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11202210112110 = 235232839841327
BaseRepresentation
bin1010001100000011011111…
…0000010010001001101110
31110122220212021122200122220
42203000313300102021232
52432014111242041420
635454120240020210
72234222131604013
oct243006760221156
943586767580586
1011202210112110
113629915627046
12130b091601666
136334965a5474
142aa292da770a
151465ddb96840
hexa3037c1226e

11202210112110 has 96 divisors (see below), whose sum is σ = 28138585144320. Its totient is φ = 2853966249024.

The previous prime is 11202210112097. The next prime is 11202210112189. The reversal of 11202210112110 is 1121101220211.

It is a happy number.

It is a super-2 number, since 2×112022101121102 (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 11202210112110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12894267 + ... + 13735593.

It is an arithmetic number, because the mean of its divisors is an integer number (293110261920).

Almost surely, 211202210112110 is an apocalyptic number.

11202210112110 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 11202210112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069292572160).

11202210112110 is an abundant number, since it is smaller than the sum of its proper divisors (16936375032210).

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

11202210112110 is a wasteful number, since it uses less digits than its factorization.

11202210112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842222 (or 842199 counting only the distinct ones).

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

Adding to 11202210112110 its reverse (1121101220211), we get a palindrome (12323311332321).

The spelling of 11202210112110 in words is "eleven trillion, two hundred two billion, two hundred ten million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 839 1058 1587 1678 2517 2645 3174 4195 5034 5290 7935 8390 12585 15870 19297 25170 38594 57891 96485 115782 192970 289455 443831 578910 841327 887662 1331493 1682654 2219155 2523981 2662986 4206635 4438310 5047962 6657465 8413270 12619905 13314930 19350521 25239810 38701042 58051563 96752605 116103126 193505210 290257815 445061983 580515630 705873353 890123966 1335185949 1411746706 2117620059 2225309915 2670371898 3529366765 4235240118 4450619830 6675929745 7058733530 10588100295 13351859490 16235087119 21176200590 32470174238 48705261357 81175435595 97410522714 162350871190 243526306785 373407003737 487052613570 746814007474 1120221011211 1867035018685 2240442022422 3734070037370 5601105056055 11202210112110