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212100330 = 235131731991
BaseRepresentation
bin11001010010001…
…10010011101010
3112210002210221210
430221012103222
5413244202310
633014013550
75153552211
oct1451062352
9483083853
10212100330
11a97a8132
125b0472b6
1334c32b70
1420252078
1513949820
hexca464ea

212100330 has 64 divisors (see below), whose sum is σ = 580462848. Its totient is φ = 49136640.

The previous prime is 212100307. The next prime is 212100337. The reversal of 212100330 is 33001212.

It is a happy number.

It is a super-2 number, since 2×2121003302 = 89973099972217800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212100337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9366 + ... + 22625.

It is an arithmetic number, because the mean of its divisors is an integer number (9069732).

Almost surely, 2212100330 is an apocalyptic number.

212100330 is an abundant number, since it is smaller than the sum of its proper divisors (368362518).

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

212100330 is a wasteful number, since it uses less digits than its factorization.

212100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32031.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 212100330 is about 14563.6647173711. The cubic root of 212100330 is about 596.3672439738.

Adding to 212100330 its reverse (33001212), we get a palindrome (245101542).

The spelling of 212100330 in words is "two hundred twelve million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 31991 63982 95973 159955 191946 319910 415883 479865 543847 831766 959730 1087694 1247649 1631541 2079415 2495298 2719235 3263082 4158830 5438470 6238245 7070011 8157705 12476490 14140022 16315410 21210033 35350055 42420066 70700110 106050165 212100330