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111221010100 = 22527128575483
BaseRepresentation
bin110011110010101001…
…0011110111010110100
3101122002011221201100101
41213211102132322310
53310240034310400
6123032204123444
711015105662444
oct1474522367264
9348064851311
10111221010100
11431943a7072
121967b836584
13a6464694a5
145551422124
152d5e3d356a
hex19e549eeb4

111221010100 has 72 divisors (see below), whose sum is σ = 244879201728. Its totient is φ = 43838457600.

The previous prime is 111221010097. The next prime is 111221010133. The reversal of 111221010100 is 1010122111.

It is a super-2 number, since 2×1112210101002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20281959 + ... + 20287441.

It is an arithmetic number, because the mean of its divisors is an integer number (3401100024).

Almost surely, 2111221010100 is an apocalyptic number.

111221010100 is a gapful number since it is divisible by the number (10) 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 111221010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122439600864).

111221010100 is an abundant number, since it is smaller than the sum of its proper divisors (133658191628).

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

111221010100 is a wasteful number, since it uses less digits than its factorization.

111221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111221010100 its reverse (1010122111), we get a palindrome (112231132211).

The spelling of 111221010100 in words is "one hundred eleven billion, two hundred twenty-one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1775 2857 3550 5483 5714 7100 10966 11428 14285 21932 27415 28570 54830 57140 71425 109660 137075 142850 202847 274150 285700 389293 405694 548300 778586 811388 1014235 1557172 1946465 2028470 3892930 4056940 5071175 7785860 9732325 10142350 15664931 19464650 20284700 31329862 38929300 62659724 78324655 156649310 313298620 391623275 783246550 1112210101 1566493100 2224420202 4448840404 5561050505 11122101010 22244202020 27805252525 55610505050 111221010100