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21211112012020 = 22572101983218003
BaseRepresentation
bin1001101001010100110001…
…10010111111100011110100
32210002202120212101022110221
410310222120302333203310
510240010324133341040
6113040130023424124
74316311062202300
oct464523062774364
983082525338427
1021211112012020
116838644838237
122466a325b5044
13bab278a84188
145348a2492d00
1526bb3a38974a
hex134a98cbf8f4

21211112012020 has 144 divisors (see below), whose sum is σ = 52382217379968. Its totient is φ = 7193019590400.

The previous prime is 21211112012009. The next prime is 21211112012107. The reversal of 21211112012020 is 2021021111212.

It is a super-2 number, since 2×212111120120202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211112011985 and 21211112012003.

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, 97188339 + ... + 97406341.

It is an arithmetic number, because the mean of its divisors is an integer number (363765398472).

Almost surely, 221211112012020 is an apocalyptic number.

21211112012020 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 21211112012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191108689984).

21211112012020 is an abundant number, since it is smaller than the sum of its proper divisors (31171105367948).

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

21211112012020 is a wasteful number, since it uses less digits than its factorization.

21211112012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219110 (or 219101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21211112012020 its reverse (2021021111212), we get a palindrome (23232133123232).

The spelling of 21211112012020 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 707 980 983 1010 1414 1966 2020 2828 3535 3932 4915 4949 6881 7070 9830 9898 13762 14140 19660 19796 24745 27524 34405 48167 49490 68810 96334 98980 99283 137620 192668 198566 218003 240835 397132 436006 481670 496415 694981 872012 963340 992830 1090015 1389962 1526021 1985660 2180030 2779924 3052042 3474905 4360060 4864867 6104084 6949810 7630105 9729734 10682147 13899620 15260210 19459468 21364294 22018303 24324335 30520420 42728588 44036606 48648670 53410735 88073212 97297340 106821470 110091515 154128121 213642940 214296949 220183030 308256242 428593898 440366060 616512484 770640605 857187796 1071484745 1078896847 1500078643 1541281210 2142969490 2157793694 3000157286 3082562420 4285938980 4315587388 5394484235 6000314572 7500393215 10500550501 10788968470 15000786430 21001101002 21577936940 21643991849 30001572860 42002202004 43287983698 52502752505 86575967396 105005505010 108219959245 151507942943 210011010020 216439918490 303015885886 432879836980 606031771772 757539714715 1060555600601 1515079429430 2121111201202 3030158858860 4242222402404 5302778003005 10605556006010 21211112012020