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11032000111332 = 2233435657419929
BaseRepresentation
bin1010000010001001011001…
…1100101010001011100100
31110001122112001111202122000
42200202112130222023210
52421222014012030312
635244010401005300
72216015150506464
oct240422634521344
943048461452560
1011032000111332
113573710506212
1212a20aa623830
1362040bca2085
142a1d474a7ba4
15141e7abb8adc
hexa089672a2e4

11032000111332 has 96 divisors (see below), whose sum is σ = 29271875740800. Its totient is φ = 3591170505216.

The previous prime is 11032000111331. The next prime is 11032000111369. The reversal of 11032000111332 is 23311100023011.

11032000111332 is a `hidden beast` number, since 1 + 1 + 0 + 320 + 0 + 0 + 1 + 11 + 332 = 666.

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 (11032000111331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26061144 + ... + 26481072.

It is an arithmetic number, because the mean of its divisors is an integer number (304915372300).

Almost surely, 211032000111332 is an apocalyptic number.

11032000111332 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 11032000111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635937870400).

11032000111332 is an abundant number, since it is smaller than the sum of its proper divisors (18239875629468).

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

11032000111332 is a wasteful number, since it uses less digits than its factorization.

11032000111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425642 (or 425634 counting only the distinct ones).

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

Adding to 11032000111332 its reverse (23311100023011), we get a palindrome (34343100134343).

The spelling of 11032000111332 in words is "eleven trillion, thirty-two billion, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 5657 11314 16971 22628 33942 50913 67884 101826 152739 203652 243251 305478 419929 486502 610956 729753 839858 973004 1259787 1459506 1679716 2189259 2519574 2919012 3779361 4378518 5039148 6567777 7558722 8757036 11338083 13135554 15117444 18056947 22676166 26271108 36113894 45352332 54170841 72227788 108341682 162512523 216683364 325025046 487537569 650050092 975075138 1950150276 2375538353 4751076706 7126615059 9502153412 14253230118 21379845177 28506460236 42759690354 64139535531 85519380708 102148149179 128279071062 204296298358 256558142124 306444447537 408592596716 612888895074 919333342611 1225777790148 1838666685222 2758000027833 3677333370444 5516000055666 11032000111332