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220300030311210 = 2325137127713991381
BaseRepresentation
bin110010000101110010011001…
…000011001111101100101010
31001220000110212220001120010200
4302011302121003033230222
5212333343430224424320
62100312234202253030
764255103056035003
oct6205623103175452
91056013786046120
10220300030311210
116421579999a973
122085b7564b7176
1395c0285755035
143c588150341aa
151a707990c0290
hexc85c990cfb2a

220300030311210 has 96 divisors (see below), whose sum is σ = 577412806241232. Its totient is φ = 58272194872320.

The previous prime is 220300030311199. The next prime is 220300030311211. The reversal of 220300030311210 is 12113030003022.

220300030311210 is a `hidden beast` number, since 2 + 2 + 0 + 300 + 0 + 30 + 311 + 21 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52427142754281 + 167872887556929 = 7240659^2 + 12956577^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220300030311211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8749720 + ... + 22741100.

Almost surely, 2220300030311210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220300030311210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288706403120616).

220300030311210 is an abundant number, since it is smaller than the sum of its proper divisors (357112775930022).

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

220300030311210 is a wasteful number, since it uses less digits than its factorization.

220300030311210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992808 (or 13992805 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 220300030311210 its reverse (12113030003022), we get a palindrome (232413060314232).

The spelling of 220300030311210 in words is "two hundred twenty trillion, three hundred billion, thirty million, three hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1277 1370 2055 2466 2554 3831 4110 6165 6385 7662 11493 12330 12770 19155 22986 38310 57465 114930 174949 349898 524847 874745 1049694 1574541 1749490 2624235 3149082 5248470 7872705 13991381 15745410 27982762 41974143 69956905 83948286 125922429 139913810 209870715 251844858 419741430 629612145 1259224290 1916819197 3833638394 5750457591 9584095985 11500915182 17251372773 17866993537 19168191970 28752287955 34502745546 35733987074 53600980611 57504575910 86256863865 89334967685 107201961222 160802941833 172513727730 178669935370 268004903055 321605883666 536009806110 804014709165 1608029418330 2447778114569 4895556229138 7343334343707 12238890572845 14686668687414 22030003031121 24477781145690 36716671718535 44060006062242 73433343437070 110150015155605 220300030311210