Search a number
-
+
1133330131100 = 22521712733115859
BaseRepresentation
bin10000011111011111101…
…111010110100010011100
311000100022201120212011202
4100133133233112202130
5122032030003143400
62224351125535032
7144610656111266
oct20373757264234
94010281525152
101133330131100
113a7708349892
12163791b74478
1382b4607223b
143cbd3cd2b36
151e731b304d5
hex107dfbd689c

1133330131100 has 144 divisors (see below), whose sum is σ = 2632591503360. Its totient is φ = 422000409600.

The previous prime is 1133330131069. The next prime is 1133330131103. The reversal of 1133330131100 is 11310333311.

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 (1133330131103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71454971 + ... + 71470829.

It is an arithmetic number, because the mean of its divisors is an integer number (18281885440).

Almost surely, 21133330131100 is an apocalyptic number.

1133330131100 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 1133330131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316295751680).

1133330131100 is an abundant number, since it is smaller than the sum of its proper divisors (1499261372260).

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

1133330131100 is a wasteful number, since it uses less digits than its factorization.

1133330131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16348 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 1133330131100 its reverse (11310333311), we get a palindrome (1144640464411).

The spelling of 1133330131100 in words is "one trillion, one hundred thirty-three billion, three hundred thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 127 170 254 331 340 425 508 635 662 850 1270 1324 1655 1700 2159 2540 3175 3310 4318 5627 6350 6620 8275 8636 10795 11254 12700 15859 16550 21590 22508 28135 31718 33100 42037 43180 53975 56270 63436 79295 84074 107950 112540 140675 158590 168148 210185 215900 269603 281350 317180 396475 420370 539206 562700 714629 792950 840740 1050925 1078412 1348015 1429258 1585900 2014093 2101850 2696030 2858516 3573145 4028186 4203700 5249329 5392060 6740075 7146290 8056372 10070465 10498658 13480150 14292580 17865725 20140930 20997316 26246645 26960300 34239581 35731450 40281860 50352325 52493290 68479162 71462900 89238593 100704650 104986580 131233225 136958324 171197905 178477186 201409300 262466450 342395810 356954372 446192965 524932900 666664783 684791620 855989525 892385930 1333329566 1711979050 1784771860 2230964825 2666659132 3333323915 3423958100 4461929650 6666647830 8923859300 11333301311 13333295660 16666619575 22666602622 33333239150 45333205244 56666506555 66666478300 113333013110 226666026220 283332532775 566665065550 1133330131100