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21122133312 = 263715715873
BaseRepresentation
bin10011101010111110…
…100010110101000000
32000112001000112202210
4103222332202311000
5321224231231222
613411532342120
71345266112410
oct235276426500
960461015683
1021122133312
118a59991425
124115914940
131cb8007a47
141045346640
15839524d0c
hex4eafa2d40

21122133312 has 56 divisors (see below), whose sum is σ = 63869311936. Its totient is φ = 6034894848.

The previous prime is 21122133287. The next prime is 21122133323. The reversal of 21122133312 is 21333122112.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×211221333122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7856593 + ... + 7859280.

Almost surely, 221122133312 is an apocalyptic number.

It is an amenable number.

21122133312 is an abundant number, since it is smaller than the sum of its proper divisors (42747178624).

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

21122133312 is a wasteful number, since it uses less digits than its factorization.

21122133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15715895 (or 15715885 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 21122133312 its reverse (21333122112), we get a palindrome (42455255424).

The spelling of 21122133312 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 15715873 31431746 47147619 62863492 94295238 110011111 125726984 188590476 220022222 251453968 330033333 377180952 440044444 502907936 660066666 754361904 880088888 1005815872 1320133332 1508723808 1760177776 2640266664 3017447616 3520355552 5280533328 7040711104 10561066656 21122133312