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20202213420220 = 225132131208921841
BaseRepresentation
bin1001001011111101100011…
…10000010010110010111100
32122112022102222200120212211
410211332301300102302330
510121443113113421340
6110544434013310204
74153363452521026
oct445766160226274
978468388616784
1020202213420220
11648978a894647
1223233a8495364
13b370a3052b00
144dbb142b1016
1525078c7c85ea
hex125fb1c12cbc

20202213420220 has 144 divisors (see below), whose sum is σ = 46314075598560. Its totient is φ = 7398455500800.

The previous prime is 20202213420209. The next prime is 20202213420251. The reversal of 20202213420220 is 2202431220202.

It is a super-2 number, since 2×202022134202202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20202213420191 and 20202213420200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 924956500 + ... + 924978340.

It is an arithmetic number, because the mean of its divisors is an integer number (321625524990).

Almost surely, 220202213420220 is an apocalyptic number.

20202213420220 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 20202213420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23157037799280).

20202213420220 is an abundant number, since it is smaller than the sum of its proper divisors (26111862178340).

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

20202213420220 is a wasteful number, since it uses less digits than its factorization.

20202213420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24096 (or 24081 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 20202213420220 its reverse (2202431220202), we get a palindrome (22404644640422).

The spelling of 20202213420220 in words is "twenty trillion, two hundred two billion, two hundred thirteen million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 169 260 262 338 524 655 676 845 1310 1690 1703 2089 2620 3380 3406 4178 6812 8356 8515 10445 17030 20890 21841 22139 27157 34060 41780 43682 44278 54314 87364 88556 108628 109205 110695 135785 218410 221390 271570 273659 283933 353041 436820 442780 543140 547318 567866 706082 1094636 1135732 1368295 1412164 1419665 1765205 2736590 2839330 2861171 3530410 3557567 3691129 5473180 5678660 5722342 7060820 7115134 7382258 11444684 14230268 14305855 14764516 17787835 18455645 28611710 35575670 36911290 37195223 45625849 46248371 57223420 71151340 73822580 74390446 91251698 92496742 148780892 182503396 184993484 185976115 228129245 231241855 371952230 456258490 462483710 483537899 593136037 743904460 912516980 924967420 967075798 1186272074 1934151596 2372544148 2417689495 2965680185 4835378990 5931360370 5976986219 7710768481 9670757980 11862720740 11953972438 15421536962 23907944876 29884931095 30843073924 38553842405 59769862190 77107684810 77700820847 119539724380 154215369620 155401641694 310803283388 388504104235 777008208470 1010110671011 1554016416940 2020221342022 4040442684044 5050553355055 10101106710110 20202213420220