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107015064093 = 3276161345427
BaseRepresentation
bin110001110101010011…
…0000100101000011101
3101020020001201112002100
41203222212010220131
53223131324022333
6121055000115313
710505635015260
oct1435246045035
9336201645070
10107015064093
1141426239633
12188a7165b39
13a125c8b242
1452729bccd7
152bb502c213
hex18ea984a1d

107015064093 has 48 divisors (see below), whose sum is σ = 179852722816. Its totient is φ = 60049537920.

The previous prime is 107015064053. The next prime is 107015064097. The reversal of 107015064093 is 390460510701.

107015064093 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 1 + 5 + 0 + 640 + 9 + 3 = 666.

It is not a de Polignac number, because 107015064093 - 216 = 107014998557 is a prime.

It is a super-2 number, since 2×1070150640932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107015064097) 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 47 ways as a sum of consecutive naturals, for example, 2333046 + ... + 2378472.

Almost surely, 2107015064093 is an apocalyptic number.

It is an amenable number.

107015064093 is a deficient number, since it is larger than the sum of its proper divisors (72837658723).

107015064093 is a wasteful number, since it uses less digits than its factorization.

107015064093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46114 (or 46111 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 107015064093 its reverse (390460510701), we get a palindrome (497475574794).

The spelling of 107015064093 in words is "one hundred seven billion, fifteen million, sixty-four thousand, ninety-three".

Divisors: 1 3 7 9 21 61 63 183 427 549 613 1281 1839 3843 4291 5517 12873 37393 38619 45427 112179 136281 261751 317989 336537 408843 785253 953967 2355759 2771047 2861901 8313141 19397329 24939423 27846751 58191987 83540253 174575961 194927257 250620759 584781771 1698651811 1754345313 5095955433 11890562677 15287866299 35671688031 107015064093