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5010100000 = 255550101
BaseRepresentation
bin1001010101010000…
…00000111100100000
3110221011101110011021
410222220000330200
540230041200000
62145051455224
7235104101353
oct45250007440
913834343137
105010100000
112141086314
12b79a57514
1361ac86b19
1435757029a
151e4c9e11a
hex12aa00f20

5010100000 has 72 divisors (see below), whose sum is σ = 12328999956. Its totient is φ = 2004000000.

The previous prime is 5010099953. The next prime is 5010100003. The reversal of 5010100000 is 10105.

It can be written as a sum of positive squares in 6 ways, for example, as 1413459216 + 3596640784 = 37596^2 + 59972^2 .

It is a super-2 number, since 2×50101000002 = 50202204020000000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5010100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74950 + ... + 125050.

Almost surely, 25010100000 is an apocalyptic number.

5010100000 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 5010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164499978).

5010100000 is an abundant number, since it is smaller than the sum of its proper divisors (7318899956).

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

5010100000 is an frugal number, since it uses more digits than its factorization.

5010100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50136 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 5010100000 is about 70782.0598739539. The cubic root of 5010100000 is about 1711.1265560845.

Adding to 5010100000 its reverse (10105), we get a palindrome (5010110105).

The spelling of 5010100000 in words is "five billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 50101 100000 100202 200404 250505 400808 501010 801616 1002020 1252525 1603232 2004040 2505050 4008080 5010100 6262625 8016160 10020200 12525250 20040400 25050500 31313125 40080800 50101000 62626250 100202000 125252500 156565625 200404000 250505000 313131250 501010000 626262500 1002020000 1252525000 2505050000 5010100000