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312331023331201 = 7131491693688183
BaseRepresentation
bin100011100000100000011101…
…1101100101010111110000001
31111221212112222000211020021101
41013001000323230222332001
5311414212413433044301
63024134520305054401
7122534112630416620
oct10701007354527601
91457775860736241
10312331023331201
1190577930243516
122b043a17927401
13105378c6003cc4
14571ac8b8636b7
1526196a7806701
hex11c103bb2af81

312331023331201 has 16 divisors (see below), whose sum is σ = 360407083373568. Its totient is φ = 265127623160400.

The previous prime is 312331023331183. The next prime is 312331023331247. The reversal of 312331023331201 is 102133320133213.

It is a happy number.

It is not a de Polignac number, because 312331023331201 - 223 = 312331014942593 is a prime.

It is a super-3 number, since 3×3123310233312013 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312331023331201.

It is not an unprimeable number, because it can be changed into a prime (312331023331501) 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, 346393845 + ... + 347294338.

It is an arithmetic number, because the mean of its divisors is an integer number (22525442710848).

Almost surely, 2312331023331201 is an apocalyptic number.

It is an amenable number.

312331023331201 is a deficient number, since it is larger than the sum of its proper divisors (48076060042367).

312331023331201 is a wasteful number, since it uses less digits than its factorization.

312331023331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693688812.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 312331023331201 its reverse (102133320133213), we get a palindrome (414464343464414).

The spelling of 312331023331201 in words is "three hundred twelve trillion, three hundred thirty-one billion, twenty-three million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 7 131 491 917 3437 64321 450247 693688183 4855817281 90873151973 340600897853 636112063811 2384206284971 44618717618743 312331023331201