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16506140101 = 112617221093
BaseRepresentation
bin11110101111101011…
…11011010111000101
31120121100012210111021
433113311323113011
5232301032440401
611325515511141
71123015606303
oct172765732705
946540183437
1016506140101
117000316400
123247a584b1
1317308ab009
14b28285273
156691732a1
hex3d7d7b5c5

16506140101 has 12 divisors (see below), whose sum is σ = 18172600236. Its totient is φ = 14981193920.

The previous prime is 16506140087. The next prime is 16506140111. The reversal of 16506140101 is 10104160561.

It can be written as a sum of positive squares in 2 ways, for example, as 6779052225 + 9727087876 = 82335^2 + 98626^2 .

It is not a de Polignac number, because 16506140101 - 213 = 16506131909 is a prime.

It is a super-2 number, since 2×165061401012 (a number of 21 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 (16506140111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35890 + ... + 185203.

It is an arithmetic number, because the mean of its divisors is an integer number (1514383353).

Almost surely, 216506140101 is an apocalyptic number.

16506140101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16506140101 is a deficient number, since it is larger than the sum of its proper divisors (1666460135).

16506140101 is a wasteful number, since it uses less digits than its factorization.

16506140101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221732 (or 221721 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 16506140101 in words is "sixteen billion, five hundred six million, one hundred forty thousand, one hundred one".

Divisors: 1 11 121 617 6787 74657 221093 2432023 26752253 136414381 1500558191 16506140101