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220221121210020 = 223257318154944567
BaseRepresentation
bin110010000100101000111001…
…101100111010011010100100
31001212201221012120122212222100
4302010220321230322122210
5212331100324012210040
62100212104134332100
764246310451532260
oct6204507154723244
91055657176585870
10220221121210020
1164195286852257
12208483b3aba030
1395b59bb635498
143c54a8b1090a0
151a6d6cb78ab30
hexc84a39b3a6a4

220221121210020 has 144 divisors (see below), whose sum is σ = 763673231962368. Its totient is φ = 50320431325440.

The previous prime is 220221121210001. The next prime is 220221121210061. The reversal of 220221121210020 is 20012121122022.

It is a happy number.

220221121210020 is a `hidden beast` number, since 2 + 202 + 211 + 21 + 210 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220221121209975 and 220221121210002.

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, 23464224 + ... + 31480343.

It is an arithmetic number, because the mean of its divisors is an integer number (5303286333072).

Almost surely, 2220221121210020 is an apocalyptic number.

220221121210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221121210020 is an abundant number, since it is smaller than the sum of its proper divisors (543452110752348).

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

220221121210020 is a wasteful number, since it uses less digits than its factorization.

220221121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54947770 (or 54947765 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220221121210020 its reverse (20012121122022), we get a palindrome (240233242332042).

The spelling of 220221121210020 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3181 6362 9543 12724 15905 19086 22267 28629 31810 38172 44534 47715 57258 63620 66801 89068 95430 111335 114516 133602 143145 190860 200403 222670 267204 286290 334005 400806 445340 572580 668010 801612 1002015 1336020 2004030 4008060 54944567 109889134 164833701 219778268 274722835 329667402 384611969 494501103 549445670 659334804 769223938 824168505 989002206 1098891340 1153835907 1538447876 1648337010 1923059845 1978004412 2307671814 2472505515 3296674020 3461507721 3846119690 4615343628 4945011030 5769179535 6923015442 7692239380 9890022060 11538359070 13846030884 17307538605 23076718140 34615077210 69230154420 174778667627 349557335254 524336002881 699114670508 873893338135 1048672005762 1223450673389 1573008008643 1747786676270 2097344011524 2446901346778 2621680014405 3146016017286 3495573352540 3670352020167 4893802693556 5243360028810 6117253366945 6292032034572 7340704040334 7865040043215 10486720057620 11011056060501 12234506733890 14681408080668 15730080086430 18351760100835 22022112121002 24469013467780 31460160172860 36703520201670 44044224242004 55055280302505 73407040403340 110110560605010 220221121210020