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11130122322 = 23211243118843
BaseRepresentation
bin10100101110110100…
…00011000001010010
31001201200021210111200
422113122003001102
5140243302403242
65040233052030
7542546323134
oct122732030122
931650253450
1011130122322
1147a1733700
1221a7557016
131084b869c7
147782a3054
154521e404c
hex297683052

11130122322 has 72 divisors (see below), whose sum is σ = 27123528432. Its totient is φ = 3294300240.

The previous prime is 11130122273. The next prime is 11130122323. The reversal of 11130122322 is 22322103111.

It is a super-4 number, since 4×111301223224 (a number of 41 digits) contains 4444 as substring.

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 = 11130122295 and 11130122304.

It is not an unprimeable number, because it can be changed into a prime (11130122323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34233 + ... + 153075.

Almost surely, 211130122322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561764216).

11130122322 is an abundant number, since it is smaller than the sum of its proper divisors (15993406110).

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

11130122322 is a wasteful number, since it uses less digits than its factorization.

11130122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118916 (or 118902 counting only the distinct ones).

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

Adding to 11130122322 its reverse (22322103111), we get a palindrome (33452225433).

The spelling of 11130122322 in words is "eleven billion, one hundred thirty million, one hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 946 1089 1419 2178 2838 4257 5203 8514 10406 15609 31218 46827 93654 118843 237686 356529 713058 1069587 1307273 2139174 2614546 3921819 5110249 7843638 10220498 11765457 14380003 15330747 23530914 28760006 30661494 43140009 45992241 56212739 86280018 91984482 112425478 129420027 168638217 258840054 337276434 505914651 618340129 1011829302 1236680258 1855020387 3710040774 5565061161 11130122322