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10300040224 = 25477986689
BaseRepresentation
bin10011001011110111…
…00010010000100000
3222120211100020221021
421211323202100200
5132043302241344
64422021335224
7513146616535
oct114573422040
928524306837
1010300040224
114406116741
121bb5567514
13c81c00676
146d9d46d8c
154043c8b84
hex265ee2420

10300040224 has 48 divisors (see below), whose sum is σ = 20972044800. Its totient is φ = 4976584704.

The previous prime is 10300040209. The next prime is 10300040243. The reversal of 10300040224 is 42204000301.

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

It is a junction number, because it is equal to n+sod(n) for n = 10300040198 and 10300040207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75472 + ... + 162160.

It is an arithmetic number, because the mean of its divisors is an integer number (436917600).

Almost surely, 210300040224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486022400).

10300040224 is an abundant number, since it is smaller than the sum of its proper divisors (10672004576).

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

10300040224 is an equidigital number, since it uses as much as digits as its factorization.

10300040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86825 (or 86817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10300040224 its reverse (42204000301), we get a palindrome (52504040525).

The spelling of 10300040224 in words is "ten billion, three hundred million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 79 94 158 188 316 376 632 752 1264 1504 2528 3713 7426 14852 29704 59408 86689 118816 173378 346756 693512 1387024 2774048 4074383 6848431 8148766 13696862 16297532 27393724 32595064 54787448 65190128 109574896 130380256 219149792 321876257 643752514 1287505028 2575010056 5150020112 10300040224