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1313141312 = 26710926891
BaseRepresentation
bin100111001000100…
…1111001001000000
310101111220111020102
41032101033021000
510142131010222
6334145101532
744353342220
oct11621171100
93344814212
101313141312
1161426355a
123079278a8
1317c0895c2
14c6582080
157a438d92
hex4e44f240

1313141312 has 56 divisors (see below), whose sum is σ = 3005449920. Its totient is φ = 557591040.

The previous prime is 1313141311. The next prime is 1313141339. The reversal of 1313141312 is 2131413131.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1313141311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35387 + ... + 62277.

Almost surely, 21313141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502724960).

1313141312 is an abundant number, since it is smaller than the sum of its proper divisors (1692308608).

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

1313141312 is a wasteful number, since it uses less digits than its factorization.

1313141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27019 (or 27009 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

The square root of 1313141312 is about 36237.2917310331. The cubic root of 1313141312 is about 1095.0580821689.

Adding to 1313141312 its reverse (2131413131), we get a palindrome (3444554443).

It can be divided in two parts, 1 and 313141312, that added together give a palindrome (313141313).

The spelling of 1313141312 in words is "one billion, three hundred thirteen million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 26891 48832 53782 107564 188237 215128 376474 430256 752948 860512 1505896 1721024 2931119 3011792 5862238 6023584 11724476 12047168 20517833 23448952 41035666 46897904 82071332 93795808 164142664 187591616 328285328 656570656 1313141312