 182821300 201103430 221213773 402206860 442427546 502758575 884855092 1005517150 1106068865 2011034300 2212137730 4424275460 5530344325 11060688650 22121377300