Search a number
-
+
10332112120031 = 131295396135433
BaseRepresentation
bin1001011001011010000111…
…0111110110100011011111
31100120201222122202222221102
42112112201313312203133
52323240131200320111
633550301244223315
72114320240652102
oct226264167664337
940521878688842
1010332112120031
113323907a30399
1211aa52353ab3b
1359c410ac1890
1427a110ddc739
1512db6688913b
hex965a1df68df

10332112120031 has 8 divisors (see below), whose sum is σ = 11126977685040. Its totient is φ = 9537259084992.

The previous prime is 10332112120027. The next prime is 10332112120051. The reversal of 10332112120031 is 13002121123301.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10332112120031 - 22 = 10332112120027 is a prime.

It is a super-3 number, since 3×103321121200313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10332112119985 and 10332112120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332112120051) 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, 1383710 + ... + 4751723.

It is an arithmetic number, because the mean of its divisors is an integer number (1390872210630).

Almost surely, 210332112120031 is an apocalyptic number.

10332112120031 is a deficient number, since it is larger than the sum of its proper divisors (794865565009).

10332112120031 is a wasteful number, since it uses less digits than its factorization.

10332112120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264985.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10332112120031 its reverse (13002121123301), we get a palindrome (23334233243332).

The spelling of 10332112120031 in words is "ten trillion, three hundred thirty-two billion, one hundred twelve million, one hundred twenty thousand, thirty-one".

Divisors: 1 13 129539 1684007 6135433 79760629 794777855387 10332112120031