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312142412020333 = 2977572966946769
BaseRepresentation
bin100011011111001000101000…
…1100101100111101001101101
31111221012112010101100220021011
41012332101101211213221231
5311403120124434122313
63023512124450105221
7122514354645631126
oct10676212145475155
91457175111326234
10312142412020333
119050494305aaa4
122b01335a27b211
1310522b982c064b
145711ab811104d
1526148190ed93d
hex11be451967a6d

312142412020333 has 16 divisors (see below), whose sum is σ = 322965361566000. Its totient is φ = 301323428396032.

The previous prime is 312142412020207. The next prime is 312142412020457. The reversal of 312142412020333 is 333020214241213.

It can be written as a sum of positive squares in 8 ways, for example, as 25027077327849 + 287115334692484 = 5002707^2 + 16944478^2 .

It is a cyclic number.

It is not a de Polignac number, because 312142412020333 - 237 = 312004973066861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312142412020295 and 312142412020304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142412023333) 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, 6674107173 + ... + 6674153941.

It is an arithmetic number, because the mean of its divisors is an integer number (20185335097875).

Almost surely, 2312142412020333 is an apocalyptic number.

It is an amenable number.

312142412020333 is a deficient number, since it is larger than the sum of its proper divisors (10822949545667).

312142412020333 is a wasteful number, since it uses less digits than its factorization.

312142412020333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84224.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 312142412020333 its reverse (333020214241213), we get a palindrome (645162626261546).

The spelling of 312142412020333 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred twelve million, twenty thousand, three hundred thirty-three".

Divisors: 1 29 7757 29669 46769 224953 860401 1356301 230142433 362787133 1387589461 6674130557 10520826857 40240094369 10763531448977 312142412020333