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1312742310 = 235112361637
BaseRepresentation
bin100111000111110…
…1101101110100110
310101111011012220120
41032033231232212
510142030223220
6334132342410
744350061025
oct11617555646
93344135816
101312742310
11614010800
12307774a06
1317bc79ac9
14c64ba8bc
157a3aaa40
hex4e3edba6

1312742310 has 48 divisors (see below), whose sum is σ = 3463045488. Its totient is φ = 318239680.

The previous prime is 1312742303. The next prime is 1312742311. The reversal of 1312742310 is 132472131.

It is a happy number.

It is a super-2 number, since 2×13127423102 = 3446584744928272200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312742311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177189 + ... + 184448.

It is an arithmetic number, because the mean of its divisors is an integer number (72146781).

Almost surely, 21312742310 is an apocalyptic number.

1312742310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312742310 is an abundant number, since it is smaller than the sum of its proper divisors (2150303178).

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

1312742310 is a wasteful number, since it uses less digits than its factorization.

1312742310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361669 (or 361658 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1312742310 is about 36231.7859068526. The cubic root of 1312742310 is about 1094.9471586853.

The spelling of 1312742310 in words is "one billion, three hundred twelve million, seven hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 361637 723274 1084911 1808185 2169822 3616370 3978007 5424555 7956014 10849110 11934021 19890035 23868042 39780070 43758077 59670105 87516154 119340210 131274231 218790385 262548462 437580770 656371155 1312742310