Search a number
-
+
300012031323000 = 233253374719168873
BaseRepresentation
bin100010000110110111111111…
…0100011100010101101111000
31110100020212111022000010021200
41010031233332203202231320
5303310344120004314000
62542023342521134200
7120123103546152363
oct10415577643425570
91410225438003250
10300012031323000
118765842a425577
122979441232a360
13cb53022bb5859
1454129346890da
1524a4004c1a500
hex110dbfe8e2b78

300012031323000 has 384 divisors, whose sum is σ = 1063605676273920. Its totient is φ = 76184764876800.

The previous prime is 300012031322957. The next prime is 300012031323001. The reversal of 300012031323000 is 323130210003.

300012031323000 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 120 + 313 + 230 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300012031323001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6066564 + ... + 25235436.

It is an arithmetic number, because the mean of its divisors is an integer number (2769806448630).

Almost surely, 2300012031323000 is an apocalyptic number.

300012031323000 is a gapful number since it is divisible by the number (30) 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 300012031323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531802838136960).

300012031323000 is an abundant number, since it is smaller than the sum of its proper divisors (763593644950920).

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

300012031323000 is a wasteful number, since it uses less digits than its factorization.

300012031323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168984 (or 19168967 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 300012031323000 its reverse (323130210003), we get a palindrome (300335161533003).

The spelling of 300012031323000 in words is "three hundred trillion, twelve billion, thirty-one million, three hundred twenty-three thousand".