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132112331130 = 235132130719937
BaseRepresentation
bin111101100001010000…
…0100011000101111010
3110122000010122210012010
41323002200203011322
54131031224044010
6140405213430350
712354603200103
oct1730240430572
9418003583163
10132112331130
1151034a6a83a
122173019b3b6
13c5c56bc300
146573c453aa
153683514620
hex1ec282317a

132112331130 has 96 divisors (see below), whose sum is σ = 343615639104. Its totient is φ = 32493447168.

The previous prime is 132112331093. The next prime is 132112331173. The reversal of 132112331130 is 31133211231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132112331097 and 132112331106.

It is an unprimeable number.

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, 6616522 + ... + 6636458.

It is an arithmetic number, because the mean of its divisors is an integer number (3579329574).

Almost surely, 2132112331130 is an apocalyptic number.

132112331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132112331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171807819552).

132112331130 is an abundant number, since it is smaller than the sum of its proper divisors (211503307974).

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

132112331130 is a wasteful number, since it uses less digits than its factorization.

132112331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21280 (or 21267 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132112331130 its reverse (31133211231), we get a palindrome (163245542361).

The spelling of 132112331130 in words is "one hundred thirty-two billion, one hundred twelve million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1307 1690 2535 2614 3921 5070 6535 7842 13070 16991 19605 19937 33982 39210 39874 50973 59811 84955 99685 101946 119622 169910 199370 220883 254865 259181 299055 441766 509730 518362 598110 662649 777543 1104415 1295905 1325298 1555086 2208830 2591810 3313245 3369353 3887715 6626490 6738706 7775430 10108059 16846765 20216118 26057659 33693530 50540295 52115318 78172977 101080590 130288295 156345954 260576590 338749567 390864885 677499134 781729770 1016248701 1693747835 2032497402 3387495670 4403744371 5081243505 8807488742 10162487010 13211233113 22018721855 26422466226 44037443710 66056165565 132112331130