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2132133041 = 29973831979
BaseRepresentation
bin111111100010101…
…1100010010110001
312111120222120200102
41333011130102301
513331311224131
6551323002145
7103556555213
oct17705342261
95446876612
102132133041
119a4596125
124b6069355
1327c95b9ac
141632525b3
15c72b31cb
hex7f15c4b1

2132133041 has 16 divisors (see below), whose sum is σ = 2235340800. Its totient is φ = 2031042048.

The previous prime is 2132133011. The next prime is 2132133049. The reversal of 2132133041 is 1403312312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2132133041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2132133049) 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, 1076390 + ... + 1078368.

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

Almost surely, 22132133041 is an apocalyptic number.

It is an amenable number.

2132133041 is a deficient number, since it is larger than the sum of its proper divisors (103207759).

2132133041 is a wasteful number, since it uses less digits than its factorization.

2132133041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2132133041 is about 46175.0261613353. The cubic root of 2132133041 is about 1287.0777030335.

Adding to 2132133041 its reverse (1403312312), we get a palindrome (3535445353).

The spelling of 2132133041 in words is "two billion, one hundred thirty-two million, one hundred thirty-three thousand, forty-one".

Divisors: 1 29 97 383 1979 2813 11107 37151 57391 191963 757957 1077379 5566927 21980753 73521829 2132133041