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1301133330 = 232572717621
BaseRepresentation
bin100110110001101…
…1011100000010010
310100200022102101100
41031203123200102
510131042231310
6333035445230
744146310430
oct11543334022
93320272340
101301133330
11608501802
123038b6816
13179743aa3
14c4b37d50
1579365ec0
hex4d8db812

1301133330 has 96 divisors (see below), whose sum is σ = 3881000448. Its totient is φ = 296265600.

The previous prime is 1301133329. The next prime is 1301133331. The reversal of 1301133330 is 333311031.

1301133330 is a `hidden beast` number, since 1 + 301 + 1 + 33 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1301133329) and next prime (1301133331).

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

It is not an unprimeable number, because it can be changed into a prime (1301133331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166920 + ... + 174540.

It is an arithmetic number, because the mean of its divisors is an integer number (40427088).

Almost surely, 21301133330 is an apocalyptic number.

1301133330 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 1301133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940500224).

1301133330 is an abundant number, since it is smaller than the sum of its proper divisors (2579867118).

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

1301133330 is a wasteful number, since it uses less digits than its factorization.

1301133330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 1301133330 is about 36071.2257900948. The cubic root of 1301133330 is about 1091.7099469144.

Adding to 1301133330 its reverse (333311031), we get a palindrome (1634444361).

The spelling of 1301133330 in words is "one billion, three hundred one million, one hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 271 315 542 630 813 1355 1626 1897 2439 2710 3794 4065 4878 5691 7621 8130 9485 11382 12195 15242 17073 18970 22863 24390 28455 34146 38105 45726 53347 56910 68589 76210 85365 106694 114315 137178 160041 170730 228630 266735 320082 342945 480123 533470 685890 800205 960246 1600410 2065291 2400615 4130582 4801230 6195873 10326455 12391746 14457037 18587619 20652910 28914074 30979365 37175238 43371111 61958730 72285185 86742222 92938095 130113333 144570370 185876190 216855555 260226666 433711110 650566665 1301133330