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20110220010210 = 235111011259479243
BaseRepresentation
bin1001001001010010001101…
…00001010010001011100010
32122012111222210212011022010
410210221012201102023202
510113441212310311320
6110434301343253350
74143625666450341
oct444510641221342
978174883764263
1020110220010210
116453772a18070
1223095b3baa256
13b2b502252ba5
144d74a8751b58
1524d1a643bae0
hex124a468522e2

20110220010210 has 128 divisors (see below), whose sum is σ = 53215867192320. Its totient is φ = 4823091488000.

The previous prime is 20110220010193. The next prime is 20110220010211. The reversal of 20110220010210 is 1201002201102.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20110220010211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41722849 + ... + 42202091.

It is an arithmetic number, because the mean of its divisors is an integer number (415748962440).

Almost surely, 220110220010210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110220010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26607933596160).

20110220010210 is an abundant number, since it is smaller than the sum of its proper divisors (33105647182110).

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

20110220010210 is a wasteful number, since it uses less digits than its factorization.

20110220010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480624.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20110220010210 its reverse (1201002201102), we get a palindrome (21311222211312).

The spelling of 20110220010210 in words is "twenty trillion, one hundred ten billion, two hundred twenty million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1259 1515 2222 2518 3030 3333 3777 5555 6295 6666 7554 11110 12590 13849 16665 18885 27698 33330 37770 41547 69245 83094 127159 138490 207735 254318 381477 415470 479243 635795 762954 958486 1271590 1398749 1437729 1907385 2396215 2797498 2875458 3814770 4196247 4792430 5271673 6993745 7188645 8392494 10543346 13987490 14377290 15815019 20981235 26358365 31630038 41962470 48403543 52716730 79075095 96807086 145210629 158150190 242017715 290421258 484035430 532438973 603366937 726053145 1064877946 1206733874 1452106290 1597316919 1810100811 2662194865 3016834685 3194633838 3620201622 5324389730 6033669370 6637036307 7986584595 9050504055 13274072614 15973169190 18101008110 19911108921 33185181535 39822217842 60940060637 66370363070 99555544605 121880121274 182820181911 199111089210 304700303185 365640363822 609400606370 670340667007 914100909555 1340681334014 1828201819110 2011022001021 3351703335035 4022044002042 6703406670070 10055110005105 20110220010210