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133103103032331 = 3321795209434323
BaseRepresentation
bin11110010000111001111011…
…001011001011110000001011
3122110021112101002211021121000
4132100321323023023300023
5114421230123334013311
61151030415453150043
740015244655241545
oct3620717313136013
9573245332737530
10133103103032331
1139457788742133
1212b18333a8b323
135936751741b13
1424c232029c695
15105c4b566e056
hex790e7b2cbc0b

133103103032331 has 32 divisors (see below), whose sum is σ = 197318605088000. Its totient is φ = 88677447655104.

The previous prime is 133103103032309. The next prime is 133103103032477. The reversal of 133103103032331 is 133230301301331.

133103103032331 is a `hidden beast` number, since 1 + 3 + 3 + 10 + 3 + 10 + 303 + 2 + 331 = 666.

It is not a de Polignac number, because 133103103032331 - 210 = 133103103031307 is a prime.

It is a super-2 number, since 2×1331031030323312 (a number of 29 digits) contains 22 as substring.

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 = 133103103032295 and 133103103032304.

It is not an unprimeable number, because it can be changed into a prime (133103103039331) 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, 306243936 + ... + 306678258.

It is an arithmetic number, because the mean of its divisors is an integer number (6166206409000).

Almost surely, 2133103103032331 is an apocalyptic number.

133103103032331 is a deficient number, since it is larger than the sum of its proper divisors (64215502055669).

133103103032331 is a wasteful number, since it uses less digits than its factorization.

133103103032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441720 (or 441714 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 133103103032331 its reverse (133230301301331), we get a palindrome (266333404333662).

The spelling of 133103103032331 in words is "one hundred thirty-three trillion, one hundred three billion, one hundred three million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 2179 5209 6537 15627 19611 46881 58833 140643 434323 1302969 3908907 11350411 11726721 34051233 102153699 306461097 946389817 2262388507 2839169451 6787165521 8517508353 20361496563 25552525059 61084489689 4929744556753 14789233670259 44367701010777 133103103032331