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20212010022282 = 2313412702721937
BaseRepresentation
bin1001001100001111110011…
…01011010111010110001010
32122120020201201201112111020
410212013321223113112022
510122123144031203112
6110553134052413310
74154161310334051
oct446077153272612
978506651645436
1020212010022282
116492957805791
122325281317236
13b37ca4866470
144dc3a3409398
15250b628aa48c
hex1261f9ad758a

20212010022282 has 96 divisors (see below), whose sum is σ = 44629635938496. Its totient is φ = 6066255144960.

The previous prime is 20212010022247. The next prime is 20212010022283. The reversal of 20212010022282 is 28222001021202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20212010022283) 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, 921355218 + ... + 921377154.

It is an arithmetic number, because the mean of its divisors is an integer number (464892041026).

Almost surely, 220212010022282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212010022282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22314817969248).

20212010022282 is an abundant number, since it is smaller than the sum of its proper divisors (24417625916214).

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

20212010022282 is a wasteful number, since it uses less digits than its factorization.

20212010022282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29064 (or 29023 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 20212010022282 its reverse (28222001021202), we get a palindrome (48434011043484).

The spelling of 20212010022282 in words is "twenty trillion, two hundred twelve billion, ten million, twenty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 1681 3198 3362 5043 7027 10086 14054 21081 21853 21937 42162 43706 43874 65559 65811 91351 131118 131622 182702 274053 285181 288107 548106 570362 576214 855543 864321 899417 1711086 1728642 1798834 2698251 3745391 5396502 7490782 11236173 11692421 11812387 22472346 23384842 23624774 35077263 35437161 36876097 70154526 70874322 73752194 110628291 153561031 154151299 221256582 307122062 308302598 460683093 462453897 479389261 921366186 924907794 958778522 1438167783 2003966887 2876335566 4007933774 6011900661 6320203259 12023801322 12640406518 18960609777 37921219554 82162642367 164325284734 246487927101 259128333619 492975854202 518256667238 777385000857 1554770001714 3368668337047 6737336674094 10106005011141 20212010022282