Search a number
-
+
231280920000 = 2634541317219
BaseRepresentation
bin1101011101100101101…
…0101100010111000000
3211002222100212001210000
43113121122230113000
512242130403420000
6254125440440000
722465233245334
oct3273132542700
9732870761700
10231280920000
118a0a40603a9
12389a7619000
1318a6ab9b7b0
14b2a06c17c4
156039770000
hex35d96ac5c0

231280920000 has 2100 divisors, whose sum is σ = 1031659856920. Its totient is φ = 50761728000.

The previous prime is 231280919977. The next prime is 231280920007. The reversal of 231280920000 is 29082132.

It is a happy number.

231280920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2312809200004 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231280920007) by changing a digit.

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 299 ways as a sum of consecutive naturals, for example, 12172679991 + ... + 12172680009.

Almost surely, 2231280920000 is an apocalyptic number.

231280920000 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 231280920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515829928460).

231280920000 is an abundant number, since it is smaller than the sum of its proper divisors (800378936920).

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

231280920000 is a wasteful number, since it uses less digits than its factorization.

231280920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 231280920000 in words is "two hundred thirty-one billion, two hundred eighty million, nine hundred twenty thousand".