Search a number
-
+
2033010113200 = 2452113831206391
BaseRepresentation
bin11101100101011000110…
…110000111101010110000
321012100112222012100101021
4131211120312013222300
5231302101042110300
64153541342145224
7266610612560113
oct35453066075260
97170488170337
102033010113200
11714216232480
1228a016b82214
13119934441c31
14705809b457a
1537d3aee6d1a
hex1d958d87ab0

2033010113200 has 120 divisors (see below), whose sum is σ = 5342251216896. Its totient is φ = 737345568000.

The previous prime is 2033010113191. The next prime is 2033010113201. The reversal of 2033010113200 is 23110103302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2033010113201) 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, 1082005 + ... + 2288395.

Almost surely, 22033010113200 is an apocalyptic number.

2033010113200 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 2033010113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671125608448).

2033010113200 is an abundant number, since it is smaller than the sum of its proper divisors (3309241103696).

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

2033010113200 is a wasteful number, since it uses less digits than its factorization.

2033010113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206803 (or 1206792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2033010113200 its reverse (23110103302), we get a palindrome (2056120216502).

The spelling of 2033010113200 in words is "two trillion, thirty-three billion, ten million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 383 400 440 550 766 880 1100 1532 1915 2200 3064 3830 4213 4400 6128 7660 8426 9575 15320 16852 19150 21065 30640 33704 38300 42130 67408 76600 84260 105325 153200 168520 210650 337040 421300 842600 1206391 1685200 2412782 4825564 6031955 9651128 12063910 13270301 19302256 24127820 26540602 30159775 48255640 53081204 60319550 66351505 96511280 106162408 120639100 132703010 212324816 241278200 265406020 331757525 462047753 482556400 530812040 663515050 924095506 1061624080 1327030100 1848191012 2310238765 2654060200 3696382024 4620477530 5082525283 5308120400 7392764048 9240955060 10165050566 11551193825 18481910120 20330101132 23102387650 25412626415 36963820240 40660202264 46204775300 50825252830 81320404528 92409550600 101650505660 127063132075 184819101200 203301011320 254126264150 406602022640 508252528300 1016505056600 2033010113200