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1312321014 = 2365231721
BaseRepresentation
bin100111000111000…
…0110110111110110
310101110100211000000
41032032012313312
510141423233024
6334115332130
744343354534
oct11616066766
93343324000
101312321014
11613853224
123075b1046
1317bb60114
14c640b154
157a325cc9
hex4e386df6

1312321014 has 56 divisors (see below), whose sum is σ = 2958733512. Its totient is φ = 436350240.

The previous prime is 1312320979. The next prime is 1312321019. The reversal of 1312321014 is 4101232131.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312321019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 761674 + ... + 763394.

It is an arithmetic number, because the mean of its divisors is an integer number (52834527).

Almost surely, 21312321014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312321014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479366756).

1312321014 is an abundant number, since it is smaller than the sum of its proper divisors (1646412498).

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

1312321014 is an equidigital number, since it uses as much as digits as its factorization.

1312321014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2249 counting only the distinct ones).

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

The square root of 1312321014 is about 36225.9715397669. The cubic root of 1312321014 is about 1094.8300130197.

Adding to 1312321014 its reverse (4101232131), we get a palindrome (5413553145).

The spelling of 1312321014 in words is "one billion, three hundred twelve million, three hundred twenty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 523 729 1046 1458 1569 1721 3138 3442 4707 5163 9414 10326 14121 15489 28242 30978 42363 46467 84726 92934 127089 139401 254178 278802 381267 418203 762534 836406 900083 1254609 1800166 2509218 2700249 5400498 8100747 16201494 24302241 48604482 72906723 145813446 218720169 437440338 656160507 1312321014