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1312203140 = 2251719319997
BaseRepresentation
bin100111000110110…
…1010000110000100
310101110010211022022
41032031222012010
510141411000030
6334113022312
744342354063
oct11615520604
93343124268
101312203140
11613782706
12307554998
1317bb1b581
14c63ba1da
157a300de5
hex4e36a184

1312203140 has 48 divisors (see below), whose sum is σ = 2932986672. Its totient is φ = 491421696.

The previous prime is 1312203131. The next prime is 1312203143. The reversal of 1312203140 is 413022131.

It can be written as a sum of positive squares in 8 ways, for example, as 28987456 + 1283215684 = 5384^2 + 35822^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1312203143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55622 + ... + 75618.

It is an arithmetic number, because the mean of its divisors is an integer number (61103889).

Almost surely, 21312203140 is an apocalyptic number.

1312203140 is a gapful number since it is divisible by the number (10) 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 1312203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466493336).

1312203140 is an abundant number, since it is smaller than the sum of its proper divisors (1620783532).

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

1312203140 is a wasteful number, since it uses less digits than its factorization.

1312203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20216 (or 20214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1312203140 is about 36224.3445765413. The cubic root of 1312203140 is about 1094.7972324588.

Adding to 1312203140 its reverse (413022131), we get a palindrome (1725225271).

The spelling of 1312203140 in words is "one billion, three hundred twelve million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 6562 13124 16405 19997 32810 39994 65620 79988 99985 199970 339949 399940 679898 1359796 1699745 3399490 3859421 6798980 7718842 15437684 19297105 38594210 65610157 77188420 131220314 262440628 328050785 656101570 1312203140