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211021021200220 = 225711220276145519
BaseRepresentation
bin101111111110110000101001…
…000000100011111101011100
31000200011102010210101100110221
4233332300221000203331130
5210124332022411401340
62024445415134211124
762306523423664150
oct5776605100437534
91020142123340427
10211021021200220
1161268570185100
121b801355053aa4
13909927380b53a
143a17686d4b060
15195e21ae8244a
hexbfec29023f5c

211021021200220 has 144 divisors (see below), whose sum is σ = 556951663457280. Its totient is φ = 65740326791040.

The previous prime is 211021021200181. The next prime is 211021021200259. The reversal of 211021021200220 is 22002120120112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211021021200181) and next prime (211021021200259).

It is a junction number, because it is equal to n+sod(n) for n = 211021021200194 and 211021021200203.

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, 31264621 + ... + 37410139.

It is an arithmetic number, because the mean of its divisors is an integer number (3867719885120).

Almost surely, 2211021021200220 is an apocalyptic number.

211021021200220 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 211021021200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278475831728640).

211021021200220 is an abundant number, since it is smaller than the sum of its proper divisors (345930642257060).

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

211021021200220 is a wasteful number, since it uses less digits than its factorization.

211021021200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147584 (or 6147571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211021021200220 its reverse (22002120120112), we get a palindrome (233023141320332).

The spelling of 211021021200220 in words is "two hundred eleven trillion, twenty-one billion, twenty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2027 2420 3388 4054 4235 8108 8470 10135 14189 16940 20270 22297 28378 40540 44594 56756 70945 89188 111485 141890 156079 222970 245267 283780 312158 445940 490534 624316 780395 981068 1226335 1560790 1716869 2452670 3121580 3433738 4905340 6145519 6867476 8584345 12291038 17168690 24582076 30727595 34337380 43018633 61455190 67600709 86037266 122910380 135201418 172074532 215093165 270402836 338003545 430186330 473204963 676007090 743607799 860372660 946409926 1352014180 1487215598 1892819852 2366024815 2974431196 3718038995 4732049630 5205254593 7436077990 9464099260 10410509186 12456967013 14872155980 20821018372 24913934026 26026272965 49827868052 52052545930 62284835065 87198769091 104105091860 124569670130 137026637143 174397538182 249139340260 274053274286 348795076364 435993845455 548106548572 685133185715 871987690910 959186460001 1370266371430 1507293008573 1743975381820 1918372920002 2740532742860 3014586017146 3836745840004 4795932300005 6029172034292 7536465042865 9591864600010 10551051060011 15072930085730 19183729200020 21102102120022 30145860171460 42204204240044 52755255300055 105510510600110 211021021200220