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330515130 = 235112831097
BaseRepresentation
bin10011101100110…
…100001010111010
3212000220220112010
4103230310022322
51134102441010
652444030350
711122221651
oct2354641272
9760826463
10330515130
1115a626a00
12928323b6
13536233aa
1431c78198
151e03a620
hex13b342ba

330515130 has 96 divisors (see below), whose sum is σ = 883213632. Its totient is φ = 79087360.

The previous prime is 330515113. The next prime is 330515131. The reversal of 330515130 is 31515033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 330515097 and 330515106.

It is not an unprimeable number, because it can be changed into a prime (330515131) 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, 300742 + ... + 301838.

It is an arithmetic number, because the mean of its divisors is an integer number (9200142).

Almost surely, 2330515130 is an apocalyptic number.

330515130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330515130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441606816).

330515130 is an abundant number, since it is smaller than the sum of its proper divisors (552698502).

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

330515130 is a wasteful number, since it uses less digits than its factorization.

330515130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 330515130 is about 18180.0750823532. The cubic root of 330515130 is about 691.4017084211.

The spelling of 330515130 in words is "three hundred thirty million, five hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 121 165 166 242 249 330 363 415 498 605 726 830 913 1097 1210 1245 1815 1826 2194 2490 2739 3291 3630 4565 5478 5485 6582 9130 10043 10970 12067 13695 16455 20086 24134 27390 30129 32910 36201 50215 60258 60335 72402 91051 100430 120670 132737 150645 181005 182102 265474 273153 301290 362010 398211 455255 546306 663685 796422 910510 1001561 1327370 1365765 1991055 2003122 2731530 3004683 3982110 5007805 6009366 10015610 11017171 15023415 22034342 30046830 33051513 55085855 66103026 110171710 165257565 330515130