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2102230314 = 2332315710781
BaseRepresentation
bin111110101001101…
…0111110100101010
312102111201100212000
41331103113310222
513301132332224
6544334031430
7103044443232
oct17523276452
95374640760
102102230314
11989721828
124a8048576
132766bc082
1415d2aacc2
15c48580c9
hex7d4d7d2a

2102230314 has 64 divisors (see below), whose sum is σ = 4906241280. Its totient is φ = 665945280.

The previous prime is 2102230307. The next prime is 2102230321. The reversal of 2102230314 is 4130322012.

It is an interprime number because it is at equal distance from previous prime (2102230307) and next prime (2102230321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 189604 + ... + 200384.

It is an arithmetic number, because the mean of its divisors is an integer number (76660020).

Almost surely, 22102230314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102230314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453120640).

2102230314 is an abundant number, since it is smaller than the sum of its proper divisors (2804010966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102230314 is a wasteful number, since it uses less digits than its factorization.

2102230314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2102230314 is about 45850.0852125708. The cubic root of 2102230314 is about 1281.0323527854.

Adding to 2102230314 its reverse (4130322012), we get a palindrome (6232552326).

The spelling of 2102230314 in words is "two billion, one hundred two million, two hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 157 207 314 414 471 621 942 1242 1413 2826 3611 4239 7222 8478 10781 10833 21562 21666 32343 32499 64686 64998 97029 97497 194058 194994 247963 291087 495926 582174 743889 1487778 1692617 2231667 3385234 4463334 5077851 6695001 10155702 13390002 15233553 30467106 38930191 45700659 77860382 91401318 116790573 233581146 350371719 700743438 1051115157 2102230314