Search a number
-
+
1122002300000 = 255583135181
BaseRepresentation
bin10000010100111100100…
…011000110110001100000
310222021002021021102012202
4100110330203012301200
5121340330042100000
62215235111112332
7144030156122531
oct20247443066140
93867067242182
101122002300000
113a29250586aa
121615503726a8
1381a5c2540ba
143c43b686688
151e2bc3d5dd5
hex1053c8c6c60

1122002300000 has 144 divisors (see below), whose sum is σ = 2794286560464. Its totient is φ = 443390400000.

The previous prime is 1122002299997. The next prime is 1122002300017. The reversal of 1122002300000 is 32002211.

It is a happy number.

It is a super-2 number, since 2×11220023000002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8232410 + ... + 8367590.

It is an arithmetic number, because the mean of its divisors is an integer number (19404767781).

Almost surely, 21122002300000 is an apocalyptic number.

1122002300000 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 1122002300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397143280232).

1122002300000 is an abundant number, since it is smaller than the sum of its proper divisors (1672284260464).

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

1122002300000 is an frugal number, since it uses more digits than its factorization.

1122002300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135299 (or 135271 counting only the distinct ones).

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

Adding to 1122002300000 its reverse (32002211), we get a palindrome (1122034302211).

The spelling of 1122002300000 in words is "one trillion, one hundred twenty-two billion, two million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 625 664 800 830 1000 1250 1328 1660 2000 2075 2500 2656 3125 3320 4000 4150 5000 6250 6640 8300 10000 10375 12500 13280 16600 20000 20750 25000 33200 41500 50000 51875 66400 83000 100000 103750 135181 166000 207500 259375 270362 332000 415000 518750 540724 675905 830000 1037500 1081448 1351810 1660000 2075000 2162896 2703620 3379525 4150000 4325792 5407240 6759050 8300000 10814480 11220023 13518100 16897625 21628960 22440046 27036200 33795250 44880092 54072400 56100115 67590500 84488125 89760184 108144800 112200230 135181000 168976250 179520368 224400460 270362000 280500575 337952500 359040736 422440625 448800920 540724000 561001150 675905000 844881250 897601840 1122002300 1351810000 1402502875 1689762500 1795203680 2244004600 2703620000 2805005750 3379525000 4488009200 5610011500 6759050000 7012514375 8976018400 11220023000 13518100000 14025028750 22440046000 28050057500 35062571875 44880092000 56100115000 70125143750 112200230000 140250287500 224400460000 280500575000 561001150000 1122002300000