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1310434050 = 235227132237
BaseRepresentation
bin100111000011011…
…1010001100000010
310101022210221120110
41032012322030002
510140432342200
6334011052150
744321335302
oct11606721402
93338727513
101310434050
11612784552
12306a41056
1317b64c283
14c6079602
157a0a1b50
hex4e1ba302

1310434050 has 48 divisors (see below), whose sum is σ = 3261969792. Its totient is φ = 348148800.

The previous prime is 1310434033. The next prime is 1310434061. The reversal of 1310434050 is 504340131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532 + ... + 56768.

It is an arithmetic number, because the mean of its divisors is an integer number (67957704).

Almost surely, 21310434050 is an apocalyptic number.

1310434050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310434050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630984896).

1310434050 is an abundant number, since it is smaller than the sum of its proper divisors (1951535742).

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

1310434050 is a wasteful number, since it uses less digits than its factorization.

1310434050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32523 (or 32518 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1310434050 is about 36199.9178175863. The cubic root of 1310434050 is about 1094.3050155110.

Adding to 1310434050 its reverse (504340131), we get a palindrome (1814774181).

The spelling of 1310434050 in words is "one billion, three hundred ten million, four hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 271 542 813 1355 1626 2710 4065 6775 8130 13550 20325 32237 40650 64474 96711 161185 193422 322370 483555 805925 967110 1611850 2417775 4835550 8736227 17472454 26208681 43681135 52417362 87362270 131043405 218405675 262086810 436811350 655217025 1310434050