Search a number
-
+
20020012222100 = 2252111031091621093
BaseRepresentation
bin1001000110101010001011…
…01101111000011010010100
32121212220011001222201110212
410203111011231320122110
510111001441112101400
6110325022221304552
74134253365061502
oct443250555703224
977786131881425
1020020012222100
116419491a84770
1222b4019705158
13b22b5737a787
144d2d8c005672
1524ab76c18335
hex123545b78694

20020012222100 has 144 divisors (see below), whose sum is σ = 48292001197440. Its totient is φ = 7143179788800.

The previous prime is 20020012222099. The next prime is 20020012222129. The reversal of 20020012222100 is 122221002002.

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, 11539154 + ... + 13160246.

Almost surely, 220020012222100 is an apocalyptic number.

20020012222100 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 20020012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146000598720).

20020012222100 is an abundant number, since it is smaller than the sum of its proper divisors (28271988975340).

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

20020012222100 is a wasteful number, since it uses less digits than its factorization.

20020012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621330 (or 1621323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20020012222100 its reverse (122221002002), we get a palindrome (20142233224102).

The spelling of 20020012222100 in words is "twenty trillion, twenty billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 109 110 206 218 220 275 412 436 515 545 550 1030 1090 1100 1133 1199 2060 2180 2266 2398 2575 2725 4532 4796 5150 5450 5665 5995 10300 10900 11227 11330 11990 22454 22660 23980 28325 29975 44908 56135 56650 59950 112270 113300 119900 123497 224540 246994 280675 493988 561350 617485 1122700 1234970 1621093 2469940 3087425 3242186 6174850 6484372 8105465 12349700 16210930 17832023 32421860 35664046 40527325 71328092 81054650 89160115 162109300 166972579 176699137 178320230 333945158 353398274 356640460 445800575 667890316 706796548 834862895 883495685 891601150 1669725790 1766991370 1783202300 1836698369 1943690507 3339451580 3533982740 3673396738 3887381014 4174314475 4417478425 7346793476 7774762028 8348628950 8834956850 9183491845 9718452535 16697257900 17669913700 18200011111 18366983690 19436905070 36400022222 36733967380 38873810140 45917459225 48592262675 72800044444 91000055555 91834918450 97184525350 182000111110 183669836900 194369050700 200200122221 364000222220 400400244442 455000277775 800800488884 910000555550 1001000611105 1820001111100 2002001222210 4004002444420 5005003055525 10010006111050 20020012222100