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11103113232 = 24365571709
BaseRepresentation
bin10100101011100110…
…00001000000010000
31001122210110121000000
422111303001000100
5140214344110412
65033430130000
7542100622341
oct122563010020
931583417000
1011103113232
114788466342
12219a4b0900
13107c3bb1b3
147748720c8
1544eb5b4dc
hex295cc1010

11103113232 has 140 divisors (see below), whose sum is σ = 32330480940. Its totient is φ = 3692231424.

The previous prime is 11103113221. The next prime is 11103113237. The reversal of 11103113232 is 23231130111.

It can be written as a sum of positive squares in 2 ways, for example, as 1486565136 + 9616548096 = 38556^2 + 98064^2 .

It is a super-2 number, since 2×111031132322 (a number of 21 digits) contains 22 as substring.

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 (11103113237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6495994 + ... + 6497702.

Almost surely, 211103113232 is an apocalyptic number.

11103113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165240470).

11103113232 is an abundant number, since it is smaller than the sum of its proper divisors (21227367708).

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

11103113232 is an equidigital number, since it uses as much as digits as its factorization.

11103113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103113232 its reverse (23231130111), we get a palindrome (34334243343).

The spelling of 11103113232 in words is "eleven billion, one hundred three million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 557 648 729 972 1114 1296 1458 1671 1709 1944 2228 2916 3342 3418 3888 4456 5013 5127 5832 6684 6836 8912 10026 10254 11664 13368 13672 15039 15381 20052 20508 26736 27344 30078 30762 40104 41016 45117 46143 60156 61524 80208 82032 90234 92286 120312 123048 135351 138429 180468 184572 240624 246096 270702 276858 360936 369144 406053 415287 541404 553716 721872 738288 812106 830574 951913 1082808 1107432 1245861 1624212 1661148 1903826 2165616 2214864 2491722 2855739 3248424 3322296 3807652 4983444 5711478 6496848 6644592 7615304 8567217 9966888 11422956 15230608 17134434 19933776 22845912 25701651 34268868 45691824 51403302 68537736 77104953 102806604 137075472 154209906 205613208 231314859 308419812 411226416 462629718 616839624 693944577 925259436 1233679248 1387889154 1850518872 2775778308 3701037744 5551556616 11103113232