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220220100211000 = 23532955713633387
BaseRepresentation
bin110010000100100111111100…
…110110000111000100111000
31001212201211120102110202121211
4302010213330312013010320
5212331041231123223000
62100211414543012504
764246243243301611
oct6204477466070470
91055654512422554
10220220100211000
116419490249660a
1220848169b9a134
1395b5887c55256
143c549d1692c08
151a6d66bd0c7ba
hexc849fcd87138

220220100211000 has 128 divisors (see below), whose sum is σ = 534041621380800. Its totient is φ = 84897821299200.

The previous prime is 220220100210977. The next prime is 220220100211019. The reversal of 220220100211000 is 112001022022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9336307 + ... + 22969693.

Almost surely, 2220220100211000 is an apocalyptic number.

220220100211000 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 220220100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267020810690400).

220220100211000 is an abundant number, since it is smaller than the sum of its proper divisors (313821521169800).

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

220220100211000 is a wasteful number, since it uses less digits than its factorization.

220220100211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633994 (or 13633980 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220220100211000 its reverse (112001022022), we get a palindrome (220332101233022).

The spelling of 220220100211000 in words is "two hundred twenty trillion, two hundred twenty billion, one hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 557 580 725 1000 1114 1160 1450 2228 2785 2900 3625 4456 5570 5800 7250 11140 13925 14500 16153 22280 27850 29000 32306 55700 64612 69625 80765 111400 129224 139250 161530 278500 323060 403825 557000 646120 807650 1615300 2019125 3230600 4038250 8076500 13633387 16153000 27266774 54533548 68166935 109067096 136333870 272667740 340834675 395368223 545335480 681669350 790736446 1363338700 1581472892 1704173375 1976841115 2726677400 3162945784 3408346750 3953682230 6816693500 7593796559 7907364460 9884205575 13633387000 15187593118 15814728920 19768411150 30375186236 37968982795 39536822300 49421027875 60750372472 75937965590 79073644600 98842055750 151875931180 189844913975 197684111500 220220100211 303751862360 379689827950 395368223000 440440200422 759379655900 880880400844 949224569875 1101100501055 1518759311800 1761760801688 1898449139750 2202201002110 3796898279500 4404402004220 5505502505275 7593796559000 8808804008440 11011005010550 22022010021100 27527512526375 44044020042200 55055025052750 110110050105500 220220100211000