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120232132103313 = 3297137722946281
BaseRepresentation
bin11011010101100110111001…
…100001100100110010010001
3120202201002011000021200201100
4123111212321201210302101
5111224340401304301223
61103413513505255013
734216325213412516
oct3325467141446221
9522632130250640
10120232132103313
113534518514419a
1211599961934469
135211ac275c219
1421993a280130d
15dd77a89ad043
hex6d59b9864c91

120232132103313 has 12 divisors (see below), whose sum is σ = 175459033563268. Its totient is φ = 79328417057280.

The previous prime is 120232132103273. The next prime is 120232132103381. The reversal of 120232132103313 is 313301231232021.

120232132103313 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 2 + 1 + 321 + 0 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39683158494849 + 80548973608464 = 6299457^2 + 8974908^2 .

It is not a de Polignac number, because 120232132103313 - 210 = 120232132102289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120232132103813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68861472268 + ... + 68861474013.

Almost surely, 2120232132103313 is an apocalyptic number.

It is an amenable number.

120232132103313 is a deficient number, since it is larger than the sum of its proper divisors (55226901459955).

120232132103313 is a wasteful number, since it uses less digits than its factorization.

120232132103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137722946384 (or 137722946381 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 120232132103313 its reverse (313301231232021), we get a palindrome (433533363335334).

The spelling of 120232132103313 in words is "one hundred twenty trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred three thousand, three hundred thirteen".

Divisors: 1 3 9 97 291 873 137722946281 413168838843 1239506516529 13359125789257 40077377367771 120232132103313