Search a number
-
+
3023312331000 = 2335313103974611
BaseRepresentation
bin101011111111101011011…
…101010010000011111000
3101201000200211112101121210
4223333223131102003320
5344013220424043000
610232520203403120
7431266332541503
oct53775335220370
911630624471553
103023312331000
11a661a7aa2035
12409b312234a0
1318c1355166c0
14a648708813a
155399b19b350
hex2bfeb7520f8

3023312331000 has 256 divisors, whose sum is σ = 10168242739200. Its totient is φ = 743473728000.

The previous prime is 3023312330981. The next prime is 3023312331029. The reversal of 3023312331000 is 1332133203.

It is a super-2 number, since 2×30233123310002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40483695 + ... + 40558305.

It is an arithmetic number, because the mean of its divisors is an integer number (39719698200).

Almost surely, 23023312331000 is an apocalyptic number.

3023312331000 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 3023312331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084121369600).

3023312331000 is an abundant number, since it is smaller than the sum of its proper divisors (7144930408200).

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

3023312331000 is a wasteful number, since it uses less digits than its factorization.

3023312331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75687 (or 75673 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3023312331000 its reverse (1332133203), we get a palindrome (3024644464203).

The spelling of 3023312331000 in words is "three trillion, twenty-three billion, three hundred twelve million, three hundred thirty-one thousand".