Search a number
-
+
2032331101300 = 225261886337591
BaseRepresentation
bin11101100100110000010…
…111111001010001110100
321012021210122111222011101
4131210300113321101310
5231244203230220200
64153350124415444
7266555026221433
oct35446027712164
97167718458141
102032331101300
117139a7a18815
12289a676a7584
13119856870946
147051874111a
1537ceb5bd26a
hex1d9305f9474

2032331101300 has 72 divisors (see below), whose sum is σ = 4483081175552. Its totient is φ = 799494192000.

The previous prime is 2032331101261. The next prime is 2032331101303. The reversal of 2032331101300 is 31011332302.

It is a super-2 number, since 2×20323311013002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032331101303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54045505 + ... + 54083095.

Almost surely, 22032331101300 is an apocalyptic number.

2032331101300 is a gapful number since it is divisible by the number (20) 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 2032331101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241540587776).

2032331101300 is an abundant number, since it is smaller than the sum of its proper divisors (2450750074252).

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

2032331101300 is a wasteful number, since it uses less digits than its factorization.

2032331101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46529 (or 46522 counting only the distinct ones).

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

Adding to 2032331101300 its reverse (31011332302), we get a palindrome (2063342433602).

The spelling of 2032331101300 in words is "two trillion, thirty-two billion, three hundred thirty-one million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 8863 17726 35452 37591 44315 75182 88630 150364 177260 187955 221575 375910 443150 540643 751820 886300 939775 1081286 1879550 2162572 2293051 2703215 3759100 4586102 5406430 9172204 10812860 11465255 13516075 22930510 27032150 45861020 54064300 57326275 114652550 229305100 333169033 666338066 1332676132 1665845165 3331690330 6663380660 8329225825 16658451650 20323311013 33316903300 40646622026 81293244052 101616555065 203233110130 406466220260 508082775325 1016165550650 2032331101300