Search a number
-
+
1001220122001 = 311731373033697
BaseRepresentation
bin11101001000111010101…
…11101010010110010001
310112201022202022001012210
432210131113222112101
5112400444322401001
62043542033542333
7132223111422021
oct16443527522621
93481282261183
101001220122001
11356684725690
121420627149a9
1373550cb6b18
14366604d3a81
151b09d928dd6
hexe91d5ea591

1001220122001 has 32 divisors (see below), whose sum is σ = 1487045950848. Its totient is φ = 594119024640.

The previous prime is 1001220121999. The next prime is 1001220122033. The reversal of 1001220122001 is 1002210221001.

It is not a de Polignac number, because 1001220122001 - 21 = 1001220121999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001220121001) 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, 1186816 + ... + 1846881.

It is an arithmetic number, because the mean of its divisors is an integer number (46470185964).

Almost surely, 21001220122001 is an apocalyptic number.

1001220122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001220122001 is a deficient number, since it is larger than the sum of its proper divisors (485825828847).

1001220122001 is a wasteful number, since it uses less digits than its factorization.

1001220122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033921.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001220122001 its reverse (1002210221001), we get a palindrome (2003430343002).

The spelling of 1001220122001 in words is "one trillion, one billion, two hundred twenty million, one hundred twenty-two thousand, one".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 4521 10001 30003 110011 330033 3033697 9101091 33370667 100112001 221459881 415616489 664379643 1246849467 2436058691 4571781379 7308176073 13715344137 30340003697 91020011091 333740040667 1001220122001