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13230103032 = 2333173487727
BaseRepresentation
bin11000101001001001…
…10101100111111000
31021011000202212111000
430110210311213320
5204043401244112
610024451005000
7645566006646
oct142444654770
937130685430
1013230103032
11567a059253
122692899760
13132ac68b43
148d7146196
155267557dc
hex3149359f8

13230103032 has 128 divisors (see below), whose sum is σ = 37089561600. Its totient is φ = 4369521024.

The previous prime is 13230102979. The next prime is 13230103037. The reversal of 13230103032 is 23030103231.

13230103032 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 junction number, because it is equal to n+sod(n) for n = 13230102996 and 13230103014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230103037) 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 31 ways as a sum of consecutive naturals, for example, 18197853 + ... + 18198579.

It is an arithmetic number, because the mean of its divisors is an integer number (289762200).

Almost surely, 213230103032 is an apocalyptic number.

13230103032 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 13230103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544780800).

13230103032 is an abundant number, since it is smaller than the sum of its proper divisors (23859458568).

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

13230103032 is a wasteful number, since it uses less digits than its factorization.

13230103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13230103032 its reverse (23030103231), we get a palindrome (36260206263).

The spelling of 13230103032 in words is "thirteen billion, two hundred thirty million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 487 519 692 727 974 1038 1384 1454 1461 1557 1948 2076 2181 2908 2922 3114 3896 4152 4362 4383 4671 5816 5844 6228 6543 8724 8766 9342 11688 12456 13086 13149 17448 17532 18684 19629 26172 26298 35064 37368 39258 52344 52596 78516 84251 105192 125771 157032 168502 251542 252753 337004 354049 377313 503084 505506 674008 708098 754626 758259 1006168 1011012 1062147 1131939 1416196 1509252 1516518 2022024 2124294 2263878 2274777 2832392 3018504 3033036 3186441 3395817 4248588 4527756 4549554 6066072 6372882 6791634 8497176 9055512 9099108 9559323 12745764 13583268 18198216 19118646 25491528 27166536 38237292 61250477 76474584 122500954 183751431 245001908 367502862 490003816 551254293 735005724 1102508586 1470011448 1653762879 2205017172 3307525758 4410034344 6615051516 13230103032