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2130111306 = 2322936711119
BaseRepresentation
bin111111011110110…
…1110101101001010
312111110011212101100
41332331232231022
513330302030211
6551211402230
7103533435021
oct17675565512
95443155340
102130111306
119a3435174
124b5453376
1327c4016bb
14162c878b8
15c7014156
hex7ef6eb4a

2130111306 has 48 divisors (see below), whose sum is σ = 4787827200. Its totient is φ = 683623584.

The previous prime is 2130111293. The next prime is 2130111307. The reversal of 2130111306 is 6031110312.

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 (2130111307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186015 + ... + 197133.

It is an arithmetic number, because the mean of its divisors is an integer number (99746400).

Almost surely, 22130111306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130111306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393913600).

2130111306 is an abundant number, since it is smaller than the sum of its proper divisors (2657715894).

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

2130111306 is a wasteful number, since it uses less digits than its factorization.

2130111306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11523 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2130111306 is about 46153.1288863496. The cubic root of 2130111306 is about 1286.6707626771.

Adding to 2130111306 its reverse (6031110312), we get a palindrome (8161221618).

The spelling of 2130111306 in words is "two billion, one hundred thirty million, one hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 367 522 734 1101 2202 3303 6606 10643 11119 21286 22238 31929 33357 63858 66714 95787 100071 191574 200142 322451 644902 967353 1934706 2902059 4080673 5804118 8161346 12242019 24484038 36726057 73452114 118339517 236679034 355018551 710037102 1065055653 2130111306