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332202001132330 = 25721943829820401
BaseRepresentation
bin100101110001000101100111…
…0010001010110101100101010
31121120020012102122020221021221
41023202023032101112230222
5322020244144242213310
63134311254213452254
7126654542163030400
oct11342131621265452
91546205378227257
10332202001132330
119693909417292a
1231312b8204108a
131134968bb7a164
145c0693c425470
15286150a5c2ada
hex12e22ce456b2a

332202001132330 has 96 divisors (see below), whose sum is σ = 749228244557760. Its totient is φ = 105393829363200.

The previous prime is 332202001132291. The next prime is 332202001132409. The reversal of 332202001132330 is 33231100202233.

It is a super-2 number, since 2×3322020011323302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332202001132295 and 332202001132304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414509871 + ... + 415310530.

It is an arithmetic number, because the mean of its divisors is an integer number (7804460880810).

Almost surely, 2332202001132330 is an apocalyptic number.

332202001132330 is an abundant number, since it is smaller than the sum of its proper divisors (417026243425430).

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

332202001132330 is a wasteful number, since it uses less digits than its factorization.

332202001132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829820484 (or 829820477 counting only the distinct ones).

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

Adding to 332202001132330 its reverse (33231100202233), we get a palindrome (365433101334563).

The spelling of 332202001132330 in words is "three hundred thirty-two trillion, two hundred two billion, one million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 43 49 70 86 95 98 133 190 215 245 266 301 430 490 602 665 817 931 1330 1505 1634 1862 2107 3010 4085 4214 4655 5719 8170 9310 10535 11438 21070 28595 40033 57190 80066 200165 400330 829820401 1659640802 4149102005 5808742807 8298204010 11617485614 15766587619 29043714035 31533175238 35682277243 40661199649 58087428070 71364554486 78832938095 81322399298 110366113333 157665876190 178411386215 203305998245 220732226666 249775940701 356822772430 406611996490 499551881402 551830566665 677963267617 772562793331 1103661133330 1248879703505 1355926535234 1545125586662 1748431584907 2497759407010 3389816338085 3496863169814 3862813966655 4745742873319 6779632676170 7725627933310 8742157924535 9491485746638 17484315849070 23728714366595 33220200113233 47457428733190 66440400226466 166101000566165 332202001132330