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11131323144132 = 22323294213303373
BaseRepresentation
bin1010000111111011011010…
…0011111101011111000100
31110102010220001022121110110
42201332312203331133010
52424333422211103012
635401354222153020
72226132364403622
oct241766643753704
943363801277413
1011131323144132
1136018497a3894
1212b93a9722770
136298aa4780b9
142a6a8a668512
1514484078073c
hexa1fb68fd7c4

11131323144132 has 96 divisors (see below), whose sum is σ = 28103520372480. Its totient is φ = 3418593615360.

The previous prime is 11131323144083. The next prime is 11131323144143. The reversal of 11131323144132 is 23144132313111.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11131323144132.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717998 + ... + 5021370.

It is an arithmetic number, because the mean of its divisors is an integer number (292745003880).

Almost surely, 211131323144132 is an apocalyptic number.

11131323144132 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 11131323144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14051760186240).

11131323144132 is an abundant number, since it is smaller than the sum of its proper divisors (16972197228348).

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

11131323144132 is a wasteful number, since it uses less digits than its factorization.

11131323144132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303853 (or 3303851 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

Adding to 11131323144132 its reverse (23144132313111), we get a palindrome (34275455457243).

The spelling of 11131323144132 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 421 667 842 1263 1334 1684 2001 2526 2668 4002 5052 8004 9683 12209 19366 24418 29049 36627 38732 48836 58098 73254 116196 146508 280807 561614 842421 1123228 1684842 3303373 3369684 6606746 9910119 13213492 19820238 39640476 75977579 95797817 151955158 191595634 227932737 287393451 303910316 383191268 455865474 574786902 911730948 1149573804 1390720033 2203349791 2781440066 4172160099 4406699582 5562880132 6610049373 8344320198 8813399164 13220098746 16688640396 26440197492 31986560759 40330880957 63973121518 80661761914 95959682277 120992642871 127946243036 161323523828 191919364554 241985285742 383838729108 483970571484 927610262011 1855220524022 2782830786033 3710441048044 5565661572066 11131323144132