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1321312014 = 23511222469
BaseRepresentation
bin100111011000001…
…1001111100001110
310102002021121100000
41032300121330032
510201223441024
6335040145130
744512652421
oct11660317416
93362247300
101321312014
11618934300
1230a6081a6
1318098a639
14c76ab9b8
157aeeecc9
hex4ec19f0e

1321312014 has 72 divisors (see below), whose sum is σ = 3263452920. Its totient is φ = 400379760.

The previous prime is 1321312009. The next prime is 1321312049. The reversal of 1321312014 is 4102131231.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47572 + ... + 70040.

It is an arithmetic number, because the mean of its divisors is an integer number (45325735).

Almost surely, 21321312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631726460).

1321312014 is an abundant number, since it is smaller than the sum of its proper divisors (1942140906).

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

1321312014 is a wasteful number, since it uses less digits than its factorization.

1321312014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22508 (or 22485 counting only the distinct ones).

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

The square root of 1321312014 is about 36349.8557631251. The cubic root of 1321312014 is about 1097.3246317036.

Adding to 1321312014 its reverse (4102131231), we get a palindrome (5423443245).

The spelling of 1321312014 in words is "one billion, three hundred twenty-one million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 891 1089 1782 2178 2673 3267 5346 6534 9801 19602 22469 29403 44938 58806 67407 134814 202221 247159 404442 494318 606663 741477 1213326 1482954 1819989 2224431 2718749 3639978 4448862 5437498 5459967 6673293 8156247 10919934 13346586 16312494 20019879 24468741 40039758 48937482 60059637 73406223 120119274 146812446 220218669 440437338 660656007 1321312014