Search a number
-
+
5102631000 = 2332533118289
BaseRepresentation
bin1001100000010001…
…11111100001011000
3111011121111111211100
410300020333201120
540422233143000
62202155031400
7240306435135
oct46010774130
914147444740
105102631000
112189336215
12ba4a3b560
136341b3aac
1436597958c
151ece7aa00
hex13023f858

5102631000 has 192 divisors, whose sum is σ = 17804217600. Its totient is φ = 1316736000.

The previous prime is 5102630963. The next prime is 5102631007. The reversal of 5102631000 is 1362015.

It is a super-2 number, since 2×51026310002 = 52073686244322000000, which contains 22 as substring.

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 (5102631007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269856 + ... + 288144.

It is an arithmetic number, because the mean of its divisors is an integer number (92730300).

Almost surely, 25102631000 is an apocalyptic number.

5102631000 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 5102631000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902108800).

5102631000 is an abundant number, since it is smaller than the sum of its proper divisors (12701586600).

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

5102631000 is a wasteful number, since it uses less digits than its factorization.

5102631000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18347 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5102631000 is about 71432.7025948200. The cubic root of 5102631000 is about 1721.5965660459.

Adding to 5102631000 its reverse (1362015), we get a palindrome (5103993015).

The spelling of 5102631000 in words is "five billion, one hundred two million, six hundred thirty-one thousand".