Search a number
-
+
133130011202001 = 32113493853144951
BaseRepresentation
bin11110010001010010111111…
…000001101101000111010001
3122110101002211101021221002200
4132101102333001231013101
5114422200230331431001
61151051025520433413
740020216533020032
oct3621227701550721
9573332741257080
10133130011202001
11394681366a4290
1212b215a3478869
13593914c3ac5c8
1424c3753c38a89
15105d03cb15086
hex7914bf06d1d1

133130011202001 has 24 divisors (see below), whose sum is σ = 210381714379200. Its totient is φ = 80453666556000.

The previous prime is 133130011201973. The next prime is 133130011202003. The reversal of 133130011202001 is 100202110031331.

133130011202001 is a `hidden beast` number, since 1 + 331 + 300 + 1 + 12 + 0 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 133130011202001 - 25 = 133130011201969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133130011202003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926537925 + ... + 1926607026.

It is an arithmetic number, because the mean of its divisors is an integer number (8765904765800).

Almost surely, 2133130011202001 is an apocalyptic number.

133130011202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133130011202001 is a deficient number, since it is larger than the sum of its proper divisors (77251703177199).

133130011202001 is a wasteful number, since it uses less digits than its factorization.

133130011202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853145317 (or 3853145314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133130011202001 its reverse (100202110031331), we get a palindrome (233332121233332).

The spelling of 133130011202001 in words is "one hundred thirty-three trillion, one hundred thirty billion, eleven million, two hundred two thousand, one".

Divisors: 1 3 9 11 33 99 349 1047 3141 3839 11517 34551 3853144951 11559434853 34678304559 42384594461 127153783383 381461350149 1344747587899 4034242763697 12102728291091 14792223466889 44376670400667 133130011202001