Search a number
-
+
122032213220333 = 1317552181960273
BaseRepresentation
bin11011101111110011010110…
…101110000101101111101101
3121000002011110202111000211002
4123233303112232011233231
5111443333433041022313
61111312454055010045
734463352001431413
oct3357632656055755
9530064422430732
10122032213220333
1135979630a98239
121182a7b1369925
135312785736060
14221c567c872b3
15e195106db058
hex6efcd6b85bed

122032213220333 has 8 divisors (see below), whose sum is σ = 139149853989048. Its totient is φ = 106018936372224.

The previous prime is 122032213220327. The next prime is 122032213220369. The reversal of 122032213220333 is 333022312230221.

It can be written as a sum of positive squares in 4 ways, for example, as 6600675595684 + 115431537624649 = 2569178^2 + 10743907^2 .

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 122032213220333 - 228 = 122031944784877 is a prime.

It is a super-2 number, since 2×1220322132203332 (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 = 122032213220296 and 122032213220305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122032219220333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276090979916 + ... + 276090980357.

It is an arithmetic number, because the mean of its divisors is an integer number (17393731748631).

Almost surely, 2122032213220333 is an apocalyptic number.

122032213220333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122032213220333 is a deficient number, since it is larger than the sum of its proper divisors (17117640768715).

122032213220333 is a wasteful number, since it uses less digits than its factorization.

122032213220333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552181960303.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 122032213220333 its reverse (333022312230221), we get a palindrome (455054525450554).

The spelling of 122032213220333 in words is "one hundred twenty-two trillion, thirty-two billion, two hundred thirteen million, two hundred twenty thousand, three hundred thirty-three".

Divisors: 1 13 17 221 552181960273 7178365483549 9387093324641 122032213220333