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5105112500 = 22551492741
BaseRepresentation
bin1001100000100100…
…11101010110110100
3111011210011120210202
410300102131112310
540423402100000
62202324140032
7240336511625
oct46022352664
914153146722
105105112500
11218a780644
12ba5837618
13634872437
14366023a4c
151ed2badd5
hex13049d5b4

5105112500 has 72 divisors (see below), whose sum is σ = 11245764600. Its totient is φ = 2027600000.

The previous prime is 5105112479. The next prime is 5105112539. The reversal of 5105112500 is 52115015.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4701022096 + 404090404 = 68564^2 + 20102^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861130 + ... + 1863870.

It is an arithmetic number, because the mean of its divisors is an integer number (156191175).

Almost surely, 25105112500 is an apocalyptic number.

5105112500 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 5105112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622882300).

5105112500 is an abundant number, since it is smaller than the sum of its proper divisors (6140652100).

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

5105112500 is a wasteful number, since it uses less digits than its factorization.

5105112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 5105112500 is about 71450.0699789720. The cubic root of 5105112500 is about 1721.8756018039.

Adding to 5105112500 its reverse (52115015), we get a palindrome (5157227515).

The spelling of 5105112500 in words is "five billion, one hundred five million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 149 250 298 500 596 625 745 1250 1490 2500 2741 2980 3125 3725 5482 6250 7450 10964 12500 13705 14900 18625 27410 37250 54820 68525 74500 93125 137050 186250 274100 342625 372500 408409 465625 685250 816818 931250 1370500 1633636 1713125 1862500 2042045 3426250 4084090 6852500 8168180 8565625 10210225 17131250 20420450 34262500 40840900 51051125 102102250 204204500 255255625 510511250 1021022500 1276278125 2552556250 5105112500