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20202121212 = 22372133771429
BaseRepresentation
bin10010110100001000…
…111110011111111100
31221010220212002102120
4102310020332133330
5312333220334322
613140345322540
71313425124400
oct226410763774
957126762376
1020202121212
118627630749
123ab9796450
131b9c5255a0
14d9909b100
157d3893a5c
hex4b423e7fc

20202121212 has 144 divisors (see below), whose sum is σ = 60649212960. Its totient is φ = 5183958528.

The previous prime is 20202121169. The next prime is 20202121217. The reversal of 20202121212 is 21212120202.

It is a junction number, because it is equal to n+sod(n) for n = 20202121191 and 20202121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202121217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247114 + ... + 318542.

It is an arithmetic number, because the mean of its divisors is an integer number (421175090).

Almost surely, 220202121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20202121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30324606480).

20202121212 is an abundant number, since it is smaller than the sum of its proper divisors (40447091748).

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

20202121212 is a wasteful number, since it uses less digits than its factorization.

20202121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71500 (or 71491 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20202121212 its reverse (21212120202), we get a palindrome (41414241414).

The spelling of 20202121212 in words is "twenty billion, two hundred two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 49 52 74 78 84 91 98 111 147 148 156 182 196 222 259 273 294 364 444 481 518 546 588 637 777 962 1036 1092 1274 1443 1554 1813 1911 1924 2548 2886 3108 3367 3626 3822 5439 5772 6734 7252 7644 10101 10878 13468 20202 21756 23569 40404 47138 70707 71429 94276 141414 142858 214287 282828 285716 428574 500003 857148 928577 1000006 1500009 1857154 2000012 2642873 2785731 3000018 3500021 3714308 5285746 5571462 6000036 6500039 7000042 7928619 10500063 10571492 11142924 13000078 14000084 15857238 18500111 19500117 21000126 26000156 31714476 34357349 37000222 39000234 42000252 45500273 55500333 68714698 74000444 78000468 91000546 103072047 111000666 129500777 136500819 137429396 182001092 206144094 222001332 240501443 259001554 273001638 388502331 412288188 481002886 518003108 546003276 721504329 777004662 962005772 1443008658 1554009324 1683510101 2886017316 3367020202 5050530303 6734040404 10101060606 20202121212