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117042541 = 71112171249
BaseRepresentation
bin1101111100111…
…10110101101101
322011020101011221
412332132311231
5214430330131
615340343341
72620562620
oct676366555
9264211157
10117042541
1160081880
1233244b51
131b32ca55
1411789db7
15a41e411
hex6f9ed6d

117042541 has 16 divisors (see below), whose sum is σ = 146160000. Its totient is φ = 91054080.

The previous prime is 117042511. The next prime is 117042553. The reversal of 117042541 is 145240711.

It is a cyclic number.

It is not a de Polignac number, because 117042541 - 213 = 117034349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117042511) 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 15 ways as a sum of consecutive naturals, for example, 93085 + ... + 94333.

It is an arithmetic number, because the mean of its divisors is an integer number (9135000).

Almost surely, 2117042541 is an apocalyptic number.

117042541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117042541 is a deficient number, since it is larger than the sum of its proper divisors (29117459).

117042541 is a wasteful number, since it uses less digits than its factorization.

117042541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 117042541 is about 10818.6201060949. The cubic root of 117042541 is about 489.1565957849.

The spelling of 117042541 in words is "one hundred seventeen million, forty-two thousand, five hundred forty-one".

Divisors: 1 7 11 77 1217 1249 8519 8743 13387 13739 93709 96173 1520033 10640231 16720363 117042541