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1133443103220 = 22325109113511237
BaseRepresentation
bin10000011111100110011…
…110010011100111110100
311000100121121011102210100
4100133212132103213310
5122032242413300340
62224410243154100
7144613530262131
oct20374636234764
94010547142710
101133443103220
113a77660a047a
12163803975930
1382b635a834c
143cc04cdd588
151e73b9e8830
hex107e67939f4

1133443103220 has 144 divisors (see below), whose sum is σ = 3500364787920. Its totient is φ = 296827711488.

The previous prime is 1133443103213. The next prime is 1133443103239. The reversal of 1133443103220 is 223013443311.

It is a happy number.

1133443103220 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 431 + 0 + 3 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 111637510884 + 1021805592336 = 334122^2 + 1010844^2 .

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 47 ways as a sum of consecutive naturals, for example, 1961442 + ... + 2472678.

It is an arithmetic number, because the mean of its divisors is an integer number (24308088805).

Almost surely, 21133443103220 is an apocalyptic number.

1133443103220 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 1133443103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750182393960).

1133443103220 is an abundant number, since it is smaller than the sum of its proper divisors (2366921684700).

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

1133443103220 is a wasteful number, since it uses less digits than its factorization.

1133443103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511474 (or 511469 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1133443103220 its reverse (223013443311), we get a palindrome (1356456546531).

The spelling of 1133443103220 in words is "one trillion, one hundred thirty-three billion, four hundred forty-three million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 113 180 218 226 327 339 436 452 545 565 654 678 981 1017 1090 1130 1308 1356 1635 1695 1962 2034 2180 2260 3270 3390 3924 4068 4905 5085 6540 6780 9810 10170 12317 19620 20340 24634 36951 49268 61585 73902 110853 123170 147804 184755 221706 246340 369510 443412 511237 554265 739020 1022474 1108530 1533711 2044948 2217060 2556185 3067422 4601133 5112370 6134844 7668555 9202266 10224740 15337110 18404532 23005665 30674220 46011330 55724833 57769781 92022660 111449666 115539562 167174499 173309343 222899332 231079124 278624165 288848905 334348998 346618686 501523497 519928029 557248330 577697810 668697996 693237372 835872495 866546715 1003046994 1039856058 1114496660 1155395620 1671744990 1733093430 2006093988 2079712116 2507617485 2599640145 3343489980 3466186860 5015234970 5199280290 6296906129 10030469940 10398560580 12593812258 18890718387 25187624516 31484530645 37781436774 56672155161 62969061290 75562873548 94453591935 113344310322 125938122580 188907183870 226688620644 283360775805 377814367740 566721551610 1133443103220