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21221100032 = 29112834127
BaseRepresentation
bin10011110000111000…
…000100101000000000
32000202221020120120212
4103300320010220000
5321430100200112
613425425453252
71350610242206
oct236070045000
960687216525
1021221100032
118aaa837600
124142aa1228
132002679132
141054549076
15843073522
hex4f0e04a00

21221100032 has 120 divisors (see below), whose sum is σ = 47178730368. Its totient is φ = 9527429120.

The previous prime is 21221100031. The next prime is 21221100067. The reversal of 21221100032 is 23000112212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21221100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5139953 + ... + 5144079.

Almost surely, 221221100032 is an apocalyptic number.

21221100032 is a gapful number since it is divisible by the number (22) 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 21221100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23589365184).

21221100032 is an abundant number, since it is smaller than the sum of its proper divisors (25957630336).

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

21221100032 is an equidigital number, since it uses as much as digits as its factorization.

21221100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21221100032 its reverse (23000112212), we get a palindrome (44221212244).

The spelling of 21221100032 in words is "twenty-one billion, two hundred twenty-one million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 256 332 352 484 512 664 704 913 968 1328 1408 1826 1936 2656 2816 3652 3872 4127 5312 5632 7304 7744 8254 10043 10624 14608 15488 16508 20086 21248 29216 30976 33016 40172 42496 45397 58432 61952 66032 80344 90794 116864 132064 160688 181588 233728 264128 321376 342541 363176 467456 499367 528256 642752 685082 726352 998734 1056512 1285504 1370164 1452704 1997468 2113024 2571008 2740328 2905408 3767951 3994936 5142016 5480656 5810816 7535902 7989872 10961312 11621632 15071804 15979744 21922624 23243264 30143608 31959488 41447461 43845248 60287216 63918976 82894922 87690496 120574432 127837952 165789844 175380992 241148864 255675904 331579688 482297728 663159376 964595456 1326318752 1929190912 2652637504 5305275008 10610550016 21221100032