Search a number
-
+
1100233033120 = 25513741771317
BaseRepresentation
bin10000000000101010111…
…111111100010110100000
310220011220010120002002001
4100000222333330112200
5121011234124024440
62201235020133344
7142326541322254
oct20005277742640
93804803502061
101100233033120
11394673956251
12159295997254
137c9a0159cb0
143b374408264
151d946182b9a
hex1002affc5a0

1100233033120 has 96 divisors (see below), whose sum is σ = 2799663401808. Its totient is φ = 406179422208.

The previous prime is 1100233033093. The next prime is 1100233033139. The reversal of 1100233033120 is 213303320011.

It can be written as a sum of positive squares in 8 ways, for example, as 306929296144 + 793303736976 = 554012^2 + 890676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15391702 + ... + 15463018.

Almost surely, 21100233033120 is an apocalyptic number.

1100233033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100233033120 is an abundant number, since it is smaller than the sum of its proper divisors (1699430368688).

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

1100233033120 is a wasteful number, since it uses less digits than its factorization.

1100233033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78762 (or 78754 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1100233033120 its reverse (213303320011), we get a palindrome (1313536353131).

The spelling of 1100233033120 in words is "one trillion, one hundred billion, two hundred thirty-three million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 7417 14834 29668 37085 59336 71317 74170 96421 118672 142634 148340 192842 237344 285268 296680 356585 385684 482105 570536 593360 713170 771368 927121 964210 1141072 1186720 1426340 1542736 1854242 1928420 2282144 2852680 3085472 3708484 3856840 4635605 5705360 7416968 7713680 9271210 11410720 14833936 15427360 18542420 29667872 37084840 74169680 148339360 528958189 1057916378 2115832756 2644790945 4231665512 5289581890 6876456457 8463331024 10579163780 13752912914 16926662048 21158327560 27505825828 34382282285 42316655120 55011651656 68764564570 84633310240 110023303312 137529129140 220046606624 275058258280 550116516560 1100233033120