Search a number
-
+
2314102120 = 235115259323
BaseRepresentation
bin1000100111101110…
…0110010101101000
312222021101120022221
42021323212111220
514214402231440
61021343123424
7111226354261
oct21173462550
95867346287
102314102120
11a882831a0
12546ba3574
132ab571bc5
1417d49d968
15d8259d4a
hex89ee6568

2314102120 has 32 divisors (see below), whose sum is σ = 5680069920. Its totient is φ = 841491520.

The previous prime is 2314102097. The next prime is 2314102129. The reversal of 2314102120 is 212014132.

2314102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2314102094 and 2314102103.

It is not an unprimeable number, because it can be changed into a prime (2314102129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2629222 + ... + 2630101.

It is an arithmetic number, because the mean of its divisors is an integer number (177502185).

Almost surely, 22314102120 is an apocalyptic number.

2314102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314102120 is an abundant number, since it is smaller than the sum of its proper divisors (3365967800).

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

2314102120 is a wasteful number, since it uses less digits than its factorization.

2314102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259345 (or 5259341 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2314102120 is about 48105.1153205145. The cubic root of 2314102120 is about 1322.6984361385.

Adding to 2314102120 its reverse (212014132), we get a palindrome (2526116252).

The spelling of 2314102120 in words is "two billion, three hundred fourteen million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5259323 10518646 21037292 26296615 42074584 52593230 57852553 105186460 115705106 210372920 231410212 289262765 462820424 578525530 1157051060 2314102120