Search a number
-
+
23141122000 = 245355720773
BaseRepresentation
bin10101100011010100…
…010111111111010000
32012201202002210120121
4111203110113333100
5334343111401000
614344134320024
71446313201663
oct254324277720
965652083517
1023141122000
1198a5618517
124599ab9014
13224a3a00c9
1411975456da
159068d8b1a
hex563517fd0

23141122000 has 80 divisors (see below), whose sum is σ = 56058389712. Its totient is φ = 9239385600.

The previous prime is 23141121929. The next prime is 23141122001. The reversal of 23141122000 is 22114132.

It can be written as a sum of positive squares in 8 ways, for example, as 6958229056 + 16182892944 = 83416^2 + 127212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141122001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1103614 + ... + 1124386.

Almost surely, 223141122000 is an apocalyptic number.

23141122000 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 23141122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029194856).

23141122000 is an abundant number, since it is smaller than the sum of its proper divisors (32917267712).

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

23141122000 is a wasteful number, since it uses less digits than its factorization.

23141122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21353 (or 21337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23141122000 its reverse (22114132), we get a palindrome (23163236132).

The spelling of 23141122000 in words is "twenty-three billion, one hundred forty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 557 1000 1114 2000 2228 2785 4456 5570 8912 11140 13925 20773 22280 27850 41546 44560 55700 69625 83092 103865 111400 139250 166184 207730 222800 278500 332368 415460 519325 557000 830920 1038650 1114000 1661840 2077300 2596625 4154600 5193250 8309200 10386500 11570561 20773000 23141122 41546000 46282244 57852805 92564488 115705610 185128976 231411220 289264025 462822440 578528050 925644880 1157056100 1446320125 2314112200 2892640250 4628224400 5785280500 11570561000 23141122000