Search a number
-
+
201324013020 = 223251386035903
BaseRepresentation
bin1011101101111111011…
…0001010010111011100
3201020122121122111220200
42323133312022113130
511244302421404040
6232253104143500
720354665606164
oct2733766122734
9636577574820
10201324013020
117842117a839
1233027007b90
1315ca5714030
149a5bc935a4
155384809630
hex2edfd8a5dc

201324013020 has 72 divisors (see below), whose sum is σ = 657658450176. Its totient is φ = 49556679552.

The previous prime is 201324013001. The next prime is 201324013043. The reversal of 201324013020 is 20310423102.

201324013020 is a `hidden beast` number, since 201 + 32 + 401 + 30 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201324012984 and 201324013002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43015612 + ... + 43020291.

Almost surely, 2201324013020 is an apocalyptic number.

201324013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201324013020 is an abundant number, since it is smaller than the sum of its proper divisors (456334437156).

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

201324013020 is a wasteful number, since it uses less digits than its factorization.

201324013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86035931 (or 86035926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201324013020 its reverse (20310423102), we get a palindrome (221634436122).

The spelling of 201324013020 in words is "two hundred one billion, three hundred twenty-four million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 86035903 172071806 258107709 344143612 430179515 516215418 774323127 860359030 1032430836 1118466739 1290538545 1548646254 1720718060 2236933478 2581077090 3097292508 3355400217 3871615635 4473866956 5162154180 5592333695 6710800434 7743231270 10066200651 11184667390 13421600868 15486462540 16777001085 20132401302 22369334780 33554002170 40264802604 50331003255 67108004340 100662006510 201324013020