Search a number
-
+
120032023000031 = 2324592122319483
BaseRepresentation
bin11011010010101100100010…
…000101111011001111011111
3120201222221122001200222122122
4123102230202011323033133
5111213101040342000111
61103141541120533155
734166012266200242
oct3322544205731737
9521887561628578
10120032023000031
113527832783409a
12115670157811bb
1351c8c8195cbbc
14218d81c03d259
15dd2495b86cdb
hex6d2b2217b3df

120032023000031 has 8 divisors (see below), whose sum is σ = 125301742335360. Its totient is φ = 114766548308632.

The previous prime is 120032023000013. The next prime is 120032023000061. The reversal of 120032023000031 is 130000320230021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120032023000031 is a prime.

It is a super-2 number, since 2×1200320230000312 (a number of 29 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 = 120032022999973 and 120032023000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120032023000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061103185 + ... + 1061216298.

It is an arithmetic number, because the mean of its divisors is an integer number (15662717791920).

Almost surely, 2120032023000031 is an apocalyptic number.

120032023000031 is a deficient number, since it is larger than the sum of its proper divisors (5269719335329).

120032023000031 is a wasteful number, since it uses less digits than its factorization.

120032023000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122321965.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 120032023000031 its reverse (130000320230021), we get a palindrome (250032343230052).

The spelling of 120032023000031 in words is "one hundred twenty trillion, thirty-two billion, twenty-three million, thirty-one", and thus it is an aban number.

Divisors: 1 23 2459 56557 2122319483 48813348109 5218783608697 120032023000031