Search a number
-
+
330130010232 = 233311212631237
BaseRepresentation
bin1001100110111010100…
…10000011000001111000
31011120010022212010122000
410303131102003001320
520402101240311412
6411354251501000
732564633533641
oct4633522030170
91146108763560
10330130010232
11118009869a00
1253b93a57760
1325192114029
1411d9a9506c8
1588c29194dc
hex4cdd483078

330130010232 has 96 divisors (see below), whose sum is σ = 1007972792400. Its totient is φ = 100039389120.

The previous prime is 330130010219. The next prime is 330130010251. The reversal of 330130010232 is 232010031033.

330130010232 is a `hidden beast` number, since 330 + 1 + 300 + 1 + 0 + 2 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6289483 + ... + 6341754.

Almost surely, 2330130010232 is an apocalyptic number.

It is an amenable number.

330130010232 is an abundant number, since it is smaller than the sum of its proper divisors (677842782168).

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

330130010232 is a wasteful number, since it uses less digits than its factorization.

330130010232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631274 (or 12631253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330130010232 its reverse (232010031033), we get a palindrome (562140041265).

The spelling of 330130010232 in words is "three hundred thirty billion, one hundred thirty million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1089 1188 1452 2178 2376 2904 3267 4356 6534 8712 13068 26136 12631237 25262474 37893711 50524948 75787422 101049896 113681133 138943607 151574844 227362266 277887214 303149688 341043399 416830821 454724532 555774428 682086798 833661642 909449064 1111548856 1250492463 1364173596 1528379677 1667323284 2500984926 2728347192 3056759354 3334646568 3751477389 4585139031 5001969852 6113518708 7502954778 9170278062 10003939704 12227037416 13755417093 15005909556 18340556124 27510834186 30011819112 36681112248 41266251279 55021668372 82532502558 110043336744 165065005116 330130010232