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23441034100 = 22521131168521
BaseRepresentation
bin10101110101001100…
…011100101101110100
32020111122102220122011
4111311030130231310
5341001401042400
614434010414004
71456614334201
oct256514345564
966448386564
1023441034100
119a39941960
124662431304
132297569ba3
1411c52d4ca8
15922dcb8ba
hex57531cb74

23441034100 has 72 divisors (see below), whose sum is σ = 55670561856. Its totient is φ = 8496480000.

The previous prime is 23441034083. The next prime is 23441034101. The reversal of 23441034100 is 143014432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23441034101) 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 23 ways as a sum of consecutive naturals, for example, 307840 + ... + 376360.

It is an arithmetic number, because the mean of its divisors is an integer number (773202248).

Almost surely, 223441034100 is an apocalyptic number.

23441034100 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 23441034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27835280928).

23441034100 is an abundant number, since it is smaller than the sum of its proper divisors (32229527756).

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

23441034100 is a wasteful number, since it uses less digits than its factorization.

23441034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68857 (or 68850 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23441034100 its reverse (143014432), we get a palindrome (23584048532).

The spelling of 23441034100 in words is "twenty-three billion, four hundred forty-one million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 311 550 622 1100 1244 1555 3110 3421 6220 6842 7775 13684 15550 17105 31100 34210 68420 68521 85525 137042 171050 274084 342100 342605 685210 753731 1370420 1507462 1713025 3014924 3426050 3768655 6852100 7537310 15074620 18843275 21310031 37686550 42620062 75373100 85240124 106550155 213100310 234410341 426200620 468820682 532750775 937641364 1065501550 1172051705 2131003100 2344103410 4688206820 5860258525 11720517050 23441034100