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212202012020020 = 225118091440782757
BaseRepresentation
bin110000001111111100100001…
…100011000000110100110100
31000211100022111001222001110021
4300033330201203000310310
5210303204210034120040
62031152131502134524
762461042451220601
oct6017744143006464
91024308431861407
10212202012020020
1161683405765810
121b972208581444
139153743a93109
143a588bc9cb6a8
15197ecdbdbd24a
hexc0ff218c0d34

212202012020020 has 96 divisors (see below), whose sum is σ = 486776094255360. Its totient is φ = 77062704983040.

The previous prime is 212202012019997. The next prime is 212202012020021. The reversal of 212202012020020 is 20020210202212.

It is a junction number, because it is equal to n+sod(n) for n = 212202012019976 and 212202012020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202012020021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564116482 + ... + 2564199238.

It is an arithmetic number, because the mean of its divisors is an integer number (5070584315160).

Almost surely, 2212202012020020 is an apocalyptic number.

212202012020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202012020020 is an abundant number, since it is smaller than the sum of its proper divisors (274574082235340).

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

212202012020020 is a wasteful number, since it uses less digits than its factorization.

212202012020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97993 (or 97991 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212202012020020 its reverse (20020210202212), we get a palindrome (232222222222232).

The spelling of 212202012020020 in words is "two hundred twelve trillion, two hundred two billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 809 1618 3236 4045 8090 8899 14407 16180 17798 28814 35596 44495 57628 72035 82757 88990 144070 158477 165514 177980 288140 316954 331028 413785 633908 792385 827570 910327 1584770 1655140 1820654 3169540 3641308 4551635 9103270 11655263 18206540 23310526 46621052 58276315 66950413 116552630 128207893 133900826 233105260 256415786 267801652 334752065 512831572 641039465 669504130 736454543 1192280099 1282078930 1339008260 1472909086 2384560198 2564157860 2945818172 3682272715 4769120396 5961400495 7364545430 11922800990 13115081089 14729090860 23845601980 26230162178 52460324356 65575405445 131150810890 262301621780 964554600091 1929109200182 3858218400364 4822773000455 9645546000910 10610100601001 19291092001820 21220201202002 42440402404004 53050503005005 106101006010010 212202012020020