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11220120000102 = 23133173167380629
BaseRepresentation
bin1010001101000110001101…
…0001000101011001100110
31110201122002110021021020210
42203101203101011121212
52432312301210000402
635510241343040250
72235425014255626
oct243214321053146
943648073237223
1011220120000102
113636476260a72
12131264b5a0086
1363508bc44b20
142ab0b1858886
15146cdb1a006c
hexa3463445666

11220120000102 has 128 divisors (see below), whose sum is σ = 25439189852160. Its totient is φ = 3275471416320.

The previous prime is 11220120000091. The next prime is 11220120000107. The reversal of 11220120000102 is 20100002102211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220120000107) 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 63 ways as a sum of consecutive naturals, for example, 29287524 + ... + 29668152.

It is an arithmetic number, because the mean of its divisors is an integer number (198743670720).

Almost surely, 211220120000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220120000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719594926080).

11220120000102 is an abundant number, since it is smaller than the sum of its proper divisors (14219069852058).

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

11220120000102 is a wasteful number, since it uses less digits than its factorization.

11220120000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380918.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220120000102 its reverse (20100002102211), we get a palindrome (31320122102313).

The spelling of 11220120000102 in words is "eleven trillion, two hundred twenty billion, one hundred twenty million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 31 39 62 73 78 93 146 167 186 219 334 403 438 501 806 949 1002 1209 1898 2171 2263 2418 2847 4342 4526 5177 5694 6513 6789 10354 12191 13026 13578 15531 24382 29419 31062 36573 58838 67301 73146 88257 134602 158483 176514 201903 316966 377921 380629 403806 475449 755842 761258 950898 1133763 1141887 2267526 2283774 4912973 4948177 9825946 9896354 11799499 14738919 14844531 23598998 27785917 29477838 29689062 35398497 55571834 63565043 70796994 83357751 127130086 153393487 166715502 190695129 306786974 361216921 381390258 460180461 722433842 826345559 861363427 920360922 1083650763 1652691118 1722726854 1970516333 2167301526 2479036677 2584090281 3941032666 4640248139 4958073354 5168180562 5911548999 9280496278 11197724551 11823097998 13920744417 22395449102 25616712329 27841488834 33593173653 51233424658 60323225807 67186347306 76850136987 120646451614 143847692309 153700273974 180969677421 287695384618 361939354842 431543076927 863086153854 1870020000017 3740040000034 5610060000051 11220120000102