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230120010000 = 2432543676967
BaseRepresentation
bin1101011001010000111…
…0001011000100010000
3210222222110101201122100
43112110032023010100
512232241210310000
6253414330240400
722424405545146
oct3262416130420
9728873351570
10230120010000
1189658823551
1238722886100
13189145128ba
14b1d0449596
155ebc8a6a00
hex359438b110

230120010000 has 300 divisors, whose sum is σ = 807071554432. Its totient is φ = 61189344000.

The previous prime is 230120009983. The next prime is 230120010013. The reversal of 230120010000 is 10021032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33026517 + ... + 33033483.

Almost surely, 2230120010000 is an apocalyptic number.

230120010000 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 230120010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403535777216).

230120010000 is an abundant number, since it is smaller than the sum of its proper divisors (576951544432).

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

230120010000 is a wasteful number, since it uses less digits than its factorization.

230120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 230120010000 its reverse (10021032), we get a palindrome (230130031032).

It can be divided in two parts, 2301 and 20010000, that added together give a triangular number (20012301 = T6326).

The spelling of 230120010000 in words is "two hundred thirty billion, one hundred twenty million, ten thousand".