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202112021110001 = 10114338573162889
BaseRepresentation
bin101101111101000111011111…
…001110010001110011110001
3222111121201110020221220121112
4231331013133032101303301
5202442400404401010001
61553504551455403105
760400053203456162
oct5575073716216361
9874551406856545
10202112021110001
115944325495a092
121a8027b6b23495
1388a110a978c12
1437ca3b9c89769
1518575e67e6cbb
hexb7d1df391cf1

202112021110001 has 16 divisors (see below), whose sum is σ = 204280647414480. Its totient is φ = 199946714035200.

The previous prime is 202112021109983. The next prime is 202112021110099. The reversal of 202112021110001 is 100011120211202.

It can be written as a sum of positive squares in 8 ways, for example, as 15374985999025 + 186737035110976 = 3921095^2 + 13665176^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112021110001 - 242 = 197713974598897 is a prime.

It is a super-2 number, since 2×2021120211100012 (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 (202112021110801) 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 15 ways as a sum of consecutive naturals, for example, 1240714565 + ... + 1240877453.

It is an arithmetic number, because the mean of its divisors is an integer number (12767540463405).

Almost surely, 2202112021110001 is an apocalyptic number.

It is an amenable number.

202112021110001 is a deficient number, since it is larger than the sum of its proper divisors (2168626304479).

202112021110001 is a wasteful number, since it uses less digits than its factorization.

202112021110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172996.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202112021110001 its reverse (100011120211202), we get a palindrome (302123141321203).

The spelling of 202112021110001 in words is "two hundred two trillion, one hundred twelve billion, twenty-one million, one hundred ten thousand, one".

Divisors: 1 101 1433 8573 144733 162889 865873 12285109 16451789 233419937 1240796009 1396447397 23575413637 141041187097 2001109119901 202112021110001