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12210201211110 = 23574711093111521
BaseRepresentation
bin1011000110101110100010…
…1101001011000011100110
31121020021122220202000011120
42301223220231023003212
53100022443002223420
641545142231314410
72400105111561540
oct261535055130346
947207586660146
1012210201211110
11398835429a991
12145250381ba06
136a75562b8846
14302d9683c690
15162936c4ad40
hexb1ae8b4b0e6

12210201211110 has 128 divisors (see below), whose sum is σ = 34206798680064. Its totient is φ = 2731251486720.

The previous prime is 12210201211027. The next prime is 12210201211129. The reversal of 12210201211110 is 1111210201221.

It is a happy number.

12210201211110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122102012111102 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12210201211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109432150 + ... + 109543670.

It is an arithmetic number, because the mean of its divisors is an integer number (267240614688).

Almost surely, 212210201211110 is an apocalyptic number.

12210201211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210201211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103399340032).

12210201211110 is an abundant number, since it is smaller than the sum of its proper divisors (21996597468954).

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

12210201211110 is a wasteful number, since it uses less digits than its factorization.

12210201211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122678.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12210201211110 its reverse (1111210201221), we get a palindrome (13321411412331).

The spelling of 12210201211110 in words is "twelve trillion, two hundred ten billion, two hundred one million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 9870 11093 22186 33279 55465 66558 77651 110930 111521 155302 166395 223042 232953 332790 334563 388255 465906 521371 557605 669126 776510 780647 1042742 1115210 1164765 1561294 1564113 1672815 2329530 2341941 2606855 3128226 3345630 3649597 3903235 4683882 5213710 5241487 7299194 7806470 7820565 10482974 10948791 11709705 15641130 15724461 18247985 21897582 23419410 26207435 31448922 36495970 36690409 52414870 54743955 73380818 78622305 109487910 110071227 157244610 183452045 220142454 366904090 550356135 1100712270 1237102453 2474204906 3711307359 6185512265 7422614718 8659717171 12371024530 17319434342 18556536795 25979151513 37113073590 43298585855 51958303026 58143815291 86597171710 116287630582 129895757565 174431445873 259791515130 290719076455 348862891746 407006707037 581438152910 814013414074 872157229365 1221020121111 1744314458730 2035033535185 2442040242222 4070067070370 6105100605555 12210201211110