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232311130000 = 2454472811759
BaseRepresentation
bin1101100001011011010…
…0101000011110010000
3211012122011101011012221
43120112310220132100
512301233122130000
6254420001430424
722532613011125
oct3302664503620
9735564334187
10232311130000
118a582638424
123903463b414
1318ba3455401
14b35b45474c
156099e1c61a
hex3616d28790

232311130000 has 200 divisors, whose sum is σ = 576787368960. Its totient is φ = 90572160000.

The previous prime is 232311129917. The next prime is 232311130061. The reversal of 232311130000 is 31113232.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2323111300002 (a number of 24 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 132069121 + ... + 132070879.

Almost surely, 2232311130000 is an apocalyptic number.

232311130000 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 232311130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288393684480).

232311130000 is an abundant number, since it is smaller than the sum of its proper divisors (344476238960).

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

232311130000 is a wasteful number, since it uses less digits than its factorization.

232311130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 232311130000 its reverse (31113232), we get a palindrome (232342243232).

The spelling of 232311130000 in words is "two hundred thirty-two billion, three hundred eleven million, one hundred thirty thousand".