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2102220112 = 243110341149
BaseRepresentation
bin111110101001101…
…0101010101010000
312102111200211212011
41331103111111100
513301132020422
6544333512304
7103044401416
oct17523252520
95374624764
102102220112
119897150a3
124a8042694
132766b7535
1415d2a72b6
15c4855077
hex7d4d5550

2102220112 has 40 divisors (see below), whose sum is σ = 4245363200. Its totient is φ = 1007303040.

The previous prime is 2102220061. The next prime is 2102220149. The reversal of 2102220112 is 2110222012.

It is a happy number.

It is a super-3 number, since 3×21022201123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102220092 and 2102220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30514 + ... + 71662.

It is an arithmetic number, because the mean of its divisors is an integer number (106134080).

Almost surely, 22102220112 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 2102220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122681600).

2102220112 is an abundant number, since it is smaller than the sum of its proper divisors (2143143088).

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

2102220112 is a wasteful number, since it uses less digits than its factorization.

2102220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41291 (or 41285 counting only the distinct ones).

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

The square root of 2102220112 is about 45849.9739585531. The cubic root of 2102220112 is about 1281.0302805239.

Adding to 2102220112 its reverse (2110222012), we get a palindrome (4212442124).

The spelling of 2102220112 in words is "two billion, one hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 103 124 206 248 412 496 824 1648 3193 6386 12772 25544 41149 51088 82298 164596 329192 658384 1275619 2551238 4238347 5102476 8476694 10204952 16953388 20409904 33906776 67813552 131388757 262777514 525555028 1051110056 2102220112