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20146120300 = 22521723834973
BaseRepresentation
bin10010110000110011…
…010110011001101100
31221000000110221121201
4102300303112121230
5312224401322200
613131025135244
71312145124415
oct226063263154
957000427551
1020146120300
1185a8a613a9
123aa2a8a524
131b90a48957
14d9188080c
157cd9d0c6a
hex4b0cd666c

20146120300 has 72 divisors (see below), whose sum is σ = 46317410496. Its totient is φ = 7579714560.

The previous prime is 20146120297. The next prime is 20146120307. The reversal of 20146120300 is 302164102.

It is not an unprimeable number, because it can be changed into a prime (20146120307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4048614 + ... + 4053586.

It is an arithmetic number, because the mean of its divisors is an integer number (643297368).

Almost surely, 220146120300 is an apocalyptic number.

20146120300 is a gapful number since it is divisible by the number (20) 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 20146120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23158705248).

20146120300 is an abundant number, since it is smaller than the sum of its proper divisors (26171290196).

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

20146120300 is a wasteful number, since it uses less digits than its factorization.

20146120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20146120300 its reverse (302164102), we get a palindrome (20448284402).

The spelling of 20146120300 in words is "twenty billion, one hundred forty-six million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2383 4766 4973 9532 9946 11915 19892 23830 24865 40511 47660 49730 59575 81022 84541 99460 119150 124325 162044 169082 202555 238300 248650 338164 405110 422705 497300 810220 845410 1012775 1690820 2025550 2113525 4051100 4227050 8454100 11850659 23701318 47402636 59253295 118506590 201461203 237013180 296266475 402922406 592532950 805844812 1007306015 1185065900 2014612030 4029224060 5036530075 10073060150 20146120300