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332230012132123 = 74198689838153
BaseRepresentation
bin100101110001010010101001…
…1110110110101101100011011
31121120022212201202220011022201
41023202211103312311230123
5322021224031101211443
63134332205514431031
7126656553261430000
oct11342452366655433
91546285652804281
10332230012132123
1196949a586a2636
123131849aa32477
131134c204149851
145c080386398a7
1528620e97ad34d
hex12e2953db5b1b

332230012132123 has 40 divisors (see below), whose sum is σ = 408024933725200. Its totient is φ = 269749391353344.

The previous prime is 332230012132121. The next prime is 332230012132147. The reversal of 332230012132123 is 321231210032233.

It is a happy number.

It is not a de Polignac number, because 332230012132123 - 21 = 332230012132121 is a prime.

It is a super-2 number, since 2×3322300121321232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332230012132091 and 332230012132100.

It is not an unprimeable number, because it can be changed into a prime (332230012132121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395964415 + ... + 396802567.

It is an arithmetic number, because the mean of its divisors is an integer number (10200623343130).

Almost surely, 2332230012132123 is an apocalyptic number.

332230012132123 is a deficient number, since it is larger than the sum of its proper divisors (75794921593077).

332230012132123 is an frugal number, since it uses more digits than its factorization.

332230012132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846889 (or 846868 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 332230012132123 its reverse (321231210032233), we get a palindrome (653461222164356).

The spelling of 332230012132123 in words is "three hundred thirty-two trillion, two hundred thirty billion, twelve million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 7 19 49 133 343 931 2401 6517 8689 45619 60823 165091 425761 838153 1155637 2980327 5867071 8089459 15924907 20862289 41069497 56626213 111474349 287486479 396383491 780320443 2012405353 5462243101 7282711417 38235701707 50978979919 138371516923 356852859433 968600618461 2497970016031 6780204329227 17485790112217 47461430304589 332230012132123