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133155130041 = 3319283917179
BaseRepresentation
bin111110000000010101…
…0100000101010111001
3110201200210212110101000
41330000222200222321
54140200203130131
6141100504315213
712422464634133
oct1740052405271
9421623773330
10133155130041
115151a66601a
1221981472b09
13c730762c9b
146632534053
1536e4d4bce6
hex1f00aa0ab9

133155130041 has 32 divisors (see below), whose sum is σ = 208383296000. Its totient is φ = 83800719504.

The previous prime is 133155130027. The next prime is 133155130051. The reversal of 133155130041 is 140031551331.

It is a happy number.

133155130041 is a `hidden beast` number, since 1 + 3 + 315 + 5 + 1 + 300 + 41 = 666.

It is a de Polignac number, because none of the positive numbers 2k-133155130041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133155129987 and 133155130014.

It is not an unprimeable number, because it can be changed into a prime (133155130001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313411 + ... + 603768.

It is an arithmetic number, because the mean of its divisors is an integer number (6511978000).

Almost surely, 2133155130041 is an apocalyptic number.

It is an amenable number.

133155130041 is a deficient number, since it is larger than the sum of its proper divisors (75228165959).

133155130041 is a wasteful number, since it uses less digits than its factorization.

133155130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917490 (or 917484 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 133155130041 its reverse (140031551331), we get a palindrome (273186681372).

The spelling of 133155130041 in words is "one hundred thirty-three billion, one hundred fifty-five million, one hundred thirty thousand, forty-one".

Divisors: 1 3 9 19 27 57 171 283 513 849 2547 5377 7641 16131 48393 145179 917179 2751537 8254611 17426401 24763833 52279203 156837609 259561657 470512827 778684971 2336054913 4931671483 7008164739 14795014449 44385043347 133155130041