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1010222300000 = 255517956437
BaseRepresentation
bin11101011001101011111…
…00001111101101100000
310120120120010111001212202
432230311330033231200
5113022413402100000
62052031213512332
7132662151603644
oct16546574175540
93516503431782
101010222300000
1135a484174211
121439554a26a8
137435704a574
1436c75d14c24
151b428dd5dd5
hexeb35f0fb60

1010222300000 has 144 divisors (see below), whose sum is σ = 2499867029520. Its totient is φ = 401824320000.

The previous prime is 1010222299997. The next prime is 1010222300033. The reversal of 1010222300000 is 32220101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17871782 + ... + 17928218.

It is an arithmetic number, because the mean of its divisors is an integer number (17360187705).

Almost surely, 21010222300000 is an apocalyptic number.

1010222300000 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 1010222300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249933514760).

1010222300000 is an abundant number, since it is smaller than the sum of its proper divisors (1489644729520).

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

1010222300000 is an frugal number, since it uses more digits than its factorization.

1010222300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56651 (or 56623 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1010222300000 its reverse (32220101), we get a palindrome (1010254520101).

The spelling of 1010222300000 in words is "one trillion, ten billion, two hundred twenty-two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 625 716 800 895 1000 1250 1432 1790 2000 2500 2864 3125 3580 4000 4475 5000 5728 6250 7160 8950 10000 12500 14320 17900 20000 22375 25000 28640 35800 44750 50000 56437 71600 89500 100000 111875 112874 143200 179000 223750 225748 282185 358000 447500 451496 559375 564370 716000 895000 902992 1118750 1128740 1410925 1790000 1805984 2237500 2257480 2821850 3580000 4475000 4514960 5643700 7054625 8950000 9029920 10102223 11287400 14109250 17900000 20204446 22574800 28218500 35273125 40408892 45149600 50511115 56437000 70546250 80817784 101022230 112874000 141092500 161635568 176365625 202044460 225748000 252555575 282185000 323271136 352731250 404088920 505111150 564370000 705462500 808177840 1010222300 1128740000 1262777875 1410925000 1616355680 2020444600 2525555750 2821850000 4040889200 5051111500 5643700000 6313889375 8081778400 10102223000 12627778750 20204446000 25255557500 31569446875 40408892000 50511115000 63138893750 101022230000 126277787500 202044460000 252555575000 505111150000 1010222300000