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1301131320 = 233511819181
BaseRepresentation
bin100110110001101…
…1011000000111000
310100200022022121220
41031203123000320
510131042200240
6333035432040
744146301526
oct11543330070
93320268556
101301131320
11608500245
123038b5620
13179742bb8
14c4b37316
15793655d0
hex4d8db038

1301131320 has 64 divisors (see below), whose sum is σ = 3907124640. Its totient is φ = 346636800.

The previous prime is 1301131319. The next prime is 1301131327. The reversal of 1301131320 is 231311031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301131320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301131327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137130 + ... + 146310.

Almost surely, 21301131320 is an apocalyptic number.

1301131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301131320 is an abundant number, since it is smaller than the sum of its proper divisors (2605993320).

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

1301131320 is a wasteful number, since it uses less digits than its factorization.

1301131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1301131320 is about 36071.1979285413. The cubic root of 1301131320 is about 1091.7093847537.

Adding to 1301131320 its reverse (231311031), we get a palindrome (1532442351).

The spelling of 1301131320 in words is "one billion, three hundred one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1181 2362 3543 4724 5905 7086 9181 9448 11810 14172 17715 18362 23620 27543 28344 35430 36724 45905 47240 55086 70860 73448 91810 110172 137715 141720 183620 220344 275430 367240 550860 1101720 10842761 21685522 32528283 43371044 54213805 65056566 86742088 108427610 130113132 162641415 216855220 260226264 325282830 433710440 650565660 1301131320