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4012132331 = 157199281457
BaseRepresentation
bin1110111100100100…
…0100011111101011
3101100121112102212202
43233021010133223
531204101213311
61502041530415
7201265363544
oct35711043753
911317472782
104012132331
111779820449
1293b7a3a0b
134bc2ab9cc
142a0bd14cb
1518736ee3b
hexef2447eb

4012132331 has 16 divisors (see below), whose sum is σ = 4081329600. Its totient is φ = 3943779840.

The previous prime is 4012132309. The next prime is 4012132343. The reversal of 4012132331 is 1332312104.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4012132331 is a prime.

It is a super-4 number, since 4×40121323314 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4012132031) 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 15 ways as a sum of consecutive naturals, for example, 8779055 + ... + 8779511.

It is an arithmetic number, because the mean of its divisors is an integer number (255083100).

Almost surely, 24012132331 is an apocalyptic number.

4012132331 is a deficient number, since it is larger than the sum of its proper divisors (69197269).

4012132331 is a wasteful number, since it uses less digits than its factorization.

4012132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094.

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

The square root of 4012132331 is about 63341.3950825209. The cubic root of 4012132331 is about 1589.0043383417.

Adding to 4012132331 its reverse (1332312104), we get a palindrome (5344444435).

The spelling of 4012132331 in words is "four billion, twelve million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 157 199 281 457 31243 44117 55919 71749 90943 128417 8779283 14278051 20161469 25554983 4012132331