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10253453441 = 7111011737621
BaseRepresentation
bin10011000110010011…
…10100100010000001
3222110120200101212212
421203021310202001
5131444341002231
64413235031505
7512042626160
oct114311644201
928416611785
1010253453441
114391897370
121ba1a3b595
13c7536ba1a
146d3a9b3d7
1540027542b
hex263274881

10253453441 has 32 divisors (see below), whose sum is σ = 12986424576. Its totient is φ = 7863840000.

The previous prime is 10253453437. The next prime is 10253453449. The reversal of 10253453441 is 14435435201.

It is a cyclic number.

It is not a de Polignac number, because 10253453441 - 22 = 10253453437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10253453398 and 10253453407.

It is not an unprimeable number, because it can be changed into a prime (10253453449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341611 + ... + 1349231.

It is an arithmetic number, because the mean of its divisors is an integer number (405825768).

Almost surely, 210253453441 is an apocalyptic number.

10253453441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10253453441 is a deficient number, since it is larger than the sum of its proper divisors (2732971135).

10253453441 is a wasteful number, since it uses less digits than its factorization.

10253453441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913.

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10253453441 its reverse (14435435201), we get a palindrome (24688888642).

The spelling of 10253453441 in words is "ten billion, two hundred fifty-three million, four hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 7 11 77 101 173 707 1111 1211 1903 7621 7777 13321 17473 53347 83831 122311 192203 586817 769721 1318433 1345421 5388047 8466931 9229031 14502763 59268517 101519341 133161733 932132131 1464779063 10253453441