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312011232113 = 71713719138271
BaseRepresentation
bin1001000101001010101…
…00011001001101110001
31002211100121011211122202
410202211110121031301
520102444333411423
6355200323312545
731353633466640
oct4424524311561
91084317154582
10312011232113
1111036122a809
1250577b1b755
13235653c6a49
141115c445357
1581b1dec728
hex48a5519371

312011232113 has 16 divisors (see below), whose sum is σ = 380315741184. Its totient is φ = 249869253120.

The previous prime is 312011232083. The next prime is 312011232119. The reversal of 312011232113 is 311232110213.

It is a happy number.

It is not a de Polignac number, because 312011232113 - 214 = 312011215729 is a prime.

It is a super-3 number, since 3×3120112321133 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312011232119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9552833 + ... + 9585438.

It is an arithmetic number, because the mean of its divisors is an integer number (23769733824).

Almost surely, 2312011232113 is an apocalyptic number.

It is an amenable number.

312011232113 is a deficient number, since it is larger than the sum of its proper divisors (68304509071).

312011232113 is a wasteful number, since it uses less digits than its factorization.

312011232113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19138432.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312011232113 its reverse (311232110213), we get a palindrome (623243342326).

The spelling of 312011232113 in words is "three hundred twelve billion, eleven million, two hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 7 17 119 137 959 2329 16303 19138271 133967897 325350607 2277454249 2621943127 18353601889 44573033159 312011232113