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212111222100 = 22352707037407
BaseRepresentation
bin1100010110001011010…
…0000110010101010100
3202021111101200111212220
43011202310012111110
511433400433101400
6241235331342340
721216212432301
oct3054264062524
9667441614786
10212111222100
1181a57289668
12351377519b0
131700452639b
14a3a27b20a8
1557b68647a0
hex3162d06554

212111222100 has 36 divisors (see below), whose sum is σ = 613708470144. Its totient is φ = 56562992480.

The previous prime is 212111222077. The next prime is 212111222111. The reversal of 212111222100 is 1222111212.

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 212111222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353518404 + ... + 353519003.

It is an arithmetic number, because the mean of its divisors is an integer number (17047457504).

Almost surely, 2212111222100 is an apocalyptic number.

212111222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111222100 is an abundant number, since it is smaller than the sum of its proper divisors (401597248044).

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

212111222100 is a wasteful number, since it uses less digits than its factorization.

212111222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707037424 (or 707037417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212111222100 its reverse (1222111212), we get a palindrome (213333333312).

The spelling of 212111222100 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 707037407 1414074814 2121112221 2828149628 3535187035 4242224442 7070374070 8484448884 10605561105 14140748140 17675935175 21211122210 35351870350 42422244420 53027805525 70703740700 106055611050 212111222100