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21133210240 = 27533020641
BaseRepresentation
bin10011101011101000…
…110011001010000000
32000112210212022110101
4103223220303022000
5321240100211430
613413010012144
71345462215562
oct235350631200
960483768411
1021133210240
118a6516770a
124119577054
131cba3b583c
1410469cb332
1583a4b1dca
hex4eba33280

21133210240 has 32 divisors (see below), whose sum is σ = 50521582260. Its totient is φ = 8453283840.

The previous prime is 21133210213. The next prime is 21133210243. The reversal of 21133210240 is 4201233112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20362148416 + 771061824 = 142696^2 + 27768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×211332102402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21133210243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16509681 + ... + 16510960.

Almost surely, 221133210240 is an apocalyptic number.

21133210240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21133210240 is an abundant number, since it is smaller than the sum of its proper divisors (29388372020).

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

21133210240 is an equidigital number, since it uses as much as digits as its factorization.

21133210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33020660 (or 33020648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21133210240 its reverse (4201233112), we get a palindrome (25334443352).

The spelling of 21133210240 in words is "twenty-one billion, one hundred thirty-three million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 33020641 66041282 132082564 165103205 264165128 330206410 528330256 660412820 1056660512 1320825640 2113321024 2641651280 4226642048 5283302560 10566605120 21133210240