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2142103212 = 2233292233067
BaseRepresentation
bin111111110101101…
…1110011010101100
312112021202010012000
41333223132122230
513341334300322
6552320412300
7104040401604
oct17753363254
95467663160
102142103212
119aa185937
124b9477090
13281a3cac2
141646c9c04
15c80d23ac
hex7fade6ac

2142103212 has 96 divisors (see below), whose sum is σ = 5772748800. Its totient is φ = 686097216.

The previous prime is 2142103199. The next prime is 2142103213. The reversal of 2142103212 is 2123012412.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2142103213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696903 + ... + 699969.

It is an arithmetic number, because the mean of its divisors is an integer number (60132800).

Almost surely, 22142103212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886374400).

2142103212 is an abundant number, since it is smaller than the sum of its proper divisors (3630645588).

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

2142103212 is a wasteful number, since it uses less digits than its factorization.

2142103212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3324 counting only the distinct ones).

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

The square root of 2142103212 is about 46282.8608882381. The cubic root of 2142103212 is about 1289.0807729324.

Adding to 2142103212 its reverse (2123012412), we get a palindrome (4265115624).

The spelling of 2142103212 in words is "two billion, one hundred forty-two million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 223 261 348 446 522 669 783 892 1044 1338 1566 2007 2676 3067 3132 4014 6021 6134 6467 8028 9201 12042 12268 12934 18402 19401 24084 25868 27603 36804 38802 55206 58203 77604 82809 88943 110412 116406 165618 174609 177886 232812 266829 331236 349218 355772 533658 683941 698436 800487 1067316 1367882 1600974 2051823 2401461 2735764 3201948 4103646 4802922 6155469 8207292 9605844 12310938 18466407 19834289 24621876 36932814 39668578 59502867 73865628 79337156 119005734 178508601 238011468 357017202 535525803 714034404 1071051606 2142103212