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753135011041 = 71710770184377
BaseRepresentation
bin10101111010110100101…
…10000100010011100001
32122222222021101122000211
422331122112010103201
544314410030323131
61333552505014121
7105261246653110
oct12753226042341
92588867348024
10753135011041
11270448096966
12101b67484341
135603587278a
1428648143c77
15148cdcae5b1
hexaf5a5844e1

753135011041 has 32 divisors (see below), whose sum is σ = 921197152512. Its totient is φ = 601027123200.

The previous prime is 753135011023. The next prime is 753135011081. The reversal of 753135011041 is 140110531357.

It is not a de Polignac number, because 753135011041 - 25 = 753135011009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 753135010994 and 753135011012.

It is not an unprimeable number, because it can be changed into a prime (753135011021) 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 31 ways as a sum of consecutive naturals, for example, 8883645 + ... + 8968021.

It is an arithmetic number, because the mean of its divisors is an integer number (28787411016).

Almost surely, 2753135011041 is an apocalyptic number.

It is an amenable number.

753135011041 is a deficient number, since it is larger than the sum of its proper divisors (168062141471).

753135011041 is a wasteful number, since it uses less digits than its factorization.

753135011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85209.

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 753135011041 its reverse (140110531357), we get a palindrome (893245542398).

The spelling of 753135011041 in words is "seven hundred fifty-three billion, one hundred thirty-five million, eleven thousand, forty-one".

Divisors: 1 7 17 107 119 701 749 1819 4907 11917 12733 75007 83419 84377 525049 590639 1275119 1434409 8925833 9028339 10040863 59148277 63198373 153481763 414037939 1005520709 1074372341 6328865639 7038644963 44302059473 107590715863 753135011041