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133004352041 = 1121376379867
BaseRepresentation
bin111101111011110101…
…1010101101000101001
3110201022022011010211122
41323313223111220221
54134343103231131
6141033520505025
712415654224131
oct1736753255051
9421268133748
10133004352041
1151452542300
122193aa7b175
13c708450c32
14661a4c5ac1
1536d69b6d7b
hex1ef7ad5a29

133004352041 has 12 divisors (see below), whose sum is σ = 146207319216. Its totient is φ = 120902748120.

The previous prime is 133004352037. The next prime is 133004352071. The reversal of 133004352041 is 140253400331.

It is not a de Polignac number, because 133004352041 - 22 = 133004352037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133004352041.

It is not an unprimeable number, because it can be changed into a prime (133004352071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1625390 + ... + 1705256.

It is an arithmetic number, because the mean of its divisors is an integer number (12183943268).

Almost surely, 2133004352041 is an apocalyptic number.

133004352041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133004352041 is a deficient number, since it is larger than the sum of its proper divisors (13202967175).

133004352041 is a wasteful number, since it uses less digits than its factorization.

133004352041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93652 (or 93641 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 133004352041 its reverse (140253400331), we get a palindrome (273257752372).

The spelling of 133004352041 in words is "one hundred thirty-three billion, four million, three hundred fifty-two thousand, forty-one".

Divisors: 1 11 121 13763 79867 151393 878537 1665323 9663907 1099209521 12091304731 133004352041