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40121012133 = 3229153720353
BaseRepresentation
bin100101010111011001…
…100000111110100101
310211120002202120221100
4211113121200332211
51124131434342013
630233100310313
72620143655566
oct452731407645
9124502676840
1040121012133
11160192a1274
127938542399
133a25172087
141d286ac16d
15109c43c473
hex957660fa5

40121012133 has 12 divisors (see below), whose sum is σ = 59950938060. Its totient is φ = 25825019136.

The previous prime is 40121012131. The next prime is 40121012143. The reversal of 40121012133 is 33121012104.

40121012133 is a `hidden beast` number, since 401 + 210 + 1 + 21 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18916701444 + 21204310689 = 137538^2 + 145617^2 .

It is not a de Polignac number, because 40121012133 - 21 = 40121012131 is a prime.

It is a super-2 number, since 2×401210121332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121012131) 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, 76859916 + ... + 76860437.

It is an arithmetic number, because the mean of its divisors is an integer number (4995911505).

Almost surely, 240121012133 is an apocalyptic number.

It is an amenable number.

40121012133 is a deficient number, since it is larger than the sum of its proper divisors (19829925927).

40121012133 is a wasteful number, since it uses less digits than its factorization.

40121012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153720388 (or 153720385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 40121012133 its reverse (33121012104), we get a palindrome (73242024237).

The spelling of 40121012133 in words is "forty billion, one hundred twenty-one million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 153720353 461161059 1383483177 4457890237 13373670711 40121012133