Search a number
-
+
3222132121000 = 235313754932833
BaseRepresentation
bin101110111000110110000…
…010100101110110101000
3102102000212221001012100201
4232320312002211312220
5410242411310333000
610504121013441544
7451535303063152
oct56706602456650
912360787035321
103222132121000
111032553643a71
124405796402b4
131a4acc180060
14b1d4850bad2
1558c35be396a
hex2ee360a5da8

3222132121000 has 128 divisors (see below), whose sum is σ = 8121095892000. Its totient is φ = 1189516492800.

The previous prime is 3222132120923. The next prime is 3222132121049. The reversal of 3222132121000 is 1212312223.

3222132121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 73331556804 + 3148800564196 = 270798^2 + 1774486^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98120584 + ... + 98153416.

Almost surely, 23222132121000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222132121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060547946000).

3222132121000 is an abundant number, since it is smaller than the sum of its proper divisors (4898963771000).

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

3222132121000 is a wasteful number, since it uses less digits than its factorization.

3222132121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40416 (or 40402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 3222132121000 its reverse (1212312223), we get a palindrome (3223344433223).

The spelling of 3222132121000 in words is "three trillion, two hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 7549 13000 15098 30196 32833 37745 60392 65666 75490 98137 131332 150980 164165 188725 196274 262664 301960 328330 377450 392548 426829 490685 656660 754900 785096 820825 853658 943625 981370 1313320 1509800 1641650 1707316 1887250 1962740 2134145 2453425 3283300 3414632 3774500 3925480 4104125 4268290 4906850 6566600 7549000 8208250 8536580 9813700 10670725 12267125 16416500 17073160 19627400 21341450 24534250 32833000 42682900 49068500 53353625 85365800 98137000 106707250 213414500 247856317 426829000 495712634 991425268 1239281585 1982850536 2478563170 3222132121 4957126340 6196407925 6444264242 9914252680 12392815850 12888528484 16110660605 24785631700 25777056968 30982039625 32221321210 49571263400 61964079250 64442642420 80553303025 123928158500 128885284840 161106606050 247856317000 322213212100 402766515125 644426424200 805533030250 1611066060500 3222132121000