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1132330303120 = 245101154390823
BaseRepresentation
bin10000011110100100001…
…001010011111010010000
311000020202001020100000211
4100132210021103322100
5122023003024144440
62224104012053504
7144544125525022
oct20364411237220
94006661210024
101132330303120
113a7244a33275
12163553164294
1382a16b95453
143cb3b1cc012
151e6c3e84eea
hex107a4253e90

1132330303120 has 80 divisors (see below), whose sum is σ = 2660486360832. Its totient is φ = 448152076800.

The previous prime is 1132330303073. The next prime is 1132330303133. The reversal of 1132330303120 is 213030332311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1132330303091 and 1132330303100.

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 15 ways as a sum of consecutive naturals, for example, 12422029 + ... + 12512851.

Almost surely, 21132330303120 is an apocalyptic number.

1132330303120 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 1132330303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330243180416).

1132330303120 is an abundant number, since it is smaller than the sum of its proper divisors (1528156057712).

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

1132330303120 is a wasteful number, since it uses less digits than its factorization.

1132330303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92480 (or 92474 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1132330303120 its reverse (213030332311), we get a palindrome (1345360635431).

The spelling of 1132330303120 in words is "one trillion, one hundred thirty-two billion, three hundred thirty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1543 1616 2020 3086 4040 6172 7715 8080 12344 15430 24688 30860 61720 90823 123440 155843 181646 311686 363292 454115 623372 726584 779215 908230 1246744 1453168 1558430 1816460 2493488 3116860 3632920 6233720 7265840 9173123 12467440 18346246 36692492 45865615 73384984 91731230 140139889 146769968 183462460 280279778 366924920 560559556 700699445 733849840 1121119112 1401398890 2242238224 2802797780 5605595560 11211191120 14154128789 28308257578 56616515156 70770643945 113233030312 141541287890 226466060624 283082575780 566165151560 1132330303120