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107151206405 = 5105012040781
BaseRepresentation
bin110001111001010110…
…1011010100000000101
3101020120112220021020012
41203302231122200011
53223421202101110
6121120302120005
710512210140525
oct1436255324005
9336515807205
10107151206405
1141496076341
1218924880005
13a148247719
145286adb685
152bc1e70905
hex18f2b5a805

107151206405 has 8 divisors (see below), whose sum is σ = 128593755384. Its totient is φ = 85712760000.

The previous prime is 107151206359. The next prime is 107151206413. The reversal of 107151206405 is 504602151701.

It can be written as a sum of positive squares in 4 ways, for example, as 5355751489 + 101795454916 = 73183^2 + 319054^2 .

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

It is not a de Polignac number, because 107151206405 - 216 = 107151140869 is a prime.

It is a super-2 number, since 2×1071512064052 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 967886 + ... + 1072895.

It is an arithmetic number, because the mean of its divisors is an integer number (16074219423).

Almost surely, 2107151206405 is an apocalyptic number.

It is an amenable number.

107151206405 is a deficient number, since it is larger than the sum of its proper divisors (21442548979).

107151206405 is a wasteful number, since it uses less digits than its factorization.

107151206405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051287.

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 107151206405 in words is "one hundred seven billion, one hundred fifty-one million, two hundred six thousand, four hundred five".

Divisors: 1 5 10501 52505 2040781 10203905 21430241281 107151206405