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133121131011 = 32111344657889
BaseRepresentation
bin111101111111010100…
…0110100001000000011
3110201121102220010110200
41323332220310020003
54140113002143021
6141053251500243
712421602641451
oct1737650641003
9421542803420
10133121131011
1151502454050
1221971bb7683
13c7266baa0b
14662bc039d1
1536e1d83126
hex1efea34203

133121131011 has 12 divisors (see below), whose sum is σ = 209766630840. Its totient is φ = 80679473280.

The previous prime is 133121130991. The next prime is 133121131037. The reversal of 133121131011 is 110131121331.

133121131011 is a `hidden beast` number, since 1 + 331 + 2 + 11 + 310 + 11 = 666.

It is not a de Polignac number, because 133121131011 - 25 = 133121130979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133121130011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672328846 + ... + 672329043.

It is an arithmetic number, because the mean of its divisors is an integer number (17480552570).

Almost surely, 2133121131011 is an apocalyptic number.

133121131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133121131011 is a deficient number, since it is larger than the sum of its proper divisors (76645499829).

133121131011 is a wasteful number, since it uses less digits than its factorization.

133121131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344657906 (or 1344657903 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 133121131011 its reverse (110131121331), we get a palindrome (243252252342).

The spelling of 133121131011 in words is "one hundred thirty-three billion, one hundred twenty-one million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 9 11 33 99 1344657889 4033973667 12101921001 14791236779 44373710337 133121131011