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41023134200 = 23525318112137
BaseRepresentation
bin100110001101001010…
…110101100111111000
310220212222021010202202
4212031022311213320
51133003410243300
630502404045332
72651406613226
oct461512654770
9126788233682
1041023134200
11164415429a4
127b4a693848
133b3a02c609
141db241bb16
151101737ad5
hex98d2b59f8

41023134200 has 96 divisors (see below), whose sum is σ = 97277546160. Its totient is φ = 16083225600.

The previous prime is 41023134193. The next prime is 41023134223. The reversal of 41023134200 is 243132014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19195532 + ... + 19197668.

Almost surely, 241023134200 is an apocalyptic number.

41023134200 is a gapful number since it is divisible by the number (40) 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 41023134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48638773080).

41023134200 is an abundant number, since it is smaller than the sum of its proper divisors (56254411960).

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

41023134200 is a wasteful number, since it uses less digits than its factorization.

41023134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41023134200 its reverse (243132014), we get a palindrome (41266266214).

The spelling of 41023134200 in words is "forty-one billion, twenty-three million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 1811 2120 2137 2650 3622 4274 5300 7244 8548 9055 10600 10685 14488 17096 18110 21370 36220 42740 45275 53425 72440 85480 90550 95983 106850 113261 181100 191966 213700 226522 362200 383932 427400 453044 479915 566305 767864 906088 959830 1132610 1919660 2265220 2399575 2831525 3839320 3870107 4530440 4799150 5663050 7740214 9598300 11326100 15480428 19196600 19350535 22652200 30960856 38701070 77402140 96752675 154804280 193505350 205115671 387010700 410231342 774021400 820462684 1025578355 1640925368 2051156710 4102313420 5127891775 8204626840 10255783550 20511567100 41023134200