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21222301300 = 22521314673469
BaseRepresentation
bin10011110000111100…
…101001111001110100
32000210000111121102021
4103300330221321310
5321430402120200
613425511322524
71350623404354
oct236074517164
960700447367
1021222301300
119000488092
124143380444
1320029a9b45
14105477cb64
1584320e41a
hex4f0f29e74

21222301300 has 72 divisors (see below), whose sum is σ = 46516710240. Its totient is φ = 8403657600.

The previous prime is 21222301277. The next prime is 21222301301. The reversal of 21222301300 is 310322212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222301301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6115966 + ... + 6119434.

It is an arithmetic number, because the mean of its divisors is an integer number (646065420).

Almost surely, 221222301300 is an apocalyptic number.

21222301300 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 21222301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23258355120).

21222301300 is an abundant number, since it is smaller than the sum of its proper divisors (25294408940).

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

21222301300 is a wasteful number, since it uses less digits than its factorization.

21222301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21222301300 its reverse (310322212), we get a palindrome (21532623512).

The spelling of 21222301300 in words is "twenty-one billion, two hundred twenty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 467 524 655 934 1310 1868 2335 2620 3275 3469 4670 6550 6938 9340 11675 13100 13876 17345 23350 34690 46700 61177 69380 86725 122354 173450 244708 305885 346900 454439 611770 908878 1223540 1529425 1620023 1817756 2272195 3058850 3240046 4544390 6117700 6480092 8100115 9088780 11360975 16200230 22721950 32400460 40500575 45443900 81001150 162002300 212223013 424446026 848892052 1061115065 2122230130 4244460260 5305575325 10611150650 21222301300