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2102314221 = 32783402049
BaseRepresentation
bin111110101001110…
…1100010011101101
312102111212121221200
41331103230103231
513301143023341
6544335520113
7103045242660
oct17523542355
95374777850
102102314221
11989779877
124a8089039
1327671b317
1415d2cd6d7
15c4872db6
hex7d4ec4ed

2102314221 has 24 divisors (see below), whose sum is σ = 3512308800. Its totient is φ = 1186845696.

The previous prime is 2102314217. The next prime is 2102314243. The reversal of 2102314221 is 1224132012.

It is a happy number.

2102314221 is a `hidden beast` number, since 2 + 10 + 231 + 422 + 1 = 666.

It is not a de Polignac number, because 2102314221 - 22 = 2102314217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102314194 and 2102314203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102314121) 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 23 ways as a sum of consecutive naturals, for example, 195796 + ... + 206253.

It is an arithmetic number, because the mean of its divisors is an integer number (146346200).

Almost surely, 22102314221 is an apocalyptic number.

2102314221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102314221 is a deficient number, since it is larger than the sum of its proper divisors (1409994579).

2102314221 is a wasteful number, since it uses less digits than its factorization.

2102314221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402145 (or 402142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102314221 is about 45851.0002180978. Note that the first 3 decimals coincide. The cubic root of 2102314221 is about 1281.0493959786.

Adding to 2102314221 its reverse (1224132012), we get a palindrome (3326446233).

The spelling of 2102314221 in words is "two billion, one hundred two million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 5229 402049 1206147 2814343 3618441 8443029 25329087 33370067 100110201 233590469 300330603 700771407 2102314221