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21011112121220 = 225131931911332893
BaseRepresentation
bin1001100011100000001111…
…10111111101001110000100
32202101122100112022011202222
410301300013313331032010
510223221224200334340
6112404212135551512
74266000642161534
oct461600767751604
982348315264688
1021011112121220
116770843041091
122434116b2b598
13b954547a2920
14528d2c3dd4c4
15266831e378b5
hex131c07dfd384

21011112121220 has 96 divisors (see below), whose sum is σ = 50034068340480. Its totient is φ = 7347327229440.

The previous prime is 21011112121211. The next prime is 21011112121261. The reversal of 21011112121220 is 2212121111012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15097094 + ... + 16429986.

It is an arithmetic number, because the mean of its divisors is an integer number (521188211880).

Almost surely, 221011112121220 is an apocalyptic number.

21011112121220 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 21011112121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25017034170240).

21011112121220 is an abundant number, since it is smaller than the sum of its proper divisors (29022956219260).

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

21011112121220 is a wasteful number, since it uses less digits than its factorization.

21011112121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336125 (or 1336123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21011112121220 its reverse (2212121111012), we get a palindrome (23223233232232).

The spelling of 21011112121220 in words is "twenty-one trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 3191 4940 6382 12764 15955 31910 41483 60629 63820 82966 121258 165932 207415 242516 303145 414830 606290 788177 829660 1212580 1332893 1576354 2665786 3152708 3940885 5331572 6664465 7881770 13328930 15763540 17327609 25324967 26657860 34655218 50649934 69310436 86638045 101299868 126624835 173276090 253249670 329224571 346552180 506499340 658449142 1316898284 1646122855 3292245710 4253261563 6584491420 8506523126 17013046252 21266307815 42532615630 55292400319 80811969697 85065231260 110584800638 161623939394 221169601276 276462001595 323247878788 404059848485 552924003190 808119696970 1050555606061 1105848006380 1616239393940 2101111212122 4202222424244 5252778030305 10505556060610 21011112121220