Search a number
-
+
20212122212220 = 2235595869972847
BaseRepresentation
bin1001001100010000000000…
…10111010101011101111100
32122120021000112211101011010
410212020000113111131330
510122123411241242340
6110553153141155220
74154164142046321
oct446100027253574
978507015741133
1020212122212220
116492a05072744
1223252b29bbb10
13b37cc1b87543
144dc3b4290b48
15250b6c66bb80
hex1262005d577c

20212122212220 has 96 divisors (see below), whose sum is σ = 57563027020800. Its totient is φ = 5297636784384.

The previous prime is 20212122212201. The next prime is 20212122212281. The reversal of 20212122212220 is 2221222121202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20289837 + ... + 21262683.

It is an arithmetic number, because the mean of its divisors is an integer number (599614864800).

Almost surely, 220212122212220 is an apocalyptic number.

20212122212220 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 20212122212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28781513510400).

20212122212220 is an abundant number, since it is smaller than the sum of its proper divisors (37350904808580).

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

20212122212220 is a wasteful number, since it uses less digits than its factorization.

20212122212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978787 (or 978785 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20212122212220 its reverse (2221222121202), we get a palindrome (22433344333422).

The spelling of 20212122212220 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 5869 11738 17607 23476 29345 35214 58690 70428 88035 117380 176070 346271 352140 692542 972847 1038813 1385084 1731355 1945694 2077626 2918541 3462710 3891388 4155252 4864235 5194065 5837082 6925420 9728470 10388130 11674164 14592705 19456940 20776260 29185410 57397973 58370820 114795946 172193919 229591892 286989865 344387838 573979730 688775676 860969595 1147959460 1721939190 3443878380 5709639043 11419278086 17128917129 22838556172 28548195215 34257834258 57096390430 68515668516 85644585645 114192780860 171289171290 336868703537 342578342580 673737407074 1010606110611 1347474814148 1684343517685 2021212221222 3368687035370 4042424442444 5053030553055 6737374070740 10106061106110 20212122212220