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330213203031220 = 225173529275209777
BaseRepresentation
bin100101100010100111100000…
…0101010101011010010110100
31121022012001222212202111202221
41023011033000222223102310
5321240203114433444340
63130145503512212124
7126361055001061555
oct11305170052532264
91538161885674687
10330213203031220
11962416a651a523
123105164569a044
1311233c82310b32
145b785935a032c
15282990ac6644a
hex12c53c0aab4b4

330213203031220 has 48 divisors (see below), whose sum is σ = 734446830353040. Its totient is φ = 124280331485184.

The previous prime is 330213203031193. The next prime is 330213203031221. The reversal of 330213203031220 is 22130302312033.

It can be written as a sum of positive squares in 8 ways, for example, as 50676003589264 + 279537199441956 = 7118708^2 + 16719366^2 .

It is a super-2 number, since 2×3302132030312202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330213203031221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136405029 + ... + 138804748.

It is an arithmetic number, because the mean of its divisors is an integer number (15300975632355).

Almost surely, 2330213203031220 is an apocalyptic number.

It is an amenable number.

330213203031220 is an abundant number, since it is smaller than the sum of its proper divisors (404233627321820).

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

330213203031220 is a wasteful number, since it uses less digits than its factorization.

330213203031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275213332 (or 275213330 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 330213203031220 its reverse (22130302312033), we get a palindrome (352343505343253).

The spelling of 330213203031220 in words is "three hundred thirty trillion, two hundred thirteen billion, two hundred three million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3529 7058 14116 17645 35290 59993 70580 119986 239972 299965 599930 1199860 275209777 550419554 1100839108 1376048885 2752097770 4678566209 5504195540 9357132418 18714264836 23392831045 46785662090 93571324180 971215303033 1942430606066 3884861212132 4856076515165 9712153030330 16510660151561 19424306060660 33021320303122 66042640606244 82553300757805 165106601515610 330213203031220