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212032211100 = 223523719102001
BaseRepresentation
bin1100010101111000011…
…0101100100010011100
3202021021220000100011120
43011132012230202130
511433220221223400
6241223430050540
721214233025443
oct3053606544234
9667256010146
10212032211100
1181a16723516
12351151a9a50
1316cc1051208
14a3960c5d5a
1557ae958ca0
hex315e1ac89c

212032211100 has 72 divisors (see below), whose sum is σ = 630060433968. Its totient is φ = 55013760000.

The previous prime is 212032211059. The next prime is 212032211113. The reversal of 212032211100 is 1112230212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212032211100.

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, 9539901 + ... + 9562100.

Almost surely, 2212032211100 is an apocalyptic number.

212032211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212032211100 is an abundant number, since it is smaller than the sum of its proper divisors (418028222868).

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

212032211100 is a wasteful number, since it uses less digits than its factorization.

212032211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19102055 (or 19102048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212032211100 its reverse (1112230212), we get a palindrome (213144441312).

The spelling of 212032211100 in words is "two hundred twelve billion, thirty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 19102001 38204002 57306003 76408004 95510005 114612006 191020010 229224012 286530015 382040020 477550025 573060030 706774037 955100050 1146120060 1413548074 1432650075 1910200100 2120322111 2827096148 2865300150 3533870185 4240644222 5730600300 7067740370 8481288444 10601610555 14135480740 17669350925 21203221110 35338701850 42406442220 53008052775 70677403700 106016105550 212032211100