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20102233212001 = 31224049869809
BaseRepresentation
bin1001001001000011010100…
…11110000100010001100001
32122011202101012021202212001
410210201222132010101201
510113323333200241001
6110430501034404001
74143224036003353
oct444415236042141
978152335252761
1020102233212001
116450344647396
122307b45290601
13b2a82b682aa5
144d6d4bb230d3
1524cd8a19d001
hex12486a784461

20102233212001 has 12 divisors (see below), whose sum is σ = 20772497986500. Its totient is φ = 19452942789120.

The previous prime is 20102233211993. The next prime is 20102233212043. The reversal of 20102233212001 is 10021233220102.

It can be written as a sum of positive squares in 2 ways, for example, as 14392766688400 + 5709466523601 = 3793780^2 + 2389449^2 .

It is not a de Polignac number, because 20102233212001 - 23 = 20102233211993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20102233212001.

It is not an unprimeable number, because it can be changed into a prime (20102233212091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22676185 + ... + 23545993.

It is an arithmetic number, because the mean of its divisors is an integer number (1731041498875).

Almost surely, 220102233212001 is an apocalyptic number.

It is an amenable number.

20102233212001 is a deficient number, since it is larger than the sum of its proper divisors (670264774499).

20102233212001 is an equidigital number, since it uses as much as digits as its factorization.

20102233212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893920 (or 893889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20102233212001 its reverse (10021233220102), we get a palindrome (30123466432103).

The spelling of 20102233212001 in words is "twenty trillion, one hundred two billion, two hundred thirty-three million, two hundred twelve thousand, one".

Divisors: 1 31 961 24049 745519 869809 23111089 26964079 835886449 20918036641 648459135871 20102233212001