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2130002112 = 26378917807
BaseRepresentation
bin111111011110101…
…0100000011000000
312111102222022121010
41332331110003000
513330240031422
6551205200520
7103532501460
oct17675240300
95442868533
102130002112
119a3370127
124b5400140
1327c393aa4
14162c59ba0
15c6ee1b0c
hex7ef540c0

2130002112 has 112 divisors (see below), whose sum is σ = 6513454080. Its totient is φ = 601700352.

The previous prime is 2130002093. The next prime is 2130002143. The reversal of 2130002112 is 2112000312.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110713 + ... + 128519.

It is an arithmetic number, because the mean of its divisors is an integer number (58155840).

Almost surely, 22130002112 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 2130002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256727040).

2130002112 is an abundant number, since it is smaller than the sum of its proper divisors (4383451968).

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

2130002112 is a wasteful number, since it uses less digits than its factorization.

2130002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17918 (or 17908 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2130002112 is about 46151.9459178050. The cubic root of 2130002112 is about 1286.6487764820.

Adding to 2130002112 its reverse (2112000312), we get a palindrome (4242002424).

The spelling of 2130002112 in words is "two billion, one hundred thirty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 168 178 192 224 267 336 356 448 534 623 672 712 1068 1246 1344 1424 1869 2136 2492 2848 3738 4272 4984 5696 7476 8544 9968 14952 17088 17807 19936 29904 35614 39872 53421 59808 71228 106842 119616 124649 142456 213684 249298 284912 373947 427368 498596 569824 747894 854736 997192 1139648 1495788 1584823 1709472 1994384 2991576 3169646 3418944 3988768 4754469 5983152 6339292 7977536 9508938 11093761 11966304 12678584 19017876 22187522 23932608 25357168 33281283 38035752 44375044 50714336 66562566 76071504 88750088 101428672 133125132 152143008 177500176 266250264 304286016 355000352 532500528 710000704 1065001056 2130002112