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1332133131300 = 2235279281200029
BaseRepresentation
bin10011011000101001010…
…100100111010000100100
311201100110122111122122020
4103120221110213100210
5133311202040200200
62455550140103140
7165146333534046
oct23305124472044
94640418448566
101332133131300
11473a55473354
12196214834ab0
13988093aa6ba
1448693025a96
15249b9e5cea0
hex13629527424

1332133131300 has 144 divisors (see below), whose sum is σ = 3917003462400. Its totient is φ = 349488921600.

The previous prime is 1332133131281. The next prime is 1332133131313. The reversal of 1332133131300 is 31313312331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6559686 + ... + 6759714.

Almost surely, 21332133131300 is an apocalyptic number.

1332133131300 is a gapful number since it is divisible by the number (10) 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 1332133131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958501731200).

1332133131300 is an abundant number, since it is smaller than the sum of its proper divisors (2584870331100).

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

1332133131300 is a wasteful number, since it uses less digits than its factorization.

1332133131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200406 (or 200399 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1332133131300 its reverse (31313312331), we get a palindrome (1363446443631).

The spelling of 1332133131300 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 281 300 316 395 474 562 790 843 948 1124 1185 1405 1580 1686 1975 2370 2810 3372 3950 4215 4740 5620 5925 7025 7900 8430 11850 14050 16860 21075 22199 23700 28100 42150 44398 66597 84300 88796 110995 133194 200029 221990 266388 332985 400058 443980 554975 600087 665970 800116 1000145 1109950 1200174 1331940 1664925 2000290 2219900 2400348 3000435 3329850 4000580 5000725 6000870 6659700 10001450 12001740 15002175 15802291 20002900 30004350 31604582 47406873 56208149 60008700 63209164 79011455 94813746 112416298 158022910 168624447 189627492 224832596 237034365 281040745 316045820 337248894 395057275 474068730 562081490 674497788 790114550 843122235 948137460 1124162980 1185171825 1405203725 1580229100 1686244470 2370343650 2810407450 3372488940 4215611175 4440443771 4740687300 5620814900 8431222350 8880887542 13321331313 16862444700 17761775084 22202218855 26642662626 44404437710 53285325252 66606656565 88808875420 111011094275 133213313130 222022188550 266426626260 333033282825 444044377100 666066565650 1332133131300