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320003132130031 = 7259132783413283
BaseRepresentation
bin100100011000010101000100…
…1000001001000001011101111
31112222001000000111001210011211
41020300222021001020023233
5313420412403311130111
63052331224234455251
7124255314633256300
oct11060521101101357
91488030014053154
10320003132130031
1192a65625694179
122ba82901594527
131097322058321c
14590433ca527a7
1526ee038688521
hex1230a890482ef

320003132130031 has 24 divisors (see below), whose sum is σ = 378843116739840. Its totient is φ = 269436245066352.

The previous prime is 320003132130013. The next prime is 320003132130047. The reversal of 320003132130031 is 130031231300023.

It is not a de Polignac number, because 320003132130031 - 29 = 320003132129519 is a prime.

It is a super-2 number, since 2×3200031321300312 (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 = 320003132129984 and 320003132130011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320003132140031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37870285 + ... + 45542998.

It is an arithmetic number, because the mean of its divisors is an integer number (15785129864160).

Almost surely, 2320003132130031 is an apocalyptic number.

320003132130031 is a deficient number, since it is larger than the sum of its proper divisors (58839984609809).

320003132130031 is a wasteful number, since it uses less digits than its factorization.

320003132130031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83414683 (or 83414676 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 320003132130031 its reverse (130031231300023), we get a palindrome (450034363430054).

The spelling of 320003132130031 in words is "three hundred twenty trillion, three billion, one hundred thirty-two million, one hundred thirty thousand, thirty-one".

Divisors: 1 7 49 59 413 1327 2891 9289 65023 78293 548051 3836357 83413283 583892981 4087250867 4921383697 34449685879 110689426541 241147801153 774825985787 5423781900509 6530676165919 45714733161433 320003132130031