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2321131012000 = 2553739785227
BaseRepresentation
bin100001110001101110001…
…100000111111110100000
322012220020121111111202021
4201301232030013332200
5301012134014341000
64534151325031224
7326460535032403
oct41615614077640
98186217444667
102321131012000
11815427a43169
12315a260b5514
1313ab60189078
14804b41a9d3a
15405a086711a
hex21c6e307fa0

2321131012000 has 96 divisors (see below), whose sum is σ = 5710743380160. Its totient is φ = 927194860800.

The previous prime is 2321131011989. The next prime is 2321131012007. The reversal of 2321131012000 is 2101311232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2321131012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2563387 + ... + 3348613.

It is an arithmetic number, because the mean of its divisors is an integer number (59486910210).

Almost surely, 22321131012000 is an apocalyptic number.

2321131012000 is a gapful number since it is divisible by the number (20) 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 2321131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855371690080).

2321131012000 is an abundant number, since it is smaller than the sum of its proper divisors (3389612368160).

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

2321131012000 is an equidigital number, since it uses as much as digits as its factorization.

2321131012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785991 (or 785973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2321131012000 its reverse (2101311232), we get a palindrome (2323232323232).

The spelling of 2321131012000 in words is "two trillion, three hundred twenty-one billion, one hundred thirty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 739 800 1000 1478 2000 2956 3695 4000 5912 7390 11824 14780 18475 23648 29560 36950 59120 73900 92375 118240 147800 184750 295600 369500 591200 739000 785227 1478000 1570454 2956000 3140908 3926135 6281816 7852270 12563632 15704540 19630675 25127264 31409080 39261350 62818160 78522700 98153375 125636320 157045400 196306750 314090800 392613500 580282753 628181600 785227000 1160565506 1570454000 2321131012 2901413765 3140908000 4642262024 5802827530 9284524048 11605655060 14507068825 18569048096 23211310120 29014137650 46422620240 58028275300 72535344125 92845240480 116056550600 145070688250 232113101200 290141376500 464226202400 580282753000 1160565506000 2321131012000