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1303232130 = 2325372291709
BaseRepresentation
bin100110110101101…
…1011111010000010
310100211021001101200
41031223123322002
510132111412010
6333152442030
744203201404
oct11553337202
93324231350
101303232130
11609705652
12304549316
13179cca195
14c5122b74
157962ccc0
hex4dadbe82

1303232130 has 96 divisors (see below), whose sum is σ = 3497223600. Its totient is φ = 336462336.

The previous prime is 1303232129. The next prime is 1303232137. The reversal of 1303232130 is 312323031.

1303232130 is a `hidden beast` number, since 1 + 303 + 232 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 962054289 + 341177841 = 31017^2 + 18471^2 .

It is a super-3 number, since 3×13032321303 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1303232137) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 761716 + ... + 763424.

Almost surely, 21303232130 is an apocalyptic number.

1303232130 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 1303232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748611800).

1303232130 is an abundant number, since it is smaller than the sum of its proper divisors (2193991470).

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

1303232130 is a wasteful number, since it uses less digits than its factorization.

1303232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1303232130 is about 36100.3065083941. The cubic root of 1303232130 is about 1092.2966277459.

Adding to 1303232130 its reverse (312323031), we get a palindrome (1615555161).

Subtracting from 1303232130 its reverse (312323031), we obtain a palindrome (990909099).

The spelling of 1303232130 in words is "one billion, three hundred three million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 229 333 370 458 555 666 687 1110 1145 1374 1665 1709 2061 2290 3330 3418 3435 4122 5127 6870 8473 8545 10254 10305 15381 16946 17090 20610 25419 25635 30762 42365 50838 51270 63233 76257 76905 84730 126466 127095 152514 153810 189699 254190 316165 379398 381285 391361 569097 632330 762570 782722 948495 1138194 1174083 1896990 1956805 2348166 2845485 3522249 3913610 5690970 5870415 7044498 11740830 14480357 17611245 28960714 35222490 43441071 72401785 86882142 130323213 144803570 217205355 260646426 434410710 651616065 1303232130