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202212200021 = 13331111742071
BaseRepresentation
bin1011110001010011001…
…0010100111001010101
3201022221111221002102112
42330110302110321111
511303112310400041
6232521153120405
720416002224516
oct2742462247125
9638844832375
10202212200021
1178837573887
1233234559105
13160b7732880
149b03c16a0d
1553d77a0deb
hex2f14c94e55

202212200021 has 16 divisors (see below), whose sum is σ = 218625633408. Its totient is φ = 185922475200.

The previous prime is 202212200017. The next prime is 202212200027. The reversal of 202212200021 is 120002212202.

202212200021 is nontrivially palindromic in base 11.

202212200021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202212200021 - 22 = 202212200017 is a prime.

It is a super-3 number, since 3×2022122000213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202212199969 and 202212200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212200027) 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 15 ways as a sum of consecutive naturals, for example, 4785416 + ... + 4827486.

It is an arithmetic number, because the mean of its divisors is an integer number (13664102088).

Almost surely, 2202212200021 is an apocalyptic number.

It is an amenable number.

202212200021 is a deficient number, since it is larger than the sum of its proper divisors (16413433387).

202212200021 is a wasteful number, since it uses less digits than its factorization.

202212200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43532.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202212200021 its reverse (120002212202), we get a palindrome (322214412223).

The spelling of 202212200021 in words is "two hundred two billion, two hundred twelve million, two hundred thousand, twenty-one".

Divisors: 1 13 331 1117 4303 14521 42071 369727 546923 4806451 13925501 46993307 181031513 610912991 15554784617 202212200021