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2314134100 = 2252221310457
BaseRepresentation
bin1000100111101110…
…1110001001010100
312222021110012012101
42021323232021110
514214404242400
61021343531444
7111226546435
oct21173561124
95867405171
102314134100
11a882a5223
12546bb9b84
132ab583625
1417d4ab48c
15d826456a
hex89eee254

2314134100 has 36 divisors (see below), whose sum is σ = 5024420604. Its totient is φ = 925146880.

The previous prime is 2314134079. The next prime is 2314134103. The reversal of 2314134100 is 14314132.

2314134100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 426752964 + 1887381136 = 20658^2 + 43444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314134103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216072 + ... + 226528.

It is an arithmetic number, because the mean of its divisors is an integer number (139567239).

Almost surely, 22314134100 is an apocalyptic number.

2314134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314134100 is an abundant number, since it is smaller than the sum of its proper divisors (2710286504).

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

2314134100 is a wasteful number, since it uses less digits than its factorization.

2314134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12684 (or 12677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2314134100 is about 48105.4477164489. The cubic root of 2314134100 is about 1322.7045291714.

Adding to 2314134100 its reverse (14314132), we get a palindrome (2328448232).

The spelling of 2314134100 in words is "two billion, three hundred fourteen million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2213 4426 8852 10457 11065 20914 22130 41828 44260 52285 55325 104570 110650 209140 221300 261425 522850 1045700 23141341 46282682 92565364 115706705 231413410 462826820 578533525 1157067050 2314134100