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2132120033 = 23163659863
BaseRepresentation
bin111111100010101…
…1001000111100001
312111120221220211122
41333011121013201
513331310320113
6551322422025
7103556502251
oct17705310741
95446856748
102132120033
119a458737a
124b6061915
1327c955ab4
1416324b961
15c72ae408
hex7f1591e1

2132120033 has 16 divisors (see below), whose sum is σ = 2244464640. Its totient is φ = 2021486544.

The previous prime is 2132119961. The next prime is 2132120051. The reversal of 2132120033 is 3300212312.

It is a cyclic number.

It is not a de Polignac number, because 2132120033 - 28 = 2132119777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132119993 and 2132120020.

It is not an unprimeable number, because it can be changed into a prime (2132120063) 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, 2470160 + ... + 2471022.

It is an arithmetic number, because the mean of its divisors is an integer number (140279040).

Almost surely, 22132120033 is an apocalyptic number.

2132120033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2132120033 is a deficient number, since it is larger than the sum of its proper divisors (112344607).

2132120033 is a wasteful number, since it uses less digits than its factorization.

2132120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2132120033 is about 46174.8853057590. The cubic root of 2132120033 is about 1287.0750855701.

Adding to 2132120033 its reverse (3300212312), we get a palindrome (5432332345).

The spelling of 2132120033 in words is "two billion, one hundred thirty-two million, one hundred twenty thousand, thirty-three".

Divisors: 1 23 163 659 863 3749 15157 19849 107417 140669 568717 2470591 3235387 13080491 92700871 2132120033