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212222000100 = 223521164309697
BaseRepresentation
bin1100010110100101101…
…0101011101111100100
3202021210010010121201210
43011221122223233210
511434112313000400
6241254325551420
721222026144235
oct3055132535744
9667703117653
10212222000100
1182003871830
1235168875570
13170214718b6
14a3b33ab08c
1557c1447950
hex31696abbe4

212222000100 has 72 divisors (see below), whose sum is σ = 669849814368. Its totient is φ = 51447756800.

The previous prime is 212222000057. The next prime is 212222000129. The reversal of 212222000100 is 1000222212.

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

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, 32151549 + ... + 32158148.

It is an arithmetic number, because the mean of its divisors is an integer number (9303469644).

Almost surely, 2212222000100 is an apocalyptic number.

212222000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222000100 is an abundant number, since it is smaller than the sum of its proper divisors (457627814268).

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

212222000100 is a wasteful number, since it uses less digits than its factorization.

212222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64309725 (or 64309718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212222000100 its reverse (1000222212), we get a palindrome (213222222312).

The spelling of 212222000100 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 64309697 128619394 192929091 257238788 321548485 385858182 643096970 707406667 771716364 964645455 1286193940 1414813334 1607742425 1929290910 2122220001 2829626668 3215484850 3537033335 3858581820 4244440002 4823227275 6430969700 7074066670 8488880004 9646454550 10611100005 14148133340 17685166675 19292909100 21222200010 35370333350 42444400020 53055500025 70740666700 106111000050 212222000100