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13012314 = 237359863
BaseRepresentation
bin110001101000…
…110101011010
3220111002112120
4301220311122
511312343224
61142522110
7215413530
oct61506532
926432476
1013012314
117388387
124436336
1329079c3
141a2a150
151220779
hexc68d5a

13012314 has 32 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 3703152.

The previous prime is 13012309. The next prime is 13012333. The reversal of 13012314 is 41321031.

13012314 = T69 + T70 + ... + T427.

13012314 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 = 13012293 and 13012302.

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, 14647 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 213012314 is an apocalyptic number.

13012314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13012314 is an abundant number, since it is smaller than the sum of its proper divisors (16847526).

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

13012314 is a wasteful number, since it uses less digits than its factorization.

13012314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13012314 is about 3607.2585158261. The cubic root of 13012314 is about 235.2076872285.

Adding to 13012314 its reverse (41321031), we get a palindrome (54333345).

The spelling of 13012314 in words is "thirteen million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 359 718 863 1077 1726 2154 2513 2589 5026 5178 6041 7539 12082 15078 18123 36246 309817 619634 929451 1858902 2168719 4337438 6506157 13012314