Search a number
-
+
202110221020120 = 23572621501154959
BaseRepresentation
bin101101111101000101110011…
…111011011110101111011000
3222111121112210210202212111221
4231331011303323132233120
5202442333213040120440
61553504053113301424
760366660455115550
oct5575056373365730
9874545723685457
10202110221020120
11594425108439a6
121a802394104874
1388a0bb1a56c8a
1437ca288b8c160
15185753d771d4a
hexb7d173edebd8

202110221020120 has 128 divisors (see below), whose sum is σ = 520023500236800. Its totient is φ = 69253411161600.

The previous prime is 202110221020117. The next prime is 202110221020121. The reversal of 202110221020120 is 21020122011202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202110221020094 and 202110221020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202110221020121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677445201 + ... + 3677500159.

It is an arithmetic number, because the mean of its divisors is an integer number (4062683595600).

Almost surely, 2202110221020120 is an apocalyptic number.

202110221020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202110221020120 is an abundant number, since it is smaller than the sum of its proper divisors (317913279216680).

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

202110221020120 is a wasteful number, since it uses less digits than its factorization.

202110221020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62609 (or 62605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202110221020120 its reverse (21020122011202), we get a palindrome (223130343031322).

The spelling of 202110221020120 in words is "two hundred two trillion, one hundred ten billion, two hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2621 5011 5242 10022 10484 13105 18347 20044 20968 25055 26210 35077 36694 40088 50110 52420 54959 70154 73388 91735 100220 104840 109918 140308 146776 175385 183470 200440 219836 274795 280616 350770 366940 384713 439672 549590 701540 733880 769426 1099180 1403080 1538852 1923565 2198360 3077704 3847130 7694260 13133831 15388520 26267662 52535324 65669155 91936817 105070648 131338310 144047539 183873634 262676620 275399549 288095078 367747268 459684085 525353240 550799098 576190156 720237695 735494536 919368170 1008332773 1101598196 1152380312 1376997745 1440475390 1838736340 1927796843 2016665546 2203196392 2753995490 2880950780 3677472680 3855593686 4033331092 5041663865 5507990980 5761901560 7711187372 8066662184 9638984215 10083327730 11015981960 15422374744 19277968430 20166655460 38555936860 40333310920 77111873720 721822217929 1443644435858 2887288871716 3609111089645 5052755525503 5774577743432 7218222179290 10105511051006 14436444358580 20211022102012 25263777627515 28872888717160 40422044204024 50527555255030 101055110510060 202110221020120