Search a number
-
+
2102281302 = 2311177325667
BaseRepresentation
bin111110101001110…
…0100010001010110
312102111210221210110
41331103210101112
513301141000202
6544335103450
7103045045002
oct17523442126
95374727713
102102281302
11989757070
124a8071b86
13276709344
1415d2c1702
15c486826c
hex7d4e4456

2102281302 has 64 divisors (see below), whose sum is σ = 4923327744. Its totient is φ = 591344640.

The previous prime is 2102281289. The next prime is 2102281417. The reversal of 2102281302 is 2031822012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69073 + ... + 94739.

It is an arithmetic number, because the mean of its divisors is an integer number (76926996).

Almost surely, 22102281302 is an apocalyptic number.

2102281302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102281302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461663872).

2102281302 is an abundant number, since it is smaller than the sum of its proper divisors (2821046442).

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

2102281302 is a wasteful number, since it uses less digits than its factorization.

2102281302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25773.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2102281302 is about 45850.6412387003. The cubic root of 2102281302 is about 1281.0427095241.

The spelling of 2102281302 in words is "two billion, one hundred two million, two hundred eighty-one thousand, three hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 73 102 146 187 219 374 438 561 803 1122 1241 1606 2409 2482 3723 4818 7446 13651 25667 27302 40953 51334 77001 81906 154002 282337 436339 564674 847011 872678 1309017 1694022 1873691 2618034 3747382 4799729 5621073 9599458 11242146 14399187 20610601 28798374 31852747 41221202 61831803 63705494 95558241 123663606 191116482 350380217 700760434 1051140651 2102281302