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1231330000 = 2454592087
BaseRepresentation
bin100100101100100…
…1001101011010000
310011210222001012211
41021121021223100
510010210030000
6322103401504
742341063245
oct11131115320
93153861184
101231330000
115820654aa
122a4453294
13168143944
14b97675cc
15731787ba
hex49649ad0

1231330000 has 100 divisors (see below), whose sum is σ = 3033154080. Its totient is φ = 483952000.

The previous prime is 1231329977. The next prime is 1231330007. The reversal of 1231330000 is 331321.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 588957 + ... + 591043.

Almost surely, 21231330000 is an apocalyptic number.

1231330000 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 1231330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516577040).

1231330000 is an abundant number, since it is smaller than the sum of its proper divisors (1801824080).

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

1231330000 is an equidigital number, since it uses as much as digits as its factorization.

1231330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1231330000 is about 35090.3120533289. The cubic root of 1231330000 is about 1071.8273140195.

Adding to 1231330000 its reverse (331321), we get a palindrome (1231661321).

The spelling of 1231330000 in words is "one billion, two hundred thirty-one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 625 944 1000 1180 1250 1475 2000 2087 2360 2500 2950 4174 4720 5000 5900 7375 8348 10000 10435 11800 14750 16696 20870 23600 29500 33392 36875 41740 52175 59000 73750 83480 104350 118000 123133 147500 166960 208700 246266 260875 295000 417400 492532 521750 590000 615665 834800 985064 1043500 1231330 1304375 1970128 2087000 2462660 2608750 3078325 4174000 4925320 5217500 6156650 9850640 10435000 12313300 15391625 20870000 24626600 30783250 49253200 61566500 76958125 123133000 153916250 246266000 307832500 615665000 1231330000