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313201122233233 = 131009131743181243
BaseRepresentation
bin100011100110110101101000…
…1101000100100101110010001
31112001221201211201102011012211
41013031223101220210232101
5312022441344242430413
63030042335332152121
7122654014532151463
oct10715532150445621
91461851751364184
10313201122233233
11908829394008a3
122b164586168641
131059b97ba45b20
14574b02d9c8133
15263212ec4383d
hex11cdad1a24b91

313201122233233 has 16 divisors (see below), whose sum is σ = 337632226839040. Its totient is φ = 288818412390144.

The previous prime is 313201122233183. The next prime is 313201122233243. The reversal of 313201122233233 is 332332221102313.

It is not a de Polignac number, because 313201122233233 - 225 = 313201088678801 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313201122233195 and 313201122233204.

It is not an unprimeable number, because it can be changed into a prime (313201122233243) 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 15 ways as a sum of consecutive naturals, for example, 1727982310 + ... + 1728163552.

It is an arithmetic number, because the mean of its divisors is an integer number (21102014177440).

Almost surely, 2313201122233233 is an apocalyptic number.

It is an amenable number.

313201122233233 is a deficient number, since it is larger than the sum of its proper divisors (24431104605807).

313201122233233 is a wasteful number, since it uses less digits than its factorization.

313201122233233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314008.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 313201122233233 its reverse (332332221102313), we get a palindrome (645533343335546).

The spelling of 313201122233233 in words is "three hundred thirteen trillion, two hundred one billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 13 1009 13117 131743 181243 1712659 2356159 132928687 182874187 1728072931 2377364431 23877496549 310407455137 24092394017941 313201122233233