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2102212021 = 71331745201
BaseRepresentation
bin111110101001101…
…0011010110110101
312102111200102202111
41331103103112311
513301131241041
6544333411021
7103044336010
oct17523232665
95374612674
102102212021
1198970a008
124a8039a71
132766b3950
1415d2a4377
15c4852981
hex7d4d35b5

2102212021 has 16 divisors (see below), whose sum is σ = 2670803968. Its totient is φ = 1609632000.

The previous prime is 2102212009. The next prime is 2102212039. The reversal of 2102212021 is 1202122012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2102212021 - 229 = 1565341109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2102211992 and 2102212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102212921) 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, 369780 + ... + 375421.

It is an arithmetic number, because the mean of its divisors is an integer number (166925248).

Almost surely, 22102212021 is an apocalyptic number.

It is an amenable number.

2102212021 is a deficient number, since it is larger than the sum of its proper divisors (568591947).

2102212021 is a wasteful number, since it uses less digits than its factorization.

2102212021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745252.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2102212021 is about 45849.8857250484. The cubic root of 2102212021 is about 1281.0286370504.

Adding to 2102212021 its reverse (1202122012), we get a palindrome (3304334033).

Subtracting from 2102212021 its reverse (1202122012), we obtain a palindrome (900090009).

The spelling of 2102212021 in words is "two billion, one hundred two million, two hundred twelve thousand, twenty-one".

Divisors: 1 7 13 31 91 217 403 2821 745201 5216407 9687613 23101231 67813291 161708617 300316003 2102212021