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1312140630 = 235419111171
BaseRepresentation
bin100111000110101…
…1010110101010110
310101110000122120010
41032031122311112
510141402000010
6334111421050
744342003613
oct11615326526
93343018503
101312140630
1161373a749
12307524786
1317bac8c98
14c63a150a
157a2dc620
hex4e35ad56

1312140630 has 64 divisors (see below), whose sum is σ = 3232244736. Its totient is φ = 340704000.

The previous prime is 1312140629. The next prime is 1312140659. The reversal of 1312140630 is 360412131.

It is a junction number, because it is equal to n+sod(n) for n = 1312140597 and 1312140606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119945 + ... + 1121115.

It is an arithmetic number, because the mean of its divisors is an integer number (50503824).

Almost surely, 21312140630 is an apocalyptic number.

1312140630 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 1312140630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616122368).

1312140630 is an abundant number, since it is smaller than the sum of its proper divisors (1920104106).

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

1312140630 is a wasteful number, since it uses less digits than its factorization.

1312140630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1312140630 is about 36223.4817487221. The cubic root of 1312140630 is about 1094.7798477364.

Adding to 1312140630 its reverse (360412131), we get a palindrome (1672552761).

The spelling of 1312140630 in words is "one billion, three hundred twelve million, one hundred forty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 911 1171 1230 1822 2342 2733 3513 4555 5466 5855 7026 9110 11710 13665 17565 27330 35130 37351 48011 74702 96022 112053 144033 186755 224106 240055 288066 373510 480110 560265 720165 1066781 1120530 1440330 2133562 3200343 5333905 6400686 10667810 16001715 32003430 43738021 87476042 131214063 218690105 262428126 437380210 656070315 1312140630