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21021222112 = 25112910120389
BaseRepresentation
bin10011100100111101…
…100110010011100000
32000021000010201121221
4103210331212103200
5321022413101422
613353525424424
71342632303562
oct234475462340
960230121557
1021021222112
118a07a28340
1240a7b6b114
131ca0135587
141035b99332
158307403c7
hex4e4f664e0

21021222112 has 96 divisors (see below), whose sum is σ = 47169410400. Its totient is φ = 9133824000.

The previous prime is 21021222077. The next prime is 21021222119. The reversal of 21021222112 is 21122212012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021222119) 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, 1020814 + ... + 1041202.

It is an arithmetic number, because the mean of its divisors is an integer number (491348025).

Almost surely, 221021222112 is an apocalyptic number.

21021222112 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 21021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584705200).

21021222112 is an abundant number, since it is smaller than the sum of its proper divisors (26148188288).

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

21021222112 is a wasteful number, since it uses less digits than its factorization.

21021222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540 (or 20532 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021222112 its reverse (21122212012), we get a palindrome (42143434124).

It can be divided in two parts, 210212 and 22112, that added together give a square (232324 = 4822).

The spelling of 21021222112 in words is "twenty-one billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 101 116 176 202 232 319 352 404 464 638 808 928 1111 1276 1616 2222 2552 2929 3232 4444 5104 5858 8888 10208 11716 17776 20389 23432 32219 35552 40778 46864 64438 81556 93728 128876 163112 224279 257752 326224 448558 515504 591281 652448 897116 1031008 1182562 1794232 2059289 2365124 3588464 4118578 4730248 6504091 7176928 8237156 9460496 13008182 16474312 18920992 22652179 26016364 32948624 45304358 52032728 59719381 65897248 90608716 104065456 119438762 181217432 208130912 238877524 362434864 477755048 656913191 724869728 955510096 1313826382 1911020192 2627652764 5255305528 10510611056 21021222112