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120023200211233 = 1123593276072161
BaseRepresentation
bin11011010010100100010100…
…001101101010000100100001
3120201222002212012001212201011
4123102210110031222010201
5111212430003223224413
61103133521425540521
734165250534551024
oct3322442415520441
9521862765055634
10120023200211233
113527460a580300
1211565372aa4741
1351c81a6b18307
14218d2223971bb
15dd212b31233d
hex6d291436a121

120023200211233 has 12 divisors (see below), whose sum is σ = 131963045580324. Its totient is φ = 109081631859200.

The previous prime is 120023200211221. The next prime is 120023200211251. The reversal of 120023200211233 is 332112002320021.

It can be written as a sum of positive squares in 2 ways, for example, as 61069489201809 + 58953711009424 = 7814697^2 + 7678132^2 .

It is a de Polignac number, because none of the positive numbers 2k-120023200211233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120023200211833) 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 11 ways as a sum of consecutive naturals, for example, 137601328 + ... + 138470833.

It is an arithmetic number, because the mean of its divisors is an integer number (10996920465027).

Almost surely, 2120023200211233 is an apocalyptic number.

It is an amenable number.

120023200211233 is a deficient number, since it is larger than the sum of its proper divisors (11939845369091).

120023200211233 is a wasteful number, since it uses less digits than its factorization.

120023200211233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276075776 (or 276075765 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 120023200211233 its reverse (332112002320021), we get a palindrome (452135202531254).

The spelling of 120023200211233 in words is "one hundred twenty trillion, twenty-three billion, two hundred million, two hundred eleven thousand, two hundred thirty-three".

Divisors: 1 11 121 3593 39523 434753 276072161 3036793771 33404731481 991927274473 10911200019203 120023200211233