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2020012222120 = 23517137181119797
BaseRepresentation
bin11101011001010010000…
…111000110011010101000
321011010000010101001210221
4131121102013012122220
5231043441112101440
64143551504215424
7265640533404664
oct35312207063250
97133003331727
102020012222120
11709756268532
122875aa00a574
1311864262b119
146daaa6378a4
1537829d5ed4a
hex1d6521c66a8

2020012222120 has 128 divisors (see below), whose sum is σ = 4874331440160. Its totient is φ = 750747156480.

The previous prime is 2020012222091. The next prime is 2020012222127. The reversal of 2020012222120 is 212222100202.

It can be written as a sum of positive squares in 16 ways, for example, as 533919567204 + 1486092654916 = 730698^2 + 1219054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2020012222094 and 2020012222103.

It is not an unprimeable number, because it can be changed into a prime (2020012222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16802062 + ... + 16921858.

Almost surely, 22020012222120 is an apocalyptic number.

2020012222120 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 2020012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437165720080).

2020012222120 is an abundant number, since it is smaller than the sum of its proper divisors (2854319218040).

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

2020012222120 is a wasteful number, since it uses less digits than its factorization.

2020012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120143 (or 120139 counting only the distinct ones).

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

Adding to 2020012222120 its reverse (212222100202), we get a palindrome (2232234322322).

The spelling of 2020012222120 in words is "two trillion, twenty billion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 137 170 181 274 340 362 548 680 685 724 905 1096 1370 1448 1810 2329 2740 3077 3620 4658 5480 6154 7240 9316 11645 12308 15385 18632 23290 24616 24797 30770 46580 49594 61540 93160 99188 119797 123080 123985 198376 239594 247970 421549 479188 495940 598985 843098 958376 991880 1197970 1686196 2036549 2107745 2395940 3372392 4073098 4215490 4791880 8146196 8430980 10182745 16292392 16412189 16861960 20365490 21683257 32824378 40730980 43366514 65648756 81461960 82060945 86733028 108416285 131297512 164121890 173466056 216832570 279007213 328243780 368615369 433665140 558014426 656487560 737230738 867330280 1116028852 1395036065 1474461476 1843076845 2232057704 2790072130 2948922952 2970606209 3686153690 5580144260 5941212418 7372307380 11160288520 11882424836 14744614760 14853031045 23764849672 29706062090 50500305553 59412124180 101000611106 118824248360 202001222212 252501527765 404002444424 505003055530 1010006111060 2020012222120