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202112001100 = 225216011262411
BaseRepresentation
bin1011110000111011010…
…0000110010001001100
3201022200112101110100101
42330032310012101030
511302411133013400
6232503213340444
720413344443422
oct2741664062114
9638615343311
10202112001100
1178795a56959
1233206a97724
131609ca4c679
149ad47b3112
1553cdaac56a
hex2f0ed0644c

202112001100 has 36 divisors (see below), whose sum is σ = 438857333208. Its totient is φ = 80794240000.

The previous prime is 202112001089. The next prime is 202112001109. The reversal of 202112001100 is 1100211202.

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

It is not an unprimeable number, because it can be changed into a prime (202112001109) 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 11 ways as a sum of consecutive naturals, for example, 471106 + ... + 791305.

It is an arithmetic number, because the mean of its divisors is an integer number (12190481478).

Almost surely, 2202112001100 is an apocalyptic number.

202112001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112001100 is an abundant number, since it is smaller than the sum of its proper divisors (236745332108).

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

202112001100 is a wasteful number, since it uses less digits than its factorization.

202112001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264026 (or 1264019 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202112001100 its reverse (1100211202), we get a palindrome (203212212302).

The spelling of 202112001100 in words is "two hundred two billion, one hundred twelve million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1601 3202 6404 8005 16010 32020 40025 80050 160100 1262411 2524822 5049644 6312055 12624110 25248220 31560275 63120550 126241100 2021120011 4042240022 8084480044 10105600055 20211200110 40422400220 50528000275 101056000550 202112001100