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81353041 = 71117193271
BaseRepresentation
bin1001101100101…
…01100101010001
312200002011101121
410312111211101
5131311244131
612023402241
72005326610
oct466254521
9180064347
1081353041
1141a15820
12232b3381
1313b151c3
14ab39877
15721e911
hex4d95951

81353041 has 32 divisors (see below), whose sum is σ = 113080320. Its totient is φ = 56505600.

The previous prime is 81353029. The next prime is 81353053. The reversal of 81353041 is 14035318.

81353041 = T2773 + T2774 + ... + T2793.

It is an interprime number because it is at equal distance from previous prime (81353029) and next prime (81353053).

It is a cyclic number.

It is not a de Polignac number, because 81353041 - 215 = 81320273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81352997 and 81353015.

It is not an unprimeable number, because it can be changed into a prime (81353011) 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, 23236 + ... + 26506.

It is an arithmetic number, because the mean of its divisors is an integer number (3533760).

Almost surely, 281353041 is an apocalyptic number.

It is an amenable number.

81353041 is a deficient number, since it is larger than the sum of its proper divisors (31727279).

81353041 is a wasteful number, since it uses less digits than its factorization.

81353041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 81353041 is about 9019.5920639461. The cubic root of 81353041 is about 433.3025689534.

Adding to 81353041 its reverse (14035318), we get a palindrome (95388359).

The spelling of 81353041 in words is "eighty-one million, three hundred fifty-three thousand, forty-one".

Divisors: 1 7 11 17 19 77 119 133 187 209 323 1309 1463 2261 3271 3553 22897 24871 35981 55607 62149 251867 389249 435043 611677 683639 1056533 4281739 4785473 7395731 11621863 81353041