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20531333000 = 235329224413
BaseRepresentation
bin10011000111110000…
…110100011110001000
31221222212022210002202
4103013300310132020
5314022010124000
613233145415332
71324533310463
oct230760643610
957885283082
1020531333000
118786447402
123b8ba9a548
131c227b0669
14dcaab62da
15802722dd5
hex4c7c34788

20531333000 has 96 divisors (see below), whose sum is σ = 49759149960. Its totient is φ = 7929017600.

The previous prime is 20531332993. The next prime is 20531333021. The reversal of 20531333000 is 33313502.

It can be written as a sum of positive squares in 12 ways, for example, as 2391014404 + 18140318596 = 48898^2 + 134686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 828794 + ... + 853206.

Almost surely, 220531333000 is an apocalyptic number.

20531333000 is a gapful number since it is divisible by the number (20) 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 20531333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879574980).

20531333000 is an abundant number, since it is smaller than the sum of its proper divisors (29227816960).

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

20531333000 is a wasteful number, since it uses less digits than its factorization.

20531333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24492 (or 24449 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 20531333000 its reverse (33313502), we get a palindrome (20564646502).

The spelling of 20531333000 in words is "twenty billion, five hundred thirty-one million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 841 1000 1160 1450 1682 2900 3364 3625 4205 5800 6728 7250 8410 14500 16820 21025 24413 29000 33640 42050 48826 84100 97652 105125 122065 168200 195304 210250 244130 420500 488260 610325 707977 841000 976520 1220650 1415954 2441300 2831908 3051625 3539885 4882600 5663816 6103250 7079770 12206500 14159540 17699425 20531333 24413000 28319080 35398850 41062666 70797700 82125332 88497125 102656665 141595400 164250664 176994250 205313330 353988500 410626660 513283325 707977000 821253320 1026566650 2053133300 2566416625 4106266600 5132833250 10265666500 20531333000