Search a number
-
+
330031032130230 = 235234141927842473
BaseRepresentation
bin100101100001010010101011…
…0011011110101101010110110
31121021112122210002001220012220
41023002211112123311222312
5321224212023211131410
63125530055121423210
7126341645432006214
oct11302452633655266
91537478702056186
10330031032130230
11961814138232a2
1231022284a9ab06
131121ca3c9b5ab2
145b6d83133dcb4
152824ce7b8d070
hex12c29566f5ab6

330031032130230 has 128 divisors (see below), whose sum is σ = 848692065070080. Its totient is φ = 81932599203840.

The previous prime is 330031032130223. The next prime is 330031032130237. The reversal of 330031032130230 is 32031230130033.

It is an interprime number because it is at equal distance from previous prime (330031032130223) and next prime (330031032130237).

It is a super-2 number, since 2×3300310321302302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 330031032130230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330031032130237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2067727 + ... + 25774746.

It is an arithmetic number, because the mean of its divisors is an integer number (6630406758360).

Almost surely, 2330031032130230 is an apocalyptic number.

330031032130230 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 330031032130230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424346032535040).

330031032130230 is an abundant number, since it is smaller than the sum of its proper divisors (518661032939850).

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

330031032130230 is a wasteful number, since it uses less digits than its factorization.

330031032130230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27842966.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 330031032130230 its reverse (32031230130033), we get a palindrome (362062262260263).

The spelling of 330031032130230 in words is "three hundred thirty trillion, thirty-one billion, thirty-two million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 41 46 69 82 115 123 138 205 230 246 345 410 419 615 690 838 943 1230 1257 1886 2095 2514 2829 4190 4715 5658 6285 9430 9637 12570 14145 17179 19274 28290 28911 34358 48185 51537 57822 85895 96370 103074 144555 171790 257685 289110 395117 515370 790234 1185351 1975585 2370702 3951170 5926755 11853510 27842473 55684946 83527419 139212365 167054838 278424730 417637095 640376879 835274190 1141541393 1280753758 1921130637 2283082786 3201884395 3424624179 3842261274 5707706965 6403768790 6849248358 9605653185 11415413930 11665996187 17123120895 19211306370 23331992374 26255452039 34246241790 34997988561 52510904078 58329980935 69995977122 78766356117 116659961870 131277260195 157532712234 174989942805 262554520390 268317912301 349979885610 393831780585 478305843667 536635824602 787663561170 804953736903 956611687334 1341589561505 1434917531001 1609907473806 2391529218335 2683179123010 2869835062002 4024768684515 4783058436670 7174587655005 8049537369030 11001034404341 14349175310010 22002068808682 33003103213023 55005172021705 66006206426046 110010344043410 165015516065115 330031032130230