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201321030101031 = 32891032440166177
BaseRepresentation
bin101101110001100110110100…
…011111000010100000100111
3222101211002202201211100000100
4231301212310133002200213
5202341420432201213111
61552101334321115143
760255651542023131
oct5561466437024047
9871732681740010
10201321030101031
1159168851077725
121a6b5445788ab3
1388446512aa089
14379ddc01da051
151841c4e3aa756
hexb719b47c2827

201321030101031 has 24 divisors (see below), whose sum is σ = 296919420539040. Its totient is φ = 131417589574656.

The previous prime is 201321030101021. The next prime is 201321030101033. The reversal of 201321030101031 is 130101030123102.

201321030101031 is a `hidden beast` number, since 2 + 0 + 1 + 321 + 0 + 301 + 0 + 10 + 31 = 666.

201321030101031 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201321030101031 - 27 = 201321030100903 is a prime.

It is a super-2 number, since 2×2013210301010312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201321030100995 and 201321030101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321030101033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220000586 + ... + 1220165591.

It is an arithmetic number, because the mean of its divisors is an integer number (12371642522460).

Almost surely, 2201321030101031 is an apocalyptic number.

201321030101031 is a deficient number, since it is larger than the sum of its proper divisors (95598390438009).

201321030101031 is a wasteful number, since it uses less digits than its factorization.

201321030101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440166375 (or 2440166372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201321030101031 its reverse (130101030123102), we get a palindrome (331422060224133).

The spelling of 201321030101031 in words is "two hundred one trillion, three hundred twenty-one billion, thirty million, one hundred one thousand, thirty-one".

Divisors: 1 3 9 89 103 267 309 801 927 9167 27501 82503 2440166177 7320498531 21961495593 217174789753 251337116231 651524369259 754011348693 1954573107777 2262034046079 22369003344559 67107010033677 201321030101031