Search a number
-
+
312030201121331 = 7118214935859043
BaseRepresentation
bin100011011110010100011000…
…1010011000000101000110011
31111220210210111012202121121212
41012330220301103000220303
5311344300322441340311
63023344410121110335
7122503303160006030
oct10674506123005063
91456723435677555
10312030201121331
11904712a0a16830
122abb56630283ab
1310515424a472a4
14570a4b1454387
15261194cd84c8b
hex11bca314c0a33

312030201121331 has 16 divisors (see below), whose sum is σ = 389498508880128. Its totient is φ = 242844264866400.

The previous prime is 312030201121313. The next prime is 312030201121349. The reversal of 312030201121331 is 133121102030213.

It is an interprime number because it is at equal distance from previous prime (312030201121313) and next prime (312030201121349).

It is a cyclic number.

It is not a de Polignac number, because 312030201121331 - 210 = 312030201120307 is a prime.

It is a super-2 number, since 2×3120302011213312 (a number of 30 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 = 312030201121297 and 312030201121306.

It is not an unprimeable number, because it can be changed into a prime (312030201129331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2467866305 + ... + 2467992738.

It is an arithmetic number, because the mean of its divisors is an integer number (24343656805008).

Almost surely, 2312030201121331 is an apocalyptic number.

312030201121331 is a deficient number, since it is larger than the sum of its proper divisors (77468307758797).

312030201121331 is a wasteful number, since it uses less digits than its factorization.

312030201121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935859882.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312030201121331 its reverse (133121102030213), we get a palindrome (445151303151544).

The spelling of 312030201121331 in words is "three hundred twelve trillion, thirty billion, two hundred one million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 7 11 77 821 5747 9031 63217 4935859043 34551013301 54294449473 380061146311 4052340274303 28366381920121 44575743017333 312030201121331