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211021221200010 = 235132415710012399
BaseRepresentation
bin101111111110110000110100…
…111011100000000010001010
31000200011102122201201101121120
4233332300310323200002022
5210124332430111400020
62024445451041020110
762306531402651004
oct5776606473400212
91020142581641546
10211021221200010
1161268663067991
121b8013b0024636
1390992a6095700
143a176a572d374
15195e22d7db740
hexbfec34ee008a

211021221200010 has 96 divisors (see below), whose sum is σ = 548537424019200. Its totient is φ = 51931184557824.

The previous prime is 211021221200003. The next prime is 211021221200017. The reversal of 211021221200010 is 10002122120112.

211021221200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211021221200003) and next prime (211021221200017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211021221200017) 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, 16069791 + ... + 26082189.

It is an arithmetic number, because the mean of its divisors is an integer number (5713931500200).

Almost surely, 2211021221200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021221200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268712009600).

211021221200010 is an abundant number, since it is smaller than the sum of its proper divisors (337516202819190).

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

211021221200010 is a wasteful number, since it uses less digits than its factorization.

211021221200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016592 (or 10016579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211021221200010 its reverse (10002122120112), we get a palindrome (221023343320122).

The spelling of 211021221200010 in words is "two hundred eleven trillion, twenty-one billion, two hundred twenty-one million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 4157 5070 8314 12471 20785 24942 41570 54041 62355 108082 124710 162123 270205 324246 540410 702533 810615 1405066 1621230 2107599 3512665 4215198 7025330 10012399 10537995 20024798 21075990 30037197 50061995 60074394 100123990 130161187 150185985 260322374 300371970 390483561 650805935 780967122 1301611870 1692095431 1952417805 3384190862 3904835610 5076286293 8460477155 10152572586 16920954310 25381431465 41621542643 50762862930 83243085286 124864627929 208107713215 249729255858 416215426430 541080054359 624323139645 1082160108718 1248646279290 1623240163077 2705400271795 3246480326154 5410800543590 7034040706667 8116200815385 14068081413334 16232401630770 21102122120001 35170203533335 42204244240002 70340407066670 105510610600005 211021221200010