Search a number
-
+
203424131024100 = 223252732289544607
BaseRepresentation
bin101110010000001101011111…
…000100011000010011100100
3222200021011020110020201222200
4232100031133010120103210
5203130400110020232400
62000351431120454500
760563623413640560
oct5620153704302344
9880234213221880
10203424131024100
11598a9764785a48
121a994b61a7a430
138967a759100ac
143833acd8a46a0
15187b7dd94eb00
hexb9035f1184e4

203424131024100 has 108 divisors (see below), whose sum is σ = 728710442713344. Its totient is φ = 46496944232640.

The previous prime is 203424131024089. The next prime is 203424131024131. The reversal of 203424131024100 is 1420131424302.

203424131024100 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 2 + 413 + 1 + 0 + 241 + 0 + 0 = 666.

It is a super-2 number, since 2×2034241310241002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16144766004 + ... + 16144778603.

Almost surely, 2203424131024100 is an apocalyptic number.

203424131024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203424131024100 is an abundant number, since it is smaller than the sum of its proper divisors (525286311689244).

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

203424131024100 is a wasteful number, since it uses less digits than its factorization.

203424131024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32289544634 (or 32289544624 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 203424131024100 its reverse (1420131424302), we get a palindrome (204844262448402).

The spelling of 203424131024100 in words is "two hundred three trillion, four hundred twenty-four billion, one hundred thirty-one million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 32289544607 64579089214 96868633821 129158178428 161447723035 193737267642 226026812249 290605901463 322895446070 387474535284 452053624498 484343169105 581211802926 645790892140 678080436747 807238615175 904107248996 968686338210 1130134061245 1162423605852 1356160873494 1453029507315 1614477230350 1937372676420 2034241310241 2260268122490 2421715845525 2712321746988 2906059014630 3228954460700 3390402183735 4068482620482 4520536244980 4843431691050 5650670306225 5812118029260 6780804367470 7265147536575 8136965240964 9686863382100 10171206551205 11301340612450 13561608734940 14530295073150 16952010918675 20342413102410 22602681224900 29060590146300 33904021837350 40684826204820 50856032756025 67808043674700 101712065512050 203424131024100