Search a number
-
+
5055110100 = 2233524343541
BaseRepresentation
bin1001011010100111…
…01101101111010100
3111001022002012102000
410231103231233110
540323102010400
62153340315300
7236161504215
oct45523555724
914038065360
105055110100
112164529047
12b90b42b30
136273b5c11
1435d52940c
151e8be0600
hex12d4edbd4

5055110100 has 144 divisors (see below), whose sum is σ = 16629560640. Its totient is φ = 1316649600.

The previous prime is 5055110087. The next prime is 5055110107. The reversal of 5055110100 is 10115505.

5055110100 is a `hidden beast` number, since 5 + 0 + 551 + 10 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055110107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94330 + ... + 137870.

It is an arithmetic number, because the mean of its divisors is an integer number (115483060).

Almost surely, 25055110100 is an apocalyptic number.

5055110100 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 5055110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314780320).

5055110100 is an abundant number, since it is smaller than the sum of its proper divisors (11574450540).

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

5055110100 is a wasteful number, since it uses less digits than its factorization.

5055110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43607 (or 43594 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 5055110100 is about 71099.2974648836. The cubic root of 5055110100 is about 1716.2354682012.

Adding to 5055110100 its reverse (10115505), we get a palindrome (5065225605).

The spelling of 5055110100 in words is "five billion, fifty-five million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 43 45 50 54 60 75 86 90 100 108 129 135 150 172 180 215 225 258 270 300 387 430 450 516 540 645 675 774 860 900 1075 1161 1290 1350 1548 1935 2150 2322 2580 2700 3225 3870 4300 4644 5805 6450 7740 9675 11610 12900 19350 23220 29025 38700 43541 58050 87082 116100 130623 174164 217705 261246 391869 435410 522492 653115 783738 870820 1088525 1175607 1306230 1567476 1872263 1959345 2177050 2351214 2612460 3265575 3744526 3918690 4354100 4702428 5616789 5878035 6531150 7489052 7837380 9361315 9796725 11233578 11756070 13062300 16850367 18722630 19593450 22467156 23512140 28083945 29390175 33700734 37445260 39186900 46806575 50551101 56167890 58780350 67401468 84251835 93613150 101102202 112335780 117560700 140419725 168503670 187226300 202204404 252755505 280839450 337007340 421259175 505511010 561678900 842518350 1011022020 1263777525 1685036700 2527555050 5055110100