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330540030135 = 32574342735711
BaseRepresentation
bin1001100111101011011…
…10001001100010110111
31011121011220101022012100
410303311232021202313
520403421221431020
6411503055553143
732611042620150
oct4636556114267
91147156338170
10330540030135
111181aa258a27
125408922b7b3
1325229053263
1411dd91a2927
1588e890ba90
hex4cf5b898b7

330540030135 has 96 divisors (see below), whose sum is σ = 670285744128. Its totient is φ = 147529589760.

The previous prime is 330540030131. The next prime is 330540030137. The reversal of 330540030135 is 531030045033.

It is a happy number.

It is not a de Polignac number, because 330540030135 - 22 = 330540030131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330540030099 and 330540030108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330540030131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57874930 + ... + 57880640.

It is an arithmetic number, because the mean of its divisors is an integer number (6982143168).

Almost surely, 2330540030135 is an apocalyptic number.

330540030135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

330540030135 is an abundant number, since it is smaller than the sum of its proper divisors (339745713993).

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

330540030135 is a wasteful number, since it uses less digits than its factorization.

330540030135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 330540030135 its reverse (531030045033), we get a palindrome (861570075168).

The spelling of 330540030135 in words is "three hundred thirty billion, five hundred forty million, thirty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 63 105 129 215 301 315 387 645 903 1505 1935 2709 4273 4515 5711 12819 13545 17133 21365 28555 29911 38457 39977 51399 64095 85665 89733 119931 149555 183739 192285 199885 245573 256995 269199 359793 448665 551217 599655 736719 918695 1227865 1286173 1345995 1653651 1719011 1798965 2210157 2756085 3683595 3858519 5157033 6430865 8268255 8595055 11050785 11575557 15471099 19292595 24403103 25785165 57877785 73209309 77355495 122015515 170821721 219627927 366046545 512465163 854108605 1049333429 1098139635 1537395489 2562325815 3148000287 5246667145 7345334003 7686977445 9444000861 15740001435 22036002009 36726670015 47220004305 66108006027 110180010045 330540030135