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231023103120000 = 27325411311512467
BaseRepresentation
bin110100100001110101000001…
…111111110001001010000000
31010021222121000021100100011200
4310201311001333301022000
5220240040303344320000
62135202314243141200
766442603601031042
oct6441650177611200
91107877007310150
10231023103120000
116767a390a512a4
1221ab19a9974800
139bba50121c769
1441098138a9a92
151ba96939ad500
hexd21d41ff1280

231023103120000 has 960 divisors, whose sum is σ = 839145079618560. Its totient is φ = 60983193600000.

The previous prime is 231023103119999. The next prime is 231023103120001. The reversal of 231023103120000 is 21301320132.

231023103120000 is a `hidden beast` number, since 2 + 310 + 231 + 0 + 3 + 120 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (231023103119999) and next prime (231023103120001).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231023103120001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93645358767 + ... + 93645361233.

It is an arithmetic number, because the mean of its divisors is an integer number (874109457936).

Almost surely, 2231023103120000 is an apocalyptic number.

231023103120000 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 231023103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419572539809280).

231023103120000 is an abundant number, since it is smaller than the sum of its proper divisors (608121976498560).

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

231023103120000 is a wasteful number, since it uses less digits than its factorization.

231023103120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231023103120000 its reverse (21301320132), we get a palindrome (231044404440132).

The spelling of 231023103120000 in words is "two hundred thirty-one trillion, twenty-three billion, one hundred three million, one hundred twenty thousand".