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312300032222013 = 311839107231051913
BaseRepresentation
bin100011100000010010000010…
…0011110111110001100111101
31111221202120222012120202200120
41013000210010132332030331
5311413210431222101023
63024112353150045153
7122531634634346613
oct10700440436761475
91457676865522616
10312300032222013
11905657775a9490
122b039a08aa97b9
13105349c74c5784
14571958b9436b3
152618991ba58e3
hex11c09047be33d

312300032222013 has 32 divisors (see below), whose sum is σ = 454838861675520. Its totient is φ = 189029343776640.

The previous prime is 312300032221987. The next prime is 312300032222077. The reversal of 312300032222013 is 310222230003213.

It is not a de Polignac number, because 312300032222013 - 26 = 312300032221949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312300032222093) 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 31 ways as a sum of consecutive naturals, for example, 296361745 + ... + 297413657.

It is an arithmetic number, because the mean of its divisors is an integer number (14213714427360).

Almost surely, 2312300032222013 is an apocalyptic number.

312300032222013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312300032222013 is a deficient number, since it is larger than the sum of its proper divisors (142538829453507).

312300032222013 is a wasteful number, since it uses less digits than its factorization.

312300032222013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063489.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 312300032222013 its reverse (310222230003213), we get a palindrome (622522262225226).

The spelling of 312300032222013 in words is "three hundred twelve trillion, three hundred billion, thirty-two million, two hundred twenty-two thousand, thirteen".

Divisors: 1 3 11 33 839 2517 9229 10723 27687 32169 117953 353859 1051913 3155739 8996597 11571043 26989791 34713129 98962567 296887701 882555007 2647665021 9708105077 11279663099 29124315231 33838989297 124076294089 372228882267 9463637340061 28390912020183 104100010740671 312300032222013