Search a number
-
+
31120233000 = 2335319796911
BaseRepresentation
bin11100111110111010…
…010001001000101000
32222022211012122011020
4130332322101020220
51002213234424000
622144010332440
72151121421163
oct347672211050
988284178136
1031120233000
111221a61872a
12604612a120
132c1c4ab26c
141713132ada
15c22159ba0
hex73ee91228

31120233000 has 256 divisors, whose sum is σ = 103514112000. Its totient is φ = 7761312000.

The previous prime is 31120232989. The next prime is 31120233071. The reversal of 31120233000 is 33202113.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4499545 + ... + 4506455.

It is an arithmetic number, because the mean of its divisors is an integer number (404352000).

Almost surely, 231120233000 is an apocalyptic number.

31120233000 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 31120233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51757056000).

31120233000 is an abundant number, since it is smaller than the sum of its proper divisors (72393879000).

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

31120233000 is a wasteful number, since it uses less digits than its factorization.

31120233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7019 counting only the distinct ones).

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

Adding to 31120233000 its reverse (33202113), we get a palindrome (31153435113).

The spelling of 31120233000 in words is "thirty-one billion, one hundred twenty million, two hundred thirty-three thousand".