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1012222210000 = 2454317319313
BaseRepresentation
bin11101011101011010010…
…01010010111111010000
310120202201111200000122111
432232231021102333100
5113041012341210000
62053001454515104
7133062544552231
oct16565511227720
93522644600574
101012222210000
1136031005a1a1
12144213205a94
13745b5492971
1436dc5789088
151b4e477bcba
hexebad252fd0

1012222210000 has 100 divisors (see below), whose sum is σ = 2458429778772. Its totient is φ = 403610368000.

The previous prime is 1012222209989. The next prime is 1012222210033. The reversal of 1012222210000 is 122222101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 990916720704 + 21305489296 = 995448^2 + 145964^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3010344 + ... + 3329656.

Almost surely, 21012222210000 is an apocalyptic number.

1012222210000 is a gapful number since it is divisible by the number (10) 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 1012222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229214889386).

1012222210000 is an abundant number, since it is smaller than the sum of its proper divisors (1446207568772).

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

1012222210000 is an equidigital number, since it uses as much as digits as its factorization.

1012222210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319658 (or 319637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1012222210000 its reverse (122222101), we get a palindrome (1012344432101).

The spelling of 1012222210000 in words is "one trillion, twelve billion, two hundred twenty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 317 400 500 625 634 1000 1250 1268 1585 2000 2500 2536 3170 5000 5072 6340 7925 10000 12680 15850 25360 31700 39625 63400 79250 126800 158500 198125 317000 319313 396250 634000 638626 792500 1277252 1585000 1596565 2554504 3170000 3193130 5109008 6386260 7982825 12772520 15965650 25545040 31931300 39914125 63862600 79828250 101222221 127725200 159656500 199570625 202444442 319313000 399141250 404888884 506111105 638626000 798282500 809777768 1012222210 1596565000 1619555536 2024444420 2530555525 3193130000 4048888840 5061111050 8097777680 10122222100 12652777625 20244444200 25305555250 40488888400 50611110500 63263888125 101222221000 126527776250 202444442000 253055552500 506111105000 1012222210000