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87117131 = 298213659
BaseRepresentation
bin1010011000101…
…00110101001011
320001221000020102
411030110311023
5134300222011
612351120015
72105324543
oct514246513
9201830212
1087117131
11451a2432
122521300b
13150829ca
14b7da323
1579ac73b
hex5314d4b

87117131 has 8 divisors (see below), whose sum is σ = 90255600. Its totient is φ = 83987680.

The previous prime is 87117113. The next prime is 87117133. The reversal of 87117131 is 13171178.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87117131 is a prime.

It is a super-2 number, since 2×871171312 = 15178789027342322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87117094 and 87117103.

It is not an unprimeable number, because it can be changed into a prime (87117133) 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 7 ways as a sum of consecutive naturals, for example, 21980 + ... + 25638.

It is an arithmetic number, because the mean of its divisors is an integer number (11281950).

Almost surely, 287117131 is an apocalyptic number.

87117131 is a deficient number, since it is larger than the sum of its proper divisors (3138469).

87117131 is a wasteful number, since it uses less digits than its factorization.

87117131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509.

The product of its digits is 1176, while the sum is 29.

The square root of 87117131 is about 9333.6558218096. The cubic root of 87117131 is about 443.3035285646.

The spelling of 87117131 in words is "eighty-seven million, one hundred seventeen thousand, one hundred thirty-one".

Divisors: 1 29 821 3659 23809 106111 3004039 87117131