Search a number
-
+
5031117000 = 2332537136143
BaseRepresentation
bin1001010111110000…
…01100000011001000
3110222121221020001200
410223320030003020
540300431221000
62151122144200
7235450534410
oct45370140310
913877836050
105031117000
112151a30738
12b84ab2060
13622435110
1435a281640
151e6a51500
hex12be0c0c8

5031117000 has 384 divisors, whose sum is σ = 20932853760. Its totient is φ = 1061337600.

The previous prime is 5031116999. The next prime is 5031117001. The reversal of 5031117000 is 7111305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5031116999) and next prime (5031117001).

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 (5031117001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815929 + ... + 822071.

It is an arithmetic number, because the mean of its divisors is an integer number (54512640).

Almost surely, 25031117000 is an apocalyptic number.

5031117000 is a gapful number since it is divisible by the number (50) 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 5031117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466426880).

5031117000 is an abundant number, since it is smaller than the sum of its proper divisors (15901736760).

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

5031117000 is a wasteful number, since it uses less digits than its factorization.

5031117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 5031117000 is about 70930.3672625484. The cubic root of 5031117000 is about 1713.5159013853.

Adding to 5031117000 its reverse (7111305), we get a palindrome (5038228305).

The spelling of 5031117000 in words is "five billion, thirty-one million, one hundred seventeen thousand".