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1130422331000 = 235323104946853
BaseRepresentation
bin10000011100110010011…
…010111110011001111000
311000001211002001022022202
4100130302122332121320
5122010101104043000
62223150413405332
7144445630163054
oct20346232763170
94001732038282
101130422331000
113a6455a32606
12163100199848
13827a1800071
143c9d9a4ac64
151e6116eedd5
hex107326be678

1130422331000 has 128 divisors (see below), whose sum is σ = 2762886672000. Its totient is φ = 432087884800.

The previous prime is 1130422330993. The next prime is 1130422331009. The reversal of 1130422331000 is 1332240311.

It is a super-3 number, since 3×11304223310003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130422331009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24103574 + ... + 24150426.

It is an arithmetic number, because the mean of its divisors is an integer number (21585052125).

Almost surely, 21130422331000 is an apocalyptic number.

1130422331000 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 1130422331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381443336000).

1130422331000 is an abundant number, since it is smaller than the sum of its proper divisors (1632464341000).

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

1130422331000 is a wasteful number, since it uses less digits than its factorization.

1130422331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47946 (or 47932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1130422331000 its reverse (1332240311), we get a palindrome (1131754571311).

The spelling of 1130422331000 in words is "one trillion, one hundred thirty billion, four hundred twenty-two million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1049 1150 2098 2300 2875 4196 4600 5245 5750 8392 10490 11500 20980 23000 24127 26225 41960 46853 48254 52450 93706 96508 104900 120635 131125 187412 193016 209800 234265 241270 262250 374824 468530 482540 524500 603175 937060 965080 1049000 1077619 1171325 1206350 1874120 2155238 2342650 2412700 3015875 4310476 4685300 4825400 5388095 5856625 6031750 8620952 9370600 10776190 11713250 12063500 21552380 23426500 24127000 26940475 43104760 46853000 49148797 53880950 98297594 107761900 134702375 196595188 215523800 245743985 269404750 393190376 491487970 538809500 982975940 1077619000 1130422331 1228719925 1965951880 2260844662 2457439850 4521689324 4914879700 5652111655 6143599625 9043378648 9829759400 11304223310 12287199250 22608446620 24574398500 28260558275 45216893240 49148797000 56521116550 113042233100 141302791375 226084466200 282605582750 565211165500 1130422331000