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202112210100 = 223524116431887
BaseRepresentation
bin1011110000111011010…
…0111001010010110100
3201022200112210002001010
42330032310321102310
511302411211210400
6232503222032220
720413346303643
oct2741664712264
9638615702033
10202112210100
1178796089989
1233206b78670
131609cac3838
149ad482935a
1553cdaee450
hex2f0ed394b4

202112210100 has 72 divisors (see below), whose sum is σ = 599040908928. Its totient is φ = 52582035200.

The previous prime is 202112210087. The next prime is 202112210107. The reversal of 202112210100 is 1012211202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112210107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8203644 + ... + 8228243.

It is an arithmetic number, because the mean of its divisors is an integer number (8320012624).

Almost surely, 2202112210100 is an apocalyptic number.

202112210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112210100 is an abundant number, since it is smaller than the sum of its proper divisors (396928698828).

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

202112210100 is a wasteful number, since it uses less digits than its factorization.

202112210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16431945 (or 16431938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202112210100 its reverse (1012211202), we get a palindrome (203124421302).

The spelling of 202112210100 in words is "two hundred two billion, one hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 16431887 32863774 49295661 65727548 82159435 98591322 164318870 197182644 246478305 328637740 410797175 492956610 673707367 821594350 985913220 1232391525 1347414734 1643188700 2021122101 2464783050 2694829468 3368536835 4042244202 4929566100 6737073670 8084488404 10105610505 13474147340 16842684175 20211221010 33685368350 40422442020 50528052525 67370736700 101056105050 202112210100