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1330202120232 = 233415923579721
BaseRepresentation
bin10011010110110110001…
…110011001000000101000
311201011111001222010102210
4103112312032121000220
5133243223220321412
62455030355525120
7165050435315136
oct23266616310050
94634431863383
101330202120232
11473154467137
12195975bb97a0
139858c3098bb
144854c7a8756
152490567683c
hex135b6399028

1330202120232 has 128 divisors (see below), whose sum is σ = 3466180771200. Its totient is φ = 425029939200.

The previous prime is 1330202120213. The next prime is 1330202120251. The reversal of 1330202120232 is 2320212020331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1330202120213) and next prime (1330202120251).

It is a super-3 number, since 3×13302021202323 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1330202120199 and 1330202120208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136833132 + ... + 136842852.

It is an arithmetic number, because the mean of its divisors is an integer number (27079537275).

Almost surely, 21330202120232 is an apocalyptic number.

1330202120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330202120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733090385600).

1330202120232 is an abundant number, since it is smaller than the sum of its proper divisors (2135978650968).

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

1330202120232 is a wasteful number, since it uses less digits than its factorization.

1330202120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1330202120232 its reverse (2320212020331), we get a palindrome (3650414140563).

Subtracting 1330202120232 from its reverse (2320212020331), we obtain a palindrome (990009900099).

The spelling of 1330202120232 in words is "one trillion, three hundred thirty billion, two hundred two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 59 82 118 123 164 177 236 246 328 354 472 492 708 984 1416 2357 2419 4714 4838 7071 7257 9428 9676 9721 14142 14514 18856 19352 19442 28284 29028 29163 38884 56568 58056 58326 77768 96637 116652 139063 193274 233304 278126 289911 386548 398561 417189 556252 573539 579822 773096 797122 834378 1112504 1147078 1159644 1195683 1594244 1668756 1720617 2294156 2319288 2391366 3188488 3337512 3441234 4588312 4782732 5701583 6882468 9565464 11403166 13764936 17104749 22806332 22912397 23515099 34209498 45612664 45824794 47030198 68418996 68737191 70545297 91649588 94060396 136837992 137474382 141090594 183299176 188120792 274948764 282181188 549897528 564362376 939408277 1351831423 1878816554 2703662846 2818224831 3757633108 4055494269 5407325692 5636449662 7515266216 8110988538 10814651384 11272899324 16221977076 22545798648 32443954152 55425088343 110850176686 166275265029 221700353372 332550530058 443400706744 665101060116 1330202120232