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1301331330 = 2325133135879
BaseRepresentation
bin100110110010000…
…1011110110000010
310100200200110222200
41031210023312002
510131120100310
6333044014030
744151063615
oct11544136602
93320613880
101301331330
11608627542
12303991316
131797b2c50
14c4b8a17c
15793a49c0
hex4d90bd82

1301331330 has 96 divisors (see below), whose sum is σ = 3761372160. Its totient is φ = 309985920.

The previous prime is 1301331263. The next prime is 1301331341. The reversal of 1301331330 is 331331031.

1301331330 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 331 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18331 + ... + 54209.

It is an arithmetic number, because the mean of its divisors is an integer number (39180960).

Almost surely, 21301331330 is an apocalyptic number.

1301331330 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 1301331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880686080).

1301331330 is an abundant number, since it is smaller than the sum of its proper divisors (2460040830).

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

1301331330 is a wasteful number, since it uses less digits than its factorization.

1301331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35936 (or 35933 counting only the distinct ones).

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

The square root of 1301331330 is about 36073.9702555735. The cubic root of 1301331330 is about 1091.7653211026.

Adding to 1301331330 its reverse (331331031), we get a palindrome (1632662361).

The spelling of 1301331330 in words is "one billion, three hundred one million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 4030 6045 7254 12090 18135 35879 36270 71758 107637 179395 215274 322911 358790 466427 538185 645822 932854 1076370 1112249 1399281 1614555 2224498 2332135 2798562 3229110 3336747 4197843 4664270 5561245 6673494 6996405 8395686 10010241 11122490 13992810 14459237 16683735 20020482 20989215 28918474 33367470 41978430 43377711 50051205 72296185 86755422 100102410 130133133 144592370 216888555 260266266 433777110 650665665 1301331330