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11021220122202 = 23219233174419941
BaseRepresentation
bin1010000001100001001111…
…1010010000111001011010
31110000121200210001120120100
42200120103322100321122
52421032424322402302
635235024552240230
72215154052223653
oct240302372207132
943017623046510
1011021220122202
11356a089488894
12129bba03a0076
1361c3b181a094
142a160390852a
15141a495d7d1c
hexa0613e90e5a

11021220122202 has 96 divisors (see below), whose sum is σ = 26311737928320. Its totient is φ = 3318561671040.

The previous prime is 11021220122201. The next prime is 11021220122207. The reversal of 11021220122202 is 20222102212011.

It is a happy number.

11021220122202 is a `hidden beast` number, since 110 + 212 + 20 + 122 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11021220122201) by changing a digit.

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, 283552 + ... + 4703492.

It is an arithmetic number, because the mean of its divisors is an integer number (274080603420).

Almost surely, 211021220122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021220122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155868964160).

11021220122202 is an abundant number, since it is smaller than the sum of its proper divisors (15290517806118).

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

11021220122202 is a wasteful number, since it uses less digits than its factorization.

11021220122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420308 (or 4420305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11021220122202 its reverse (20222102212011), we get a palindrome (31243322334213).

It can be divided in two parts, 11021220122 and 202, that added together give a square (11021220324 = 1049822).

The spelling of 11021220122202 in words is "eleven trillion, twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 317 342 414 437 634 874 951 1311 1902 2622 2853 3933 5706 6023 7291 7866 12046 14582 18069 21873 36138 43746 54207 65619 108414 131238 138529 277058 415587 831174 1246761 2493522 4419941 8839882 13259823 26519646 39779469 79558938 83978879 101658643 167957758 203317286 251936637 304975929 503873274 609951858 755809911 914927787 1401121297 1511619822 1829855574 1931514217 2802242594 3863028434 4203363891 5794542651 8406727782 11589085302 12610091673 17383627953 25220183346 26621304643 32225789831 34767255906 53242609286 64451579662 79863913929 96677369493 159727827858 193354738986 239591741787 290032108479 479183483574 580064216958 612290006789 1224580013578 1836870020367 3673740040734 5510610061101 11021220122202