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20101010020 = 22571353208387
BaseRepresentation
bin10010101110000111…
…010001001001100100
31220212212121002221121
4102232013101021210
5312131324310040
613122334223324
71311056523520
oct225607211144
956785532847
1020101010020
118585550383
123a8b954b44
131b845b3090
14d8989ad80
157c9a6ec4a
hex4ae1d1264

20101010020 has 96 divisors (see below), whose sum is σ = 52933886208. Its totient is φ = 6241577472.

The previous prime is 20101010003. The next prime is 20101010021. The reversal of 20101010020 is 2001010102.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 20101009985 and 20101010012.

It is not an unprimeable number, because it can be changed into a prime (20101010021) 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, 7734 + ... + 200653.

It is an arithmetic number, because the mean of its divisors is an integer number (551394648).

Almost surely, 220101010020 is an apocalyptic number.

20101010020 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 20101010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26466943104).

20101010020 is an abundant number, since it is smaller than the sum of its proper divisors (32832876188).

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

20101010020 is a wasteful number, since it uses less digits than its factorization.

20101010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208469 (or 208467 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20101010020 its reverse (2001010102), we get a palindrome (22102020122).

The spelling of 20101010020 in words is "twenty billion, one hundred one million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 455 530 689 742 910 1060 1378 1484 1820 1855 2756 3445 3710 4823 6890 7420 9646 13780 19292 24115 48230 96460 208387 416774 833548 1041935 1458709 2083870 2709031 2917418 4167740 5418062 5834836 7293545 10836124 11044511 13545155 14587090 18963217 22089022 27090310 29174180 37926434 44178044 54180620 55222555 75852868 77311577 94816085 110445110 143578643 154623154 189632170 220890220 287157286 309246308 379264340 386557885 574314572 717893215 773115770 1005050501 1435786430 1546231540 2010101002 2871572860 4020202004 5025252505 10050505010 20101010020