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11123103222 = 2347116713309
BaseRepresentation
bin10100101101111110…
…10001010111110110
31001201012002012010000
422112333101113312
5140240003300342
65035422412130
7542432550240
oct122677212766
931635065100
1011123103222
11479877a0a0
1221a5131046
131083599baa
14777397090
154517a944c
hex296fd15f6

11123103222 has 160 divisors (see below), whose sum is σ = 31540227840. Its totient is φ = 2845782720.

The previous prime is 11123103191. The next prime is 11123103227. The reversal of 11123103222 is 22230132111.

11123103222 is a `hidden beast` number, since 111 + 231 + 0 + 322 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11123103195 and 11123103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123103227) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 829104 + ... + 842412.

It is an arithmetic number, because the mean of its divisors is an integer number (197126424).

Almost surely, 211123103222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770113920).

11123103222 is an abundant number, since it is smaller than the sum of its proper divisors (20417124618).

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

11123103222 is a wasteful number, since it uses less digits than its factorization.

11123103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13408 (or 13399 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11123103222 its reverse (22230132111), we get a palindrome (33353235333).

The spelling of 11123103222 in words is "eleven billion, one hundred twenty-three million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 81 99 126 134 154 162 189 198 201 231 297 378 402 462 469 567 594 603 693 737 891 938 1134 1206 1386 1407 1474 1782 1809 2079 2211 2814 3618 4158 4221 4422 5159 5427 6237 6633 8442 10318 10854 12474 12663 13266 13309 15477 19899 25326 26618 30954 37989 39798 39927 46431 59697 75978 79854 92862 93163 119394 119781 139293 146399 186326 239562 278586 279489 292798 359343 417879 439197 558978 718686 835758 838467 878394 891703 1024793 1078029 1317591 1676934 1783406 2049586 2156058 2515401 2635182 2675109 3074379 3952773 5030802 5350218 6148758 6241921 7546203 7905546 8025327 9223137 9808733 11858319 12483842 15092406 16050654 18446274 18725763 19617466 23716638 24075981 27669411 29426199 37451526 48151962 55338822 56177289 58852398 68661131 72227943 83008233 88278597 112354578 137322262 144455886 166016466 168531867 176557194 205983393 264835791 337063734 411966786 505595601 529671582 617950179 794507373 1011191202 1235900358 1589014746 1853850537 3707701074 5561551611 11123103222