Search a number
-
+
120213441001332 = 2238723971312239
BaseRepresentation
bin11011010101010101011111…
…011100101011011101110100
3120202122021220101200100000000
4123111111133130223131310
5111224034111344020312
61103401143054151300
734215064063566030
oct3325253734533564
9522567811610000
10120213441001332
113533826353a678
12115962061b2530
1352101042b6673
14219850c2b51c0
15dd7062addadc
hex6d555f72b774

120213441001332 has 864 divisors, whose sum is σ = 383253849538560. Its totient is φ = 32252053616640.

The previous prime is 120213441001301. The next prime is 120213441001333. The reversal of 120213441001332 is 233100144312021.

120213441001332 is a `hidden beast` number, since 1 + 2 + 0 + 213 + 4 + 410 + 0 + 1 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120213441001296 and 120213441001305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120213441001333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53690682669 + ... + 53690684907.

Almost surely, 2120213441001332 is an apocalyptic number.

120213441001332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120213441001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191626924769280).

120213441001332 is an abundant number, since it is smaller than the sum of its proper divisors (263040408537228).

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

120213441001332 is a wasteful number, since it uses less digits than its factorization.

120213441001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120213441001332 its reverse (233100144312021), we get a palindrome (353313585313353).

The spelling of 120213441001332 in words is "one hundred twenty trillion, two hundred thirteen billion, four hundred forty-one million, one thousand, three hundred thirty-two".