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20211110103212 = 22731509112940519
BaseRepresentation
bin1001001100001110001000…
…00010011100100010101100
32122120011102000100220121022
410212013010002130202230
510122114323141300322
6110552504504153312
74154130102213230
oct446070402344254
978504360326538
1020211110103212
116492535829216
12232506ba68838
13b37b9029a882
144dc319ab05c0
15250b0d897942
hex1261c409c8ac

20211110103212 has 96 divisors (see below), whose sum is σ = 41846203392000. Its totient is φ = 8358403115520.

The previous prime is 20211110103211. The next prime is 20211110103253. The reversal of 20211110103212 is 21230101111202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20211110103211) 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 31 ways as a sum of consecutive naturals, for example, 498785489 + ... + 498826007.

It is an arithmetic number, because the mean of its divisors is an integer number (435897952000).

Almost surely, 220211110103212 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 20211110103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20923101696000).

20211110103212 is an abundant number, since it is smaller than the sum of its proper divisors (21635093288788).

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

20211110103212 is a wasteful number, since it uses less digits than its factorization.

20211110103212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42199 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 20211110103212 its reverse (21230101111202), we get a palindrome (41441211214414).

The spelling of 20211110103212 in words is "twenty trillion, two hundred eleven billion, one hundred ten million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 509 868 1018 1129 2036 2258 3563 4516 7126 7903 14252 15779 15806 31558 31612 34999 40519 63116 69998 81038 110453 139996 162076 220906 244993 283633 441812 489986 567266 574661 979972 1134532 1149322 1256089 2298644 2512178 4022627 5024356 8045254 8792623 16090508 17585246 17814491 20624171 35170492 35628982 41248342 45745951 71257964 82496684 91491902 124701437 144369197 182983804 249402874 288738394 320221657 498805748 577476788 639349301 640443314 1278698602 1280886628 1418124481 2557397204 2836248962 4475445107 5672497924 8950890214 9926871367 17901780428 19853742734 23284689059 39707485468 46569378118 93138756236 162992823413 325985646826 651971293652 721825360829 1443650721658 2887301443316 5052777525803 10105555051606 20211110103212