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12002333133001 = 37536120516641
BaseRepresentation
bin1010111010101000001011…
…0011011000100011001001
31120111102010020021112120211
42232222002303120203021
53033121234240224001
641305443513121121
72346066001221361
oct256520263304311
946442106245524
1012002333133001
1139081851761a2
12141a1710b91a1
13690a79b95a63
142d6cb77d39a1
1515c31cb89351
hexaea82cd88c9

12002333133001 has 8 divisors (see below), whose sum is σ = 12559300149384. Its totient is φ = 11457607150080.

The previous prime is 12002333132887. The next prime is 12002333133013. The reversal of 12002333133001 is 10033133320021.

It can be written as a sum of positive squares in 4 ways, for example, as 7353669415225 + 4648663717776 = 2711765^2 + 2156076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12002333133001 - 27 = 12002333132873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002333133101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060256360 + ... + 3060260281.

It is an arithmetic number, because the mean of its divisors is an integer number (1569912518673).

Almost surely, 212002333133001 is an apocalyptic number.

It is an amenable number.

12002333133001 is a deficient number, since it is larger than the sum of its proper divisors (556967016383).

12002333133001 is an equidigital number, since it uses as much as digits as its factorization.

12002333133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120516731.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12002333133001 its reverse (10033133320021), we get a palindrome (22035466453022).

The spelling of 12002333133001 in words is "twelve trillion, two billion, three hundred thirty-three million, one hundred thirty-three thousand, one".

Divisors: 1 37 53 1961 6120516641 226459115717 324387381973 12002333133001