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10124203340 = 22529106316421
BaseRepresentation
bin10010110110111001…
…10001010101001100
3222010120110211002002
421123130301111030
5131213244001330
64352340451432
7505613210546
oct113334612514
928116424062
1010124203340
1143259378a9
121b666a9b78
13c54656684
146c0854696
153e3c43e45
hex25b73154c

10124203340 has 48 divisors (see below), whose sum is σ = 22015990080. Its totient is φ = 3906120960.

The previous prime is 10124203339. The next prime is 10124203363. The reversal of 10124203340 is 4330242101.

10124203340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608330 + ... + 624750.

It is an arithmetic number, because the mean of its divisors is an integer number (458666460).

Almost surely, 210124203340 is an apocalyptic number.

10124203340 is a gapful number since it is divisible by the number (10) 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 10124203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007995040).

10124203340 is an abundant number, since it is smaller than the sum of its proper divisors (11891786740).

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

10124203340 is a wasteful number, since it uses less digits than its factorization.

10124203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17520 counting only the distinct ones).

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

Adding to 10124203340 its reverse (4330242101), we get a palindrome (14454445441).

The spelling of 10124203340 in words is "ten billion, one hundred twenty-four million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1063 2126 4252 5315 10630 16421 21260 30827 32842 61654 65684 82105 123308 154135 164210 308270 328420 476209 616540 952418 1904836 2381045 4762090 9524180 17455523 34911046 69822092 87277615 174555230 349110460 506210167 1012420334 2024840668 2531050835 5062101670 10124203340