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10085031187 = 721143435131
BaseRepresentation
bin10010110010001110…
…10101110100010011
3222000211202122222121
421121013111310103
5131123231444222
64344421115111
7504626231200
oct113107256423
928024678877
1010085031187
114305812220
121b55558a97
13c494bc89a
146b9578ca7
153e05a75c7
hex2591d5d13

10085031187 has 24 divisors (see below), whose sum is σ = 13095732672. Its totient is φ = 7675693200.

The previous prime is 10085031169. The next prime is 10085031287. The reversal of 10085031187 is 78113058001.

10085031187 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10085031187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10085031287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194389 + ... + 240742.

It is an arithmetic number, because the mean of its divisors is an integer number (545655528).

Almost surely, 210085031187 is an apocalyptic number.

10085031187 is a deficient number, since it is larger than the sum of its proper divisors (3010701485).

10085031187 is a wasteful number, since it uses less digits than its factorization.

10085031187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435199 (or 435192 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 34.

Adding to 10085031187 its reverse (78113058001), we get a palindrome (88198089188).

The spelling of 10085031187 in words is "ten billion, eighty-five million, thirty-one thousand, one hundred eighty-seven".

Divisors: 1 7 11 43 49 77 301 473 539 2107 3311 23177 435131 3045917 4786441 18710633 21321419 33505087 130974431 205816963 234535609 916821017 1440718741 10085031187