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2112130314 = 232728359233
BaseRepresentation
bin111110111100100…
…1000110100001010
312110012100100002200
41331321020310022
513311201132224
6545330141030
7103224545220
oct17571106412
95405310080
102112130314
11994273848
124ab421776
13278777268
14160726b10
15c56615c9
hex7de48d0a

2112130314 has 48 divisors (see below), whose sum is σ = 5248606272. Its totient is φ = 601323264.

The previous prime is 2112130301. The next prime is 2112130327. The reversal of 2112130314 is 4130312112.

2112130314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2112130301) and next prime (2112130327).

It is a super-2 number, since 2×21121303142 = 8922188926635477192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6042 + ... + 65274.

It is an arithmetic number, because the mean of its divisors is an integer number (109345964).

Almost surely, 22112130314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112130314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624303136).

2112130314 is an abundant number, since it is smaller than the sum of its proper divisors (3136475958).

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

2112130314 is a wasteful number, since it uses less digits than its factorization.

2112130314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59531 (or 59528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2112130314 is about 45957.9189476634. The cubic root of 2112130314 is about 1283.0401195004.

Adding to 2112130314 its reverse (4130312112), we get a palindrome (6242442426).

The spelling of 2112130314 in words is "two billion, one hundred twelve million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 566 849 1698 1981 2547 3962 5094 5943 11886 17829 35658 59233 118466 177699 355398 414631 533097 829262 1066194 1243893 2487786 3731679 7463358 16762939 33525878 50288817 100577634 117340573 150866451 234681146 301732902 352021719 704043438 1056065157 2112130314