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1312104256 = 2697241877
BaseRepresentation
bin100111000110101…
…0001111101000000
310101102221210122221
41032031101331000
510141344314011
6334110540424
744341462561
oct11615217500
93342853587
101312104256
11613715391
12307507714
1317bab5568
14c6392168
157a2d1971
hex4e351f40

1312104256 has 56 divisors (see below), whose sum is σ = 2644476296. Its totient is φ = 645857280.

The previous prime is 1312104247. The next prime is 1312104271. The reversal of 1312104256 is 6524012131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 529000000 + 783104256 = 23000^2 + 27984^2 .

It is a super-2 number, since 2×13121042562 = 3443235157226627072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1312104256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1495690 + ... + 1496566.

It is an arithmetic number, because the mean of its divisors is an integer number (47222791).

Almost surely, 21312104256 is an apocalyptic number.

1312104256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322238148).

1312104256 is an abundant number, since it is smaller than the sum of its proper divisors (1332372040).

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

1312104256 is an equidigital number, since it uses as much as digits as its factorization.

1312104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1312104256 is about 36222.9796676088. The cubic root of 1312104256 is about 1094.7697314706.

Adding to 1312104256 its reverse (6524012131), we get a palindrome (7836116387).

The spelling of 1312104256 in words is "one billion, three hundred twelve million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 194 241 388 482 776 877 964 1552 1754 1928 3104 3508 3856 6208 7016 7712 14032 15424 23377 28064 46754 56128 85069 93508 170138 187016 211357 340276 374032 422714 680552 748064 845428 1361104 1496128 1690856 2722208 3381712 5444416 6763424 13526848 20501629 41003258 82006516 164013032 328026064 656052128 1312104256