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87331640121 = 32117995311717
BaseRepresentation
bin101000101010101011…
…1110001001100111001
322100102021212222111200
41101111113301030321
52412323344440441
6104041500044413
76211105456455
oct1212527611471
9270367788450
1087331640121
11340454858a0
1214b13233709
13830a0661cb
144326783665
152411e967b6
hex14555f1339

87331640121 has 48 divisors (see below), whose sum is σ = 139513570560. Its totient is φ = 52198997760.

The previous prime is 87331640093. The next prime is 87331640131. The reversal of 87331640121 is 12104613378.

It is a happy number.

87331640121 is a `hidden beast` number, since 8 + 7 + 3 + 3 + 1 + 640 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 87331640121 - 26 = 87331640057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87331640131) 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 47 ways as a sum of consecutive naturals, for example, 7447555 + ... + 7459271.

It is an arithmetic number, because the mean of its divisors is an integer number (2906532720).

Almost surely, 287331640121 is an apocalyptic number.

It is an amenable number.

87331640121 is a deficient number, since it is larger than the sum of its proper divisors (52181930439).

87331640121 is a wasteful number, since it uses less digits than its factorization.

87331640121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 87331640121 in words is "eighty-seven billion, three hundred thirty-one million, six hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 79 99 237 711 869 953 2607 2859 7821 8577 10483 11717 31449 35151 75287 94347 105453 128887 225861 386661 677583 828157 925643 1159983 2484471 2776929 7453413 8330787 10182073 11166301 30546219 33498903 91638657 100496709 122829311 368487933 882137779 1105463799 2646413337 7939240011 9703515569 29110546707 87331640121