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222113030100 = 2235213190129959
BaseRepresentation
bin1100111011011011110…
…1111101111111010100
3210020022102212000010020
43032312331331333110
512114341413430400
6250012021025140
722022111414343
oct3166675757724
9706272760106
10222113030100
118621a018a95
12370692551b0
1317c396c7780
14aa70c85b5a
155b9e97d2a0
hex33b6f7dfd4

222113030100 has 144 divisors (see below), whose sum is σ = 692468595840. Its totient is φ = 54643392000.

The previous prime is 222113030059. The next prime is 222113030123. The reversal of 222113030100 is 1030311222.

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 222113030100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7398921 + ... + 7428879.

Almost surely, 2222113030100 is an apocalyptic number.

222113030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222113030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346234297920).

222113030100 is an abundant number, since it is smaller than the sum of its proper divisors (470355565740).

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

222113030100 is a wasteful number, since it uses less digits than its factorization.

222113030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31890 (or 31883 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 222113030100 its reverse (1030311222), we get a palindrome (223143341322).

The spelling of 222113030100 in words is "two hundred twenty-two billion, one hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1901 1950 3802 3900 5703 7604 9505 11406 19010 22812 24713 28515 29959 38020 47525 49426 57030 59918 74139 89877 95050 98852 114060 119836 123565 142575 148278 149795 179754 190100 247130 285150 296556 299590 359508 370695 389467 449385 494260 570300 599180 617825 741390 748975 778934 898770 1168401 1235650 1482780 1497950 1557868 1797540 1853475 1947335 2246925 2336802 2471300 2995900 3706950 3894670 4493850 4673604 5842005 7413900 7789340 8987700 9736675 11684010 19473350 23368020 29210025 38946700 56952059 58420050 113904118 116840100 170856177 227808236 284760295 341712354 569520590 683424708 740376767 854280885 1139041180 1423801475 1480753534 1708561770 2221130301 2847602950 2961507068 3417123540 3701883835 4271404425 4442260602 5695205900 7403767670 8542808850 8884521204 11105651505 14807535340 17085617700 18509419175 22211303010 37018838350 44422606020 55528257525 74037676700 111056515050 222113030100