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1231332000 = 25353102611
BaseRepresentation
bin100100101100100…
…1010001010100000
310011210222010221220
41021121022022200
510010210111000
6322103415040
742341102133
oct11131121240
93153863856
101231332000
11582066a58
122a4454480
13168144822
14b976821a
15731791a0
hex4964a2a0

1231332000 has 96 divisors (see below), whose sum is σ = 4033882944. Its totient is φ = 328352000.

The previous prime is 1231331989. The next prime is 1231332001. The reversal of 1231332000 is 2331321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39306 + ... + 63305.

It is an arithmetic number, because the mean of its divisors is an integer number (42019614).

Almost surely, 21231332000 is an apocalyptic number.

1231332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231332000 is an abundant number, since it is smaller than the sum of its proper divisors (2802550944).

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

1231332000 is a wasteful number, since it uses less digits than its factorization.

1231332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102639 (or 102621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1231332000 is about 35090.3405512115. The cubic root of 1231332000 is about 1071.8278943279.

Adding to 1231332000 its reverse (2331321), we get a palindrome (1233663321).

The spelling of 1231332000 in words is "one billion, two hundred thirty-one million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 102611 205222 307833 410444 513055 615666 820888 1026110 1231332 1539165 1641776 2052220 2462664 2565275 3078330 3283552 4104440 4925328 5130550 6156660 7695825 8208880 9850656 10261100 12313320 12826375 15391650 16417760 20522200 24626640 25652750 30783300 38479125 41044400 49253280 51305500 61566600 76958250 82088800 102611000 123133200 153916500 205222000 246266400 307833000 410444000 615666000 1231332000