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20210102212120 = 23529149869313451
BaseRepresentation
bin1001001100001100001111…
…11101101001011000011000
32122120001210202211201221121
410212012013331221120120
510122110242131241440
6110552220501415024
74154063113245232
oct446060775513030
978501722751847
1020210102212120
116492068905777
122324a2a40a474
13b37a5c529a02
144dc261cab252
15250aa015834a
hex126187f69618

20210102212120 has 128 divisors (see below), whose sum is σ = 47365433640000. Its totient is φ = 7751428249600.

The previous prime is 20210102212093. The next prime is 20210102212121. The reversal of 20210102212120 is 2121220101202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20210102212094 and 20210102212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210102212121) 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, 1502491395 + ... + 1502504845.

Almost surely, 220210102212120 is an apocalyptic number.

20210102212120 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 20210102212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682716820000).

20210102212120 is an abundant number, since it is smaller than the sum of its proper divisors (27155331427880).

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

20210102212120 is a wasteful number, since it uses less digits than its factorization.

20210102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22333 (or 22329 counting only the distinct ones).

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

Adding to 20210102212120 its reverse (2121220101202), we get a palindrome (22331322313322).

The spelling of 20210102212120 in words is "twenty trillion, two hundred ten billion, one hundred two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 149 232 290 298 580 596 745 1160 1192 1490 2980 4321 5960 8642 8693 13451 17284 17386 21605 26902 34568 34772 43210 43465 53804 67255 69544 86420 86930 107608 134510 172840 173860 252097 269020 347720 390079 504194 538040 780158 1008388 1260485 1295257 1560316 1950395 2004199 2016776 2520970 2590514 3120632 3900790 4008398 5041940 5181028 6476285 7801580 8016796 10020995 10083880 10362056 12952570 15603160 16033592 20041990 25905140 37562453 40083980 51810280 58121771 75124906 80167960 116243542 116929543 150249812 187812265 232487084 233859086 290608855 300499624 375624530 464974168 467718172 581217710 584647715 751249060 935436344 1162435420 1169295430 1502498120 2324870840 2338590860 3390956747 4677181720 6781913494 13563826988 16954783735 17422501907 27127653976 33909567470 34845003814 67819134940 69690007628 87112509535 135638269880 139380015256 174225019070 348450038140 505252555303 696900076280 1010505110606 2021010221212 2526262776515 4042020442424 5052525553030 10105051106060 20210102212120