Search a number
-
+
120263636100 = 22352978814691
BaseRepresentation
bin111000000000001000…
…1010111010010000100
3102111102101020201020110
41300000101113102010
53432244442323400
6131125351033020
711455150016526
oct1600021272204
9374371221213
10120263636100
11470047618a3
121b38406b770
13b4579c266a
145b6c371a16
1531dd1cee50
hex1c00457484

120263636100 has 144 divisors (see below), whose sum is σ = 352024094016. Its totient is φ = 31696896000.

The previous prime is 120263636047. The next prime is 120263636107. The reversal of 120263636100 is 1636362021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120263636107) 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, 25634755 + ... + 25639445.

It is an arithmetic number, because the mean of its divisors is an integer number (2444611764).

Almost surely, 2120263636100 is an apocalyptic number.

120263636100 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 120263636100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176012047008).

120263636100 is an abundant number, since it is smaller than the sum of its proper divisors (231760457916).

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

120263636100 is a wasteful number, since it uses less digits than its factorization.

120263636100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5686 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 120263636100 its reverse (1636362021), we get a palindrome (121899998121).

The spelling of 120263636100 in words is "one hundred twenty billion, two hundred sixty-three million, six hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 881 970 1164 1455 1762 1940 2425 2643 2910 3524 4405 4691 4850 5286 5820 7275 8810 9382 9700 10572 13215 14073 14550 17620 18764 22025 23455 26430 28146 29100 44050 46910 52860 56292 66075 70365 85457 88100 93820 117275 132150 140730 170914 234550 256371 264300 281460 341828 351825 427285 455027 469100 512742 703650 854570 910054 1025484 1281855 1365081 1407300 1709140 1820108 2136425 2275135 2563710 2730162 4132771 4272850 4550270 5127420 5460324 6409275 6825405 8265542 8545700 9100540 11375675 12398313 12818550 13650810 16531084 20663855 22751350 24796626 25637100 27301620 34127025 41327710 45502700 49593252 61991565 68254050 82655420 103319275 123983130 136508100 206638550 247966260 309957825 400878787 413277100 619915650 801757574 1202636361 1239831300 1603515148 2004393935 2405272722 4008787870 4810545444 6013181805 8017575740 10021969675 12026363610 20043939350 24052727220 30065909025 40087878700 60131818050 120263636100