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2130110312 = 2311472412137
BaseRepresentation
bin111111011110110…
…1110011101101000
312111110011211000112
41332331232131220
513330302012222
6551211353452
7103533432101
oct17675563550
95443154015
102130110312
119a3434450
124b5452888
1327c401105
14162c873a8
15c7013be2
hex7ef6e768

2130110312 has 64 divisors (see below), whose sum is σ = 4470301440. Its totient is φ = 943257600.

The previous prime is 2130110309. The next prime is 2130110317.

2130110312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2130110317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 995708 + ... + 997844.

It is an arithmetic number, because the mean of its divisors is an integer number (69848460).

Almost surely, 22130110312 is an apocalyptic number.

2130110312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235150720).

2130110312 is an abundant number, since it is smaller than the sum of its proper divisors (2340191128).

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

2130110312 is a wasteful number, since it uses less digits than its factorization.

2130110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2130110312 is about 46153.1181178477. The cubic root of 2130110312 is about 1286.6705625387.

It can be divided in two parts, 21301 and 10312, that added together give a palindrome (31613).

The spelling of 2130110312 in words is "two billion, one hundred thirty million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 241 376 482 517 964 1034 1928 2068 2137 2651 4136 4274 5302 8548 10604 11327 17096 21208 22654 23507 45308 47014 90616 94028 100439 124597 188056 200878 249194 401756 498388 515017 803512 996776 1030034 1104829 2060068 2209658 4120136 4419316 5665187 8838632 11330374 22660748 24205799 45321496 48411598 96823196 193646392 266263789 532527578 1065055156 2130110312