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202211000221001 = 292240441141761
BaseRepresentation
bin101101111110100011101010…
…110101100111110101001001
3222111222011221021121201102112
4231332203222311213311021
5203001011112024033001
61554022241233312105
760410156043153002
oct5576435265476511
9874864837551375
10202211000221001
1159481226aa4172
121a819a1aa05635
1388aa552b16515
1437d10c94c21a9
151859e8b0c5cbb
hexb7e8ead67d49

202211000221001 has 6 divisors (see below), whose sum is σ = 209424234474702. Its totient is φ = 195238207109120.

The previous prime is 202211000220989. The next prime is 202211000221019. The reversal of 202211000221001 is 100122000112202.

It can be written as a sum of positive squares in 3 ways, for example, as 23546368051600 + 178664632169401 = 4852460^2 + 13366549^2 .

It is not a de Polignac number, because 202211000221001 - 226 = 202210933112137 is a prime.

It is a super-2 number, since 2×2022110002210012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202211000221081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120220570040 + ... + 120220571721.

It is an arithmetic number, because the mean of its divisors is an integer number (34904039079117).

Almost surely, 2202211000221001 is an apocalyptic number.

It is an amenable number.

202211000221001 is a deficient number, since it is larger than the sum of its proper divisors (7213234253701).

202211000221001 is an equidigital number, since it uses as much as digits as its factorization.

202211000221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240441141819 (or 240441141790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202211000221001 its reverse (100122000112202), we get a palindrome (302333000333203).

The spelling of 202211000221001 in words is "two hundred two trillion, two hundred eleven billion, two hundred twenty-one thousand, one".

Divisors: 1 29 841 240441141761 6972793111069 202211000221001