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1000223022300 = 2235247509139367
BaseRepresentation
bin11101000111000011111…
…00000001110011011100
310112121202021002010120020
432203201330001303130
5112341424043203200
62043255054352140
7132156313260555
oct16434174016334
93477667063506
101000223022300
11356212902947
12141a247bb650
1373422553ab8
14365a7cdd32c
151b04111bea0
hexe8e1f01cdc

1000223022300 has 144 divisors (see below), whose sum is σ = 2961380459520. Its totient is φ = 260536375040.

The previous prime is 1000223022289. The next prime is 1000223022319. The reversal of 1000223022300 is 32203220001.

1000223022300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1000223022300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7107217 + ... + 7246583.

It is an arithmetic number, because the mean of its divisors is an integer number (20565142080).

Almost surely, 21000223022300 is an apocalyptic number.

1000223022300 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 1000223022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480690229760).

1000223022300 is an abundant number, since it is smaller than the sum of its proper divisors (1961157437220).

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

1000223022300 is a wasteful number, since it uses less digits than its factorization.

1000223022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139940 (or 139933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1000223022300 its reverse (32203220001), we get a palindrome (1032426242301).

The spelling of 1000223022300 in words is "one trillion, two hundred twenty-three million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 509 564 705 940 1018 1175 1410 1527 2036 2350 2545 2820 3054 3525 4700 5090 6108 7050 7635 10180 12725 14100 15270 23923 25450 30540 38175 47846 50900 71769 76350 95692 119615 139367 143538 152700 239230 278734 287076 358845 418101 478460 557468 598075 696835 717690 836202 1196150 1393670 1435380 1672404 1794225 2090505 2392300 2787340 3484175 3588450 4181010 6550249 6968350 7176900 8362020 10452525 13100498 13936700 19650747 20905050 26200996 32751245 39301494 41810100 65502490 70937803 78602988 98253735 131004980 141875606 163756225 196507470 212813409 283751212 327512450 354689015 393014940 425626818 491268675 655024900 709378030 851253636 982537350 1064067045 1418756060 1773445075 1965074700 2128134090 3334076741 3546890150 4256268180 5320335225 6668153482 7093780300 10002230223 10640670450 13336306964 16670383705 20004460446 21281340900 33340767410 40008920892 50011151115 66681534820 83351918525 100022302230 166703837050 200044604460 250055755575 333407674100 500111511150 1000223022300