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120321120213 = 32715431237757
BaseRepresentation
bin111000000001110110…
…0101001011111010101
3102111120101102012121200
41300003230221133111
53432404201321323
6131135203103113
711456445434640
oct1600354513725
9374511365550
10120321120213
1147034154528
121b39b371a99
13b46689b428
145b75c56a57
1531e3287443
hex1c03b297d5

120321120213 has 24 divisors (see below), whose sum is σ = 198754228608. Its totient is φ = 68710311072.

The previous prime is 120321120197. The next prime is 120321120221. The reversal of 120321120213 is 312021123021.

120321120213 is a `hidden beast` number, since 12 + 0 + 321 + 120 + 213 = 666.

It is not a de Polignac number, because 120321120213 - 24 = 120321120197 is a prime.

It is a super-2 number, since 2×1203211202132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120321120223) 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, 521670 + ... + 716087.

It is an arithmetic number, because the mean of its divisors is an integer number (8281426192).

Almost surely, 2120321120213 is an apocalyptic number.

It is an amenable number.

120321120213 is a deficient number, since it is larger than the sum of its proper divisors (78433108395).

120321120213 is a wasteful number, since it uses less digits than its factorization.

120321120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239313 (or 1239310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120321120213 its reverse (312021123021), we get a palindrome (432342243234).

The spelling of 120321120213 in words is "one hundred twenty billion, three hundred twenty-one million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 63 1543 4629 10801 13887 32403 97209 1237757 3713271 8664299 11139813 25992897 77978691 1909859051 5729577153 13369013357 17188731459 40107040071 120321120213