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133001112033 = 32103457142841
BaseRepresentation
bin111101111011101111…
…0111110100111100001
3110201022002001112101100
41323313132332213201
54134341241041113
6141033323225013
712415614541056
oct1736736764741
9421262045340
10133001112033
115145072a009
1221939978169
13c70788827a
146619cc102d
1536d6576d73
hex1ef77be9e1

133001112033 has 12 divisors (see below), whose sum is σ = 192115919268. Its totient is φ = 88665930240.

The previous prime is 133001111977. The next prime is 133001112061. The reversal of 133001112033 is 330211100331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21239273169 + 111761838864 = 145737^2 + 334308^2 .

It is not a de Polignac number, because 133001112033 - 28 = 133001111777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133001111997 and 133001112015.

It is not an unprimeable number, because it can be changed into a prime (133001112073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 859693 + ... + 1002533.

It is an arithmetic number, because the mean of its divisors is an integer number (16009659939).

Almost surely, 2133001112033 is an apocalyptic number.

It is an amenable number.

133001112033 is a deficient number, since it is larger than the sum of its proper divisors (59114807235).

133001112033 is a wasteful number, since it uses less digits than its factorization.

133001112033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246304 (or 246301 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133001112033 its reverse (330211100331), we get a palindrome (463212212364).

The spelling of 133001112033 in words is "one hundred thirty-three billion, one million, one hundred twelve thousand, thirty-three".

Divisors: 1 3 9 103457 142841 310371 428523 931113 1285569 14777901337 44333704011 133001112033