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11220123211002 = 2341747611421039
BaseRepresentation
bin1010001101000110001101…
…1101010101010011111010
31110201122002200022101210000
42203101203131111103322
52432312303020223002
635510241535533430
72235425053461066
oct243214335252372
943648080271700
1011220123211002
113636478054402
12131265068a276
1363508c7ca474
142ab0b2052aa6
15146cdb5d661c
hexa34637554fa

11220123211002 has 160 divisors (see below), whose sum is σ = 27632384271360. Its totient is φ = 3388664056320.

The previous prime is 11220123210949. The next prime is 11220123211081. The reversal of 11220123211002 is 20011232102211.

11220123211002 is a `hidden beast` number, since 11 + 220 + 12 + 321 + 100 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7185199 + ... + 8606237.

It is an arithmetic number, because the mean of its divisors is an integer number (172702401696).

Almost surely, 211220123211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220123211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13816192135680).

11220123211002 is an abundant number, since it is smaller than the sum of its proper divisors (16412261060358).

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

11220123211002 is a wasteful number, since it uses less digits than its factorization.

11220123211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421178 (or 1421169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11220123211002 its reverse (20011232102211), we get a palindrome (31231355313213).

The spelling of 11220123211002 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-three million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 61 81 94 102 122 141 153 162 183 282 306 366 423 459 549 799 846 918 1037 1098 1269 1377 1598 1647 2074 2397 2538 2754 2867 3111 3294 3807 4794 4941 5734 6222 7191 7614 8601 9333 9882 14382 17202 18666 21573 25803 27999 43146 48739 51606 55998 64719 77409 83997 97478 129438 146217 154818 167994 232227 292434 438651 464454 877302 1315953 1421039 2631906 2842078 3947859 4263117 7895718 8526234 12789351 24157663 25578702 38368053 48315326 66788833 72472989 76736106 86683379 115104159 133577666 144945978 173366758 200366499 217418967 230208318 260050137 400732998 434837934 520100274 601099497 652256901 780150411 1135410161 1202198994 1304513802 1473617443 1560300822 1803298491 1956770703 2270820322 2340451233 2947234886 3406230483 3606596982 3913541406 4074118813 4420852329 4680902466 5409895473 6812460966 7021353699 8148237626 8841704658 10218691449 10819790946 12222356439 13262556987 14042707398 20437382898 24444712878 26525113974 30656074347 36667069317 39787670961 61312148694 69260019821 73334138634 79575341922 91968223041 110001207951 119363012883 138520039642 183936446082 207780059463 220002415902 238726025766 330003623853 415560118926 623340178389 660007247706 1246680356778 1870020535167 3740041070334 5610061605501 11220123211002