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21112221108 = 22311199786783
BaseRepresentation
bin10011101010011000…
…101110110110110100
32000111100100221210010
4103222120232312310
5321214212033413
613410540100220
71345115630016
oct235230566664
960440327703
1021112221108
118a54331220
124112534670
131cb5c47134
141043cc61b6
15838717dc3
hex4ea62edb4

21112221108 has 96 divisors (see below), whose sum is σ = 57152471040. Its totient is φ = 5998371840.

The previous prime is 21112221101. The next prime is 21112221131. The reversal of 21112221108 is 80112221112.

It is a super-2 number, since 2×211122211082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199885 + ... + 286667.

It is an arithmetic number, because the mean of its divisors is an integer number (595338240).

Almost surely, 221112221108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112221108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576235520).

21112221108 is an abundant number, since it is smaller than the sum of its proper divisors (36040249932).

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

21112221108 is a wasteful number, since it uses less digits than its factorization.

21112221108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86917 (or 86915 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 21112221108 in words is "twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 97 114 132 194 209 228 291 388 418 582 627 836 1067 1164 1254 1843 2134 2508 3201 3686 4268 5529 6402 7372 11058 12804 20273 22116 40546 60819 81092 86783 121638 173566 243276 260349 347132 520698 954613 1041396 1648877 1909226 2863839 3297754 3818452 4946631 5727678 6595508 8417951 9893262 11455356 16835902 18137647 19786524 25253853 33671804 36275294 50507706 54412941 72550588 92597461 101015412 108825882 159941069 185194922 217651764 277792383 319882138 370389844 479823207 555584766 639764276 959646414 1111169532 1759351759 1919292828 3518703518 5278055277 7037407036 10556110554 21112221108