Search a number
-
+
5013220300 = 225211192310429
BaseRepresentation
bin1001010101100111…
…11010101111001100
3110221101020222101221
410222303322233030
540231341022200
62145242413124
7235142445424
oct45263725714
913841228357
105013220300
112142917680
12b7ab011a4
1361b80a15a
14357b43484
151e51b891a
hex12acfabcc

5013220300 has 144 divisors (see below), whose sum is σ = 13036665600. Its totient is φ = 1651795200.

The previous prime is 5013220283. The next prime is 5013220301. The reversal of 5013220300 is 30223105.

It is not an unprimeable number, because it can be changed into a prime (5013220301) 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, 475486 + ... + 485914.

It is an arithmetic number, because the mean of its divisors is an integer number (90532400).

Almost surely, 25013220300 is an apocalyptic number.

5013220300 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 5013220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518332800).

5013220300 is an abundant number, since it is smaller than the sum of its proper divisors (8023445300).

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

5013220300 is a wasteful number, since it uses less digits than its factorization.

5013220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 5013220300 is about 70804.0980452403. The cubic root of 5013220300 is about 1711.4817133435.

Adding to 5013220300 its reverse (30223105), we get a palindrome (5043443405).

The spelling of 5013220300 in words is "five billion, thirteen million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 23 25 38 44 46 50 55 76 92 95 100 110 115 190 209 220 230 253 275 380 418 437 460 475 506 550 575 836 874 950 1012 1045 1100 1150 1265 1748 1900 2090 2185 2300 2530 4180 4370 4807 5060 5225 6325 8740 9614 10429 10450 10925 12650 19228 20858 20900 21850 24035 25300 41716 43700 48070 52145 96140 104290 114719 120175 198151 208580 229438 239867 240350 260725 396302 458876 479734 480700 521450 573595 792604 959468 990755 1042900 1147190 1199335 1981510 2179661 2294380 2398670 2638537 2867975 3963020 4359322 4557473 4797340 4953775 5277074 5735950 5996675 8718644 9114946 9907550 10554148 10898305 11471900 11993350 13192685 18229892 19815100 21796610 22787365 23986700 26385370 43593220 45574730 50132203 52770740 54491525 65963425 91149460 100264406 108983050 113936825 131926850 200528812 217966100 227873650 250661015 263853700 455747300 501322030 1002644060 1253305075 2506610150 5013220300