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202331300121 = 3297723010497
BaseRepresentation
bin1011110001101111100…
…0101010000100011001
3201100020211001000001100
42330123320222010121
511303333303100441
6232541045542013
720421646450236
oct2743370520431
9640224030040
10202331300121
1178898820515
1233268414909
1316106302cc2
149b1597a78d
1553e2e79cb6
hex2f1be2a119

202331300121 has 12 divisors (see below), whose sum is σ = 292555471572. Its totient is φ = 134749464576.

The previous prime is 202331299993. The next prime is 202331300159. The reversal of 202331300121 is 121003133202.

202331300121 is a `hidden beast` number, since 20 + 2 + 331 + 300 + 12 + 1 = 666.

202331300121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166708890000 + 35622410121 = 408300^2 + 188739^2 .

It is not a de Polignac number, because 202331300121 - 27 = 202331299993 is a prime.

It is a super-2 number, since 2×2023313001212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202331300094 and 202331300103.

It is not an unprimeable number, because it can be changed into a prime (202331300191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11496456 + ... + 11514041.

It is an arithmetic number, because the mean of its divisors is an integer number (24379622631).

Almost surely, 2202331300121 is an apocalyptic number.

It is an amenable number.

202331300121 is a deficient number, since it is larger than the sum of its proper divisors (90224171451).

202331300121 is a wasteful number, since it uses less digits than its factorization.

202331300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23011480 (or 23011477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202331300121 its reverse (121003133202), we get a palindrome (323334433323).

The spelling of 202331300121 in words is "two hundred two billion, three hundred thirty-one million, three hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 977 2931 8793 23010497 69031491 207094473 22481255569 67443766707 202331300121