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1301316660 = 2232576116931
BaseRepresentation
bin100110110010000…
…1000010000110100
310100200122201212100
41031210020100310
510131114113120
6333043422100
744151003060
oct11544102064
93320581770
101301316660
11608617516
12303984930
131797a9377
14c4b84aa0
15793a0490
hex4d908434

1301316660 has 144 divisors (see below), whose sum is σ = 4585456512. Its totient is φ = 292550400.

The previous prime is 1301316659. The next prime is 1301316661. The reversal of 1301316660 is 666131031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1301316659) and next prime (1301316661).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301316661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68395 + ... + 85325.

It is an arithmetic number, because the mean of its divisors is an integer number (31843448).

Almost surely, 21301316660 is an apocalyptic number.

1301316660 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 1301316660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292728256).

1301316660 is an abundant number, since it is smaller than the sum of its proper divisors (3284139852).

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

1301316660 is a wasteful number, since it uses less digits than its factorization.

1301316660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17014 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1301316660 is about 36073.7669227931. The cubic root of 1301316660 is about 1091.7612185713.

Adding to 1301316660 its reverse (666131031), we get a palindrome (1967447691).

The spelling of 1301316660 in words is "one billion, three hundred one million, three hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1830 2135 2196 2562 2745 3660 3843 4270 5124 5490 6405 7686 8540 10980 12810 15372 16931 19215 25620 33862 38430 50793 67724 76860 84655 101586 118517 152379 169310 203172 237034 253965 304758 338620 355551 474068 507930 592585 609516 711102 761895 1015860 1032791 1066653 1185170 1422204 1523790 1777755 2065582 2133306 2370340 3047580 3098373 3555510 4131164 4266612 5163955 5333265 6196746 7111020 7229537 9295119 10327910 10666530 12393492 14459074 15491865 18590238 20655820 21333060 21688611 28918148 30983730 36147685 37180476 43377222 46475595 61967460 65065833 72295370 86754444 92951190 108443055 130131666 144590740 185902380 216886110 260263332 325329165 433772220 650658330 1301316660