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221220001100 = 225272291556791
BaseRepresentation
bin1100111000000110111…
…1010101010101001100
3210011000012110102122002
43032001233111111030
512111024310013400
6245343240211432
721661015661300
oct3160157252514
9704005412562
10221220001100
1185900a1809a
1236a5a169b78
1317b266a2047
14a9c8421d00
155b4b37bed5
hex3381bd554c

221220001100 has 108 divisors (see below), whose sum is σ = 577678807440. Its totient is φ = 73231401600.

The previous prime is 221220001027. The next prime is 221220001109. The reversal of 221220001100 is 1100022122.

It is a happy number.

221220001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221220001109) 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 35 ways as a sum of consecutive naturals, for example, 636296 + ... + 920495.

Almost surely, 2221220001100 is an apocalyptic number.

221220001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220001100 is an abundant number, since it is smaller than the sum of its proper divisors (356458806340).

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

221220001100 is a wasteful number, since it uses less digits than its factorization.

221220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556848 (or 1556834 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221220001100 its reverse (1100022122), we get a palindrome (222320023222).

The spelling of 221220001100 in words is "two hundred twenty-one billion, two hundred twenty million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 350 406 490 580 700 725 812 980 1015 1225 1421 1450 2030 2450 2842 2900 4060 4900 5075 5684 7105 10150 14210 20300 28420 35525 71050 142100 1556791 3113582 6227164 7783955 10897537 15567910 21795074 31135820 38919775 43590148 45146939 54487685 76282759 77839550 90293878 108975370 152565518 155679100 180587756 217950740 225734695 272438425 305131036 316028573 381413795 451469390 544876850 632057146 762827590 902938780 1089753700 1128673475 1264114292 1525655180 1580142865 1907068975 2212200011 2257346950 3160285730 3814137950 4424400022 4514693900 6320571460 7628275900 7900714325 8848800044 11061000055 15801428650 22122000110 31602857300 44244000220 55305000275 110610000550 221220001100