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330241412031030 = 232517892425214159
BaseRepresentation
bin100101100010110100101001…
…0000011011110001000110110
31121022021202210210222011202200
41023011221102003132020312
5321241133402434443110
63130210451005045330
7126363104022445533
oct11305512203361066
91538252723864680
10330241412031030
1196252661796605
1231056bb8856846
13112368296173b6
145b79aabbd5d8a
15282a50c5136c0
hex12c5a520de236

330241412031030 has 96 divisors (see below), whose sum is σ = 919350183772800. Its totient is φ = 81952836827136.

The previous prime is 330241412031023. The next prime is 330241412031031. The reversal of 330241412031030 is 30130214142033.

It is a happy number.

330241412031030 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 414 + 1 + 203 + 10 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330241412030985 and 330241412031003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330241412031031) 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, 1212470910 + ... + 1212743249.

It is an arithmetic number, because the mean of its divisors is an integer number (9576564414300).

Almost surely, 2330241412031030 is an apocalyptic number.

330241412031030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330241412031030 is an abundant number, since it is smaller than the sum of its proper divisors (589108771741770).

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

330241412031030 is a wasteful number, since it uses less digits than its factorization.

330241412031030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425214278 (or 2425214275 counting only the distinct ones).

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

Adding to 330241412031030 its reverse (30130214142033), we get a palindrome (360371626173063).

The spelling of 330241412031030 in words is "three hundred thirty trillion, two hundred forty-one billion, four hundred twelve million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 89 90 102 153 170 178 255 267 306 445 510 534 765 801 890 1335 1513 1530 1602 2670 3026 4005 4539 7565 8010 9078 13617 15130 22695 27234 45390 68085 136170 2425214159 4850428318 7275642477 12126070795 14551284954 21826927431 24252141590 36378212385 41228640703 43653854862 72756424770 82457281406 109134637155 123685922109 206143203515 215844060151 218269274310 247371844218 371057766327 412286407030 431688120302 618429610545 647532180453 742115532654 1079220300755 1236859221090 1295064360906 1855288831635 1942596541359 2158440601510 3237660902265 3669349022567 3710577663270 3885193082718 6475321804530 7338698045134 9712982706795 11008047067701 18346745112835 19425965413590 22016094135402 33024141203103 36693490225670 55040235338505 66048282406206 110080470677010 165120706015515 330241412031030