Search a number
-
+
21122020001020 = 22573193227330217
BaseRepresentation
bin1001100110101110110100…
…11111111100010011111100
32202210020121220001020002211
410303113122133330103330
510232030344110013040
6112531153320430204
74310005226460061
oct463273237742374
982706556036084
1021122020001020
116803886705784
122451709918364
13ba2a4b0c49c3
1453044ddd0c68
15269673ab68ea
hex1335da7fc4fc

21122020001020 has 96 divisors (see below), whose sum is σ = 45396077606208. Its totient is φ = 8253350019072.

The previous prime is 21122020001011. The next prime is 21122020001057. The reversal of 21122020001020 is 2010002022112.

It is a happy number.

It is a super-2 number, since 2×211220200010202 (a number of 27 digits) contains 22 as substring.

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, 63798952 + ... + 64129168.

It is an arithmetic number, because the mean of its divisors is an integer number (472875808398).

Almost surely, 221122020001020 is an apocalyptic number.

21122020001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122020001020 is an abundant number, since it is smaller than the sum of its proper divisors (24274057605188).

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

21122020001020 is a wasteful number, since it uses less digits than its factorization.

21122020001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330719 (or 330717 counting only the distinct ones).

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

Adding to 21122020001020 its reverse (2010002022112), we get a palindrome (23132022023132).

The spelling of 21122020001020 in words is "twenty-one trillion, one hundred twenty-two billion, twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 193 227 292 365 386 454 730 772 908 965 1135 1460 1930 2270 3860 4540 14089 16571 28178 33142 43811 56356 66284 70445 82855 87622 140890 165710 175244 219055 281780 330217 331420 438110 660434 876220 1320868 1651085 3198203 3302170 6396406 6604340 12792812 15991015 24105841 31982030 48211682 63731881 63964060 74959259 96423364 120529205 127463762 149918518 241058410 254927524 299837036 318659405 374796295 482116820 637318810 749592590 1274637620 1499185180 4652427313 5472025907 9304854626 10944051814 14467136987 18609709252 21888103628 23262136565 27360129535 28934273974 46524273130 54720259070 57868547948 72335684935 93048546260 109440518140 144671369870 289342739740 1056101000051 2112202000102 4224404000204 5280505000255 10561010000510 21122020001020