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221031301100 = 225219786313001
BaseRepresentation
bin1100110111011001111…
…1011111111111101100
3210010112001101110220012
43031312133133333230
512110133003113400
6245312415512352
721653235026441
oct3156637377754
9703461343805
10221031301100
1185814452a85
1236a06b286b8
1317ac657323c
14a9ab3419c8
155b39a05d35
hex33767dffec

221031301100 has 72 divisors (see below), whose sum is σ = 482668357248. Its totient is φ = 87855040000.

The previous prime is 221031301093. The next prime is 221031301129. The reversal of 221031301100 is 1103130122.

It is a super-2 number, since 2×2210313011002 (a number of 23 digits) contains 22 as substring.

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, 16994600 + ... + 17007600.

It is an arithmetic number, because the mean of its divisors is an integer number (6703727184).

Almost surely, 2221031301100 is an apocalyptic number.

221031301100 is a gapful number since it is divisible by the number (20) 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 221031301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241334178624).

221031301100 is an abundant number, since it is smaller than the sum of its proper divisors (261637056148).

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

221031301100 is a wasteful number, since it uses less digits than its factorization.

221031301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 221031301100 its reverse (1103130122), we get a palindrome (222134431222).

The spelling of 221031301100 in words is "two hundred twenty-one billion, thirty-one million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 863 985 1726 1970 3452 3940 4315 4925 8630 9850 13001 17260 19700 21575 26002 43150 52004 65005 86300 130010 170011 260020 325025 340022 650050 680044 850055 1300100 1700110 2561197 3400220 4250275 5122394 8500550 10244788 11219863 12805985 17001100 22439726 25611970 44879452 51223940 56099315 64029925 112198630 128059850 224397260 256119700 280496575 560993150 1121986300 2210313011 4420626022 8841252044 11051565055 22103130110 44206260220 55257825275 110515650550 221031301100