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231330210000 = 2435411368239
BaseRepresentation
bin1101011101110001011…
…0101110000011010000
3211010002210121020221120
43113130112232003100
512242231013210000
6254134401122240
722466402225061
oct3273426560320
9733083536846
10231330210000
118a11996673a
1238a00029380
1318a78168986
14b2a7072568
15603dc596a0
hex35dc5ae0d0

231330210000 has 200 divisors, whose sum is σ = 753384339840. Its totient is φ = 61141248000.

The previous prime is 231330209983. The next prime is 231330210017. The reversal of 231330210000 is 12033132.

231330210000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231330209983) and next prime (231330210017).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3355881 + ... + 3424119.

Almost surely, 2231330210000 is an apocalyptic number.

231330210000 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 231330210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376692169920).

231330210000 is an abundant number, since it is smaller than the sum of its proper divisors (522054129840).

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

231330210000 is a wasteful number, since it uses less digits than its factorization.

231330210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68383 (or 68362 counting only the distinct ones).

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

Adding to 231330210000 its reverse (12033132), we get a palindrome (231342243132).

It can be divided in two parts, 231330 and 210000, that added together give a triangular number (441330 = T939).

The spelling of 231330210000 in words is "two hundred thirty-one billion, three hundred thirty million, two hundred ten thousand".