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2133166141 = 311311393779
BaseRepresentation
bin111111100100101…
…1000100000111101
312111122221001211101
41333021120200331
513332042304031
6551401053101
7103601420161
oct17711304075
95448831741
102133166141
119a5131327
124b6487191
1327cc30cb2
14163440ca1
15c7419361
hex7f25883d

2133166141 has 16 divisors (see below), whose sum is σ = 2235340800. Its totient is φ = 2033319600.

The previous prime is 2133166127. The next prime is 2133166159. The reversal of 2133166141 is 1416613312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2133166141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133166121) 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 15 ways as a sum of consecutive naturals, for example, 562590 + ... + 566368.

It is an arithmetic number, because the mean of its divisors is an integer number (139708800).

Almost surely, 22133166141 is an apocalyptic number.

It is an amenable number.

2133166141 is a deficient number, since it is larger than the sum of its proper divisors (102174659).

2133166141 is a wasteful number, since it uses less digits than its factorization.

2133166141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080.

The product of its digits is 2592, while the sum is 28.

The square root of 2133166141 is about 46186.2115896076. The cubic root of 2133166141 is about 1287.2855489241.

Adding to 2133166141 its reverse (1416613312), we get a palindrome (3549779453).

It can be divided in two parts, 2133 and 166141, that multiplied together give a triangular number (354378753 = T26622).

The spelling of 2133166141 in words is "two billion, one hundred thirty-three million, one hundred sixty-six thousand, one hundred forty-one".

Divisors: 1 31 131 139 3779 4061 4309 18209 117149 495049 525281 564479 15346519 16283711 68811811 2133166141