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87141031 = 17313741109
BaseRepresentation
bin1010011000110…
…10101010100111
320001222020000121
411030122222213
5134302003111
612351422411
72105454325
oct514325247
9201866017
1087141031
114520938a
1225224a07
1315090853
14b804d15
1579b4871
hex531aaa7

87141031 has 32 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 74649600.

The previous prime is 87141013. The next prime is 87141079. The reversal of 87141031 is 13014178.

It is a 12-Lehmer number, since φ(87141031) divides (87141031-1)12.

It is a cyclic number.

It is not a de Polignac number, because 87141031 - 29 = 87140519 is a prime.

It is a super-2 number, since 2×871410312 = 15187118567485922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87140987 and 87141005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87121031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799405 + ... + 799513.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 287141031 is an apocalyptic number.

87141031 is a deficient number, since it is larger than the sum of its proper divisors (13981529).

87141031 is a wasteful number, since it uses less digits than its factorization.

87141031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 87141031 is about 9334.9360469154. The cubic root of 87141031 is about 443.3440639735.

The spelling of 87141031 in words is "eighty-seven million, one hundred forty-one thousand, thirty-one".

Divisors: 1 17 31 37 41 109 527 629 697 1147 1271 1517 1853 3379 4033 4469 19499 21607 25789 47027 57443 68561 75973 125023 138539 165353 799459 2125391 2355163 2811001 5125943 87141031