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212122012100 = 22524745132343
BaseRepresentation
bin1100010110001101110…
…1010000100111000100
3202021112010222200222112
43011203131100213010
511433411213341400
6241240354520152
721216403232105
oct3054335204704
9667463880875
10212122012100
1181a62389319
123513b296058
13170068336bb
14a3a3dc03ac
1557b7796835
hex31637509c4

212122012100 has 36 divisors (see below), whose sum is σ = 470098495104. Its totient is φ = 83043509280.

The previous prime is 212122012097. The next prime is 212122012139. The reversal of 212122012100 is 1210221212.

It is an unprimeable number.

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, 22561472 + ... + 22570871.

Almost surely, 2212122012100 is an apocalyptic number.

212122012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122012100 is an abundant number, since it is smaller than the sum of its proper divisors (257976483004).

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

212122012100 is a wasteful number, since it uses less digits than its factorization.

212122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45132404 (or 45132397 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212122012100 its reverse (1210221212), we get a palindrome (213332233312).

The spelling of 212122012100 in words is "two hundred twelve billion, one hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 45132343 90264686 180529372 225661715 451323430 902646860 1128308575 2121220121 2256617150 4242440242 4513234300 8484880484 10606100605 21212201210 42424402420 53030503025 106061006050 212122012100