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10012222203000 = 2335310193275179
BaseRepresentation
bin1001000110110010011011…
…1100101010010001111000
31022110011021222110111101120
42101230212330222101320
52303020012340444000
633143315033145240
72052234125351223
oct221544674522170
938404258414346
1010012222203000
113210183463036
121158528b5b220
135781c134c3c4
1426884646c5ba
15125692e566a0
hex91b26f2a478

10012222203000 has 128 divisors (see below), whose sum is σ = 31268798496000. Its totient is φ = 2667304963200.

The previous prime is 10012222202999. The next prime is 10012222203019. The reversal of 10012222203000 is 30222221001.

It is a happy number.

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

It is a congruent number.

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, 1419411 + ... + 4694589.

It is an arithmetic number, because the mean of its divisors is an integer number (244287488250).

Almost surely, 210012222203000 is an apocalyptic number.

10012222203000 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 10012222203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634399248000).

10012222203000 is an abundant number, since it is smaller than the sum of its proper divisors (21256576293000).

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

10012222203000 is a wasteful number, since it uses less digits than its factorization.

10012222203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276222 (or 3276208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10012222203000 its reverse (30222221001), we get a palindrome (10042444424001).

The spelling of 10012222203000 in words is "ten trillion, twelve billion, two hundred twenty-two million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1019 1500 2038 3000 3057 4076 5095 6114 8152 10190 12228 15285 20380 24456 25475 30570 40760 50950 61140 76425 101900 122280 127375 152850 203800 254750 305700 382125 509500 611400 764250 1019000 1528500 3057000 3275179 6550358 9825537 13100716 16375895 19651074 26201432 32751790 39302148 49127685 65503580 78604296 81879475 98255370 131007160 163758950 196510740 245638425 327517900 393021480 409397375 491276850 655035800 818794750 982553700 1228192125 1637589500 1965107400 2456384250 3275179000 3337407401 4912768500 6674814802 9825537000 10012222203 13349629604 16687037005 20024444406 26699259208 33374074010 40048888812 50061111015 66748148020 80097777624 83435185025 100122222030 133496296040 166870370050 200244444060 250305555075 333740740100 400488888120 417175925125 500611110150 667481480200 834351850250 1001222220300 1251527775375 1668703700500 2002444440600 2503055550750 3337407401000 5006111101500 10012222203000