Search a number
-
+
2100000144 = 243113977273
BaseRepresentation
bin111110100101011…
…0111010110010000
312102100112001122010
41331022313112100
513300100001034
6544214142520
7103016464254
oct17512672620
95370461563
102100000144
11988439210
124a7351a40
132760bac48
1415cc8a264
15c45673e9
hex7d2b7590

2100000144 has 40 divisors (see below), whose sum is σ = 5918183712. Its totient is φ = 636363520.

The previous prime is 2100000127. The next prime is 2100000151. The reversal of 2100000144 is 4410000012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1988109 + ... + 1989164.

Almost surely, 22100000144 is an apocalyptic number.

2100000144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100000144 is an abundant number, since it is smaller than the sum of its proper divisors (3818183568).

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

2100000144 is a wasteful number, since it uses less digits than its factorization.

2100000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977295 (or 3977289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100000144 is about 45825.7585207272. The cubic root of 2100000144 is about 1280.5791942579.

Adding to 2100000144 its reverse (4410000012), we get a palindrome (6510000156).

The spelling of 2100000144 in words is "two billion, one hundred million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3977273 7954546 11931819 15909092 23863638 31818184 43750003 47727276 63636368 87500006 95454552 131250009 175000012 190909104 262500018 350000024 525000036 700000048 1050000072 2100000144