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20010122121001 = 29937736397237
BaseRepresentation
bin1001000110010111110000…
…01110001000111100101001
32121211221121211000112022011
410203023320032020330221
510110321212230333001
6110320305002155521
74133453323440505
oct443137016107451
977757554015264
1020010122121001
1164152773023a1
1222b21194b2ba1
13b21c3c38b64c
144d26d06cd305
1524a798817d51
hex1232f8388f29

20010122121001 has 8 divisors (see below), whose sum is σ = 20722218277320. Its totient is φ = 19299498761088.

The previous prime is 20010122120977. The next prime is 20010122121013. The reversal of 20010122121001 is 10012122101002.

It can be written as a sum of positive squares in 4 ways, for example, as 2673058232601 + 17337063888400 = 1634949^2 + 4163780^2 .

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 20010122121001 - 223 = 20010113732393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20010122121061) 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, 368171446 + ... + 368225791.

It is an arithmetic number, because the mean of its divisors is an integer number (2590277284665).

Almost surely, 220010122121001 is an apocalyptic number.

It is an amenable number.

20010122121001 is a deficient number, since it is larger than the sum of its proper divisors (712096156319).

20010122121001 is an equidigital number, since it uses as much as digits as its factorization.

20010122121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736398203.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20010122121001 its reverse (10012122101002), we get a palindrome (30022244222003).

The spelling of 20010122121001 in words is "twenty trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one".

Divisors: 1 29 937 27173 736397237 21355519873 690004211069 20010122121001