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21333313332 = 2233375338667
BaseRepresentation
bin10011110111100100…
…001000011100110100
32001001202101121022000
4103313210020130310
5322142312011312
613444514535300
71353442112532
oct236744103464
961052347260
1021333313332
119058110071
124174597530
13201c9a7a36
1410653d9152
1584cd3badc
hex4f7908734

21333313332 has 48 divisors (see below), whose sum is σ = 56803427520. Its totient is φ = 6918911136.

The previous prime is 21333313321. The next prime is 21333313333. The reversal of 21333313332 is 23331333312.

21333313332 is a `hidden beast` number, since 2 + 13 + 3 + 3 + 313 + 332 = 666.

It is a super-2 number, since 2×213333133322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21333313296 and 21333313305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333313333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665338 + ... + 2673329.

It is an arithmetic number, because the mean of its divisors is an integer number (1183404740).

Almost surely, 221333313332 is an apocalyptic number.

It is an amenable number.

21333313332 is an abundant number, since it is smaller than the sum of its proper divisors (35470114188).

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

21333313332 is a wasteful number, since it uses less digits than its factorization.

21333313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338717 (or 5338709 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 21333313332 its reverse (23331333312), we get a palindrome (44664646644).

The spelling of 21333313332 in words is "twenty-one billion, three hundred thirty-three million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 5338667 10677334 16016001 21354668 32032002 48048003 64064004 96096006 144144009 192192012 197530679 288288018 395061358 576576036 592592037 790122716 1185184074 1777776111 2370368148 3555552222 5333328333 7111104444 10666656666 21333313332