Search a number
-
+
1312928100348 = 223433288777369
BaseRepresentation
bin10011000110110000100…
…111001110111111111100
311122111220012211222220120
4103012300213032333330
5133002334043202343
62443052325414540
7163566403501134
oct23066047167774
94574805758816
101312928100348
1146689a759347
12192554b6a450
1396a68613a67
1447790559ac4
1524243dc3683
hex131b09ceffc

1312928100348 has 48 divisors (see below), whose sum is σ = 3134878897920. Its totient is φ = 427446440064.

The previous prime is 1312928100347. The next prime is 1312928100349. The reversal of 1312928100348 is 8430018292131.

It is an interprime number because it is at equal distance from previous prime (1312928100347) and next prime (1312928100349).

It is a super-2 number, since 2×13129281003482 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312928100347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16931008 + ... + 17008376.

It is an arithmetic number, because the mean of its divisors is an integer number (65309977040).

Almost surely, 21312928100348 is an apocalyptic number.

It is an amenable number.

1312928100348 is an abundant number, since it is smaller than the sum of its proper divisors (1821950797572).

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

1312928100348 is a wasteful number, since it uses less digits than its factorization.

1312928100348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110306 (or 110304 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1312928100348 in words is "one trillion, three hundred twelve billion, nine hundred twenty-eight million, one hundred thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 32887 65774 77369 98661 131548 154738 197322 232107 309476 394644 464214 928428 1414141 2828282 3326867 4242423 5656564 6653734 8484846 9980601 13307468 16969692 19961202 39922404 2544434303 5088868606 7633302909 10177737212 15266605818 30533211636 109410675029 218821350058 328232025087 437642700116 656464050174 1312928100348