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202121020121 = 2927725161337
BaseRepresentation
bin1011110000111101011…
…0100000001011011001
3201022201011100200010012
42330033112200023121
511302420440120441
6232504134531305
720413514216066
oct2741726401331
9638634320105
10202121020121
11787a0056a99
1233209b06b35
13160a1889877
149ad5a7dc6d
1553ce78e9eb
hex2f0f5a02d9

202121020121 has 8 divisors (see below), whose sum is σ = 209845558920. Its totient is φ = 194446804608.

The previous prime is 202121020099. The next prime is 202121020159. The reversal of 202121020121 is 121020121202.

202121020121 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 4 ways, for example, as 14514225625 + 187606794496 = 120475^2 + 433136^2 .

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 202121020121 - 210 = 202121019097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 202121020096 and 202121020105.

It is not an unprimeable number, because it can be changed into a prime (202121020921) 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 7 ways as a sum of consecutive naturals, for example, 12572636 + ... + 12588701.

It is an arithmetic number, because the mean of its divisors is an integer number (26230694865).

Almost surely, 2202121020121 is an apocalyptic number.

It is an amenable number.

202121020121 is a deficient number, since it is larger than the sum of its proper divisors (7724538799).

202121020121 is a wasteful number, since it uses less digits than its factorization.

202121020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25161643.

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

Adding to 202121020121 its reverse (121020121202), we get a palindrome (323141141323).

It can be divided in two parts, 202 and 121020121, that multiplied together give a palindrome (24446064442).

The spelling of 202121020121 in words is "two hundred two billion, one hundred twenty-one million, twenty thousand, one hundred twenty-one".

Divisors: 1 29 277 8033 25161337 729678773 6969690349 202121020121