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202011210012020 = 2254113731139315749
BaseRepresentation
bin101101111011101001100110…
…011010011101010101110100
3222111021002020120002112002212
4231323221212122131111310
5202434222424230341040
61553350400235552552
760356554050332423
oct5573514632352564
9874232216075085
10202011210012020
11594045226a3082
121a7a71615bb758
1388947630cc056
1437c55752112ba
151854b96291d65
hexb7ba6669d574

202011210012020 has 96 divisors (see below), whose sum is σ = 434952755748000. Its totient is φ = 78764309872640.

The previous prime is 202011210011977. The next prime is 202011210012023. The reversal of 202011210012020 is 20210012110202.

It can be written as a sum of positive squares in 16 ways, for example, as 64237467869584 + 137773742142436 = 8014828^2 + 11737706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202011210011986 and 202011210012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011210012023) 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, 12826915106 + ... + 12826930854.

It is an arithmetic number, because the mean of its divisors is an integer number (4530757872375).

Almost surely, 2202011210012020 is an apocalyptic number.

202011210012020 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 202011210012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217476377874000).

202011210012020 is an abundant number, since it is smaller than the sum of its proper divisors (232941545735980).

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

202011210012020 is a wasteful number, since it uses less digits than its factorization.

202011210012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28565 (or 28563 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202011210012020 its reverse (20210012110202), we get a palindrome (222221222122222).

The spelling of 202011210012020 in words is "two hundred two trillion, eleven billion, two hundred ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1373 2746 5492 6865 11393 13730 15749 22786 27460 31498 45572 56293 56965 62996 78745 112586 113930 157490 225172 227860 281465 314980 467113 562930 645709 934226 1125860 1291418 1868452 2335565 2582836 3228545 4671130 6457090 9342260 12914180 15642589 21623377 31285178 43246754 62570356 78212945 86493508 108116885 156425890 179428357 216233770 312851780 358856714 432467540 641346149 717713428 886558457 897141785 1282692298 1773116914 1794283570 2565384596 3206730745 3546233828 3588567140 4432792285 6413461490 7356562637 8865584570 12826922980 14713125274 17731169140 29426250548 36782813185 73565626370 147131252740 246355134161 492710268322 985420536644 1231775670805 2463551341610 4927102683220 10100560500601 20201121001202 40402242002404 50502802503005 101005605006010 202011210012020