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330134134212 = 223519104917041
BaseRepresentation
bin1001100110111011000…
…01110001110111000100
31011120010121121122200000
410303131201301313010
520402103314243322
6411354520121300
732565013561131
oct4633541616704
91146117548600
10330134134212
11118011126353
1253b95306230
1325192c2915c
1411d9b305588
1588c2e813ac
hex4cdd871dc4

330134134212 has 144 divisors (see below), whose sum is σ = 911883336000. Its totient is φ = 104147389440.

The previous prime is 330134134199. The next prime is 330134134217. The reversal of 330134134212 is 212431431033.

It is a happy number.

330134134212 is a `hidden beast` number, since 3 + 30 + 1 + 3 + 413 + 4 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (330134134217) 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, 19364412 + ... + 19381452.

Almost surely, 2330134134212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330134134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455941668000).

330134134212 is an abundant number, since it is smaller than the sum of its proper divisors (581749201788).

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

330134134212 is a wasteful number, since it uses less digits than its factorization.

330134134212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18128 (or 18114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 330134134212 its reverse (212431431033), we get a palindrome (542565565245).

The spelling of 330134134212 in words is "three hundred thirty billion, one hundred thirty-four million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1049 1539 2052 2098 3078 3147 4196 4617 6156 6294 9234 9441 12588 17041 18468 18882 19931 28323 34082 37764 39862 51123 56646 59793 68164 79724 84969 102246 113292 119586 153369 169938 179379 204492 239172 254907 306738 323779 339876 358758 460107 509814 538137 613476 647558 717516 920214 971337 1019628 1076274 1295116 1380321 1614411 1840428 1942674 2152548 2760642 2914011 3228822 3885348 4140963 4843233 5521284 5828022 6457644 8281926 8742033 9686466 11656044 16563852 17484066 17876009 19372932 26226099 34968132 35752018 52452198 53628027 71504036 78678297 104904396 107256054 157356594 160884081 214512108 314713188 321768162 339644171 482652243 643536324 679288342 965304486 1018932513 1358576684 1447956729 1930608972 2037865026 2895913458 3056797539 4075730052 4343870187 5791826916 6113595078 8687740374 9170392617 12227190156 17375480748 18340785234 27511177851 36681570468 55022355702 82533533553 110044711404 165067067106 330134134212