Search a number
-
+
54321151300 = 22521346190641
BaseRepresentation
bin110010100101110010…
…101111110101000100
312012012201211101211121
4302211302233311010
51342222203320200
640542122443324
73632062111333
oct624562576504
9165181741747
1054321151300
1121045967a79
12a640063544
1351790866a0
1428b45a1d1a
15162de05e1a
hexca5cafd44

54321151300 has 72 divisors (see below), whose sum is σ = 127221122952. Its totient is φ = 20013312000.

The previous prime is 54321151279. The next prime is 54321151303. The reversal of 54321151300 is 315112345.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 17964577024 + 36356574276 = 134032^2 + 190674^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (54321151303) 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, 553980 + ... + 644620.

It is an arithmetic number, because the mean of its divisors is an integer number (1766960041).

Almost surely, 254321151300 is an apocalyptic number.

54321151300 is a gapful number since it is divisible by the number (50) 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 54321151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63610561476).

54321151300 is an abundant number, since it is smaller than the sum of its proper divisors (72899971652).

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

54321151300 is a wasteful number, since it uses less digits than its factorization.

54321151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91129 (or 91122 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 54321151300 its reverse (315112345), we get a palindrome (54636263645).

The spelling of 54321151300 in words is "fifty-four billion, three hundred twenty-one million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 461 650 922 1300 1844 2305 4610 5993 9220 11525 11986 23050 23972 29965 46100 59930 90641 119860 149825 181282 299650 362564 453205 599300 906410 1178333 1812820 2266025 2356666 4532050 4713332 5891665 9064100 11783330 23566660 29458325 41785501 58916650 83571002 117833300 167142004 208927505 417855010 543211513 835710020 1044637525 1086423026 2089275050 2172846052 2716057565 4178550100 5432115130 10864230260 13580287825 27160575650 54321151300