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11420103132 = 22323753831949
BaseRepresentation
bin10101010001011000…
…01111000111011100
31002110212221100101200
422220230033013130
5141342021300012
65125112235500
7553000163214
oct125054170734
932425840350
1011420103132
114930394569
12226869bb90
1310ccc87299
147a49c9244
1546c8c43dc
hex2a8b0f1dc

11420103132 has 144 divisors (see below), whose sum is σ = 30586701600. Its totient is φ = 3588309504.

The previous prime is 11420103127. The next prime is 11420103139. The reversal of 11420103132 is 23130102411.

11420103132 is a `hidden beast` number, since 11 + 420 + 103 + 132 = 666.

11420103132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420103139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5858494 + ... + 5860442.

It is an arithmetic number, because the mean of its divisors is an integer number (212407650).

Almost surely, 211420103132 is an apocalyptic number.

11420103132 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 11420103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293350800).

11420103132 is an abundant number, since it is smaller than the sum of its proper divisors (19166598468).

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

11420103132 is a wasteful number, since it uses less digits than its factorization.

11420103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2127 counting only the distinct ones).

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

Adding to 11420103132 its reverse (23130102411), we get a palindrome (34550205543).

The spelling of 11420103132 in words is "eleven billion, four hundred twenty million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 83 106 111 148 159 166 212 222 249 318 332 333 444 477 498 636 666 747 954 996 1332 1494 1908 1949 1961 2988 3071 3898 3922 4399 5847 5883 6142 7796 7844 8798 9213 11694 11766 12284 13197 17541 17596 17649 18426 23388 23532 26394 27639 35082 35298 36852 39591 52788 55278 70164 70596 72113 79182 103297 110556 144226 158364 161767 162763 206594 216339 288452 309891 323534 325526 413188 432678 485301 488289 619782 647068 649017 651052 865356 929673 970602 976578 1239564 1298034 1455903 1464867 1859346 1941204 1953156 2596068 2911806 2929734 3718692 3821989 5823612 5859468 5985379 7643978 8573651 11465967 11970758 15287956 17147302 17956137 22931934 23941516 25720953 34294604 34397901 35912274 45863868 51441906 53868411 68795802 71824548 77162859 102883812 107736822 137591604 154325718 215473644 308651436 317225087 634450174 951675261 1268900348 1903350522 2855025783 3806701044 5710051566 11420103132