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2313001314 = 2321329340849
BaseRepresentation
bin1000100111011101…
…1001100101100010
312222012022122022100
42021313121211202
514214112020224
61021303351230
7111214121031
oct21167314542
95865278270
102313001314
11a876a1138
12546752516
132ab277b40
1417d294718
15d80ddac9
hex89dd9962

2313001314 has 48 divisors (see below), whose sum is σ = 5583123000. Its totient is φ = 687149568.

The previous prime is 2313001297. The next prime is 2313001319. The reversal of 2313001314 is 4131003132.

2313001314 is a `hidden beast` number, since 231 + 300 + 131 + 4 = 666.

2313001314 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 4 ways, for example, as 1934504289 + 378497025 = 43983^2 + 19455^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2313001319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163639 + ... + 177210.

Almost surely, 22313001314 is an apocalyptic number.

2313001314 is an abundant number, since it is smaller than the sum of its proper divisors (3270121686).

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

2313001314 is a wasteful number, since it uses less digits than its factorization.

2313001314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340899 (or 340896 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2313001314 is about 48093.6722864869. The cubic root of 2313001314 is about 1322.4886693497.

Adding to 2313001314 its reverse (4131003132), we get a palindrome (6444004446).

The spelling of 2313001314 in words is "two billion, three hundred thirteen million, one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 340849 681698 1022547 2045094 3067641 4431037 6135282 8862074 9884621 13293111 19769242 26586222 29653863 39879333 59307726 79758666 88961589 128500073 177923178 257000146 385500219 771000438 1156500657 2313001314