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150005006100 = 223252166672229
BaseRepresentation
bin1000101110110011111…
…1101011111100010100
3112100012002212211221200
42023230333223330110
54424202240143400
6152524503512500
713560156341205
oct2135477537424
9470162784850
10150005006100
1158686a08324
12250a4458730
13111b7612c51
1473902d55ac
153d7e26cb00
hex22ecfebf14

150005006100 has 54 divisors (see below), whose sum is σ = 470182360830. Its totient is φ = 40001334720.

The previous prime is 150005006071. The next prime is 150005006131. The reversal of 150005006100 is 1600500051.

150005006100 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 0 + 50 + 0 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8363664 + 149996642436 = 2892^2 + 387294^2 .

It is a super-2 number, since 2×1500050061002 (a number of 23 digits) 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83335215 + ... + 83337014.

Almost surely, 2150005006100 is an apocalyptic number.

150005006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150005006100 is an abundant number, since it is smaller than the sum of its proper divisors (320177354730).

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

150005006100 is a wasteful number, since it uses less digits than its factorization.

150005006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166672249 (or 166672239 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 150005006100 its reverse (1600500051), we get a palindrome (151605506151).

The spelling of 150005006100 in words is "one hundred fifty billion, five million, six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 166672229 333344458 500016687 666688916 833361145 1000033374 1500050061 1666722290 2000066748 2500083435 3000100122 3333444580 4166805725 5000166870 6000200244 7500250305 8333611450 10000333740 12500417175 15000500610 16667222900 25000834350 30001001220 37501251525 50001668700 75002503050 150005006100