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312024420213 = 31190911040071
BaseRepresentation
bin1001000101001100001…
…10101100111101110101
31002211101111222212022220
410202212012230331311
520103011222421323
6355201514112553
731354153545132
oct4424606547565
91084344885286
10312024420213
11110368718170
125058041b759
132356806375c
14111600b9589
1581b31550e3
hex48a61acf75

312024420213 has 16 divisors (see below), whose sum is σ = 453904061952. Its totient is φ = 189084726000.

The previous prime is 312024420181. The next prime is 312024420221.

It is a happy number.

312024420213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312024420213 - 25 = 312024420181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312024420283) 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, 220033 + ... + 820038.

It is an arithmetic number, because the mean of its divisors is an integer number (28369003872).

Almost surely, 2312024420213 is an apocalyptic number.

312024420213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312024420213 is a deficient number, since it is larger than the sum of its proper divisors (141879641739).

312024420213 is a wasteful number, since it uses less digits than its factorization.

312024420213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049176.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 312024 and 420213, that added together give a palindrome (732237).

The spelling of 312024420213 in words is "three hundred twelve billion, twenty-four million, four hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 11 33 9091 27273 100001 300003 1040071 3120213 11440781 34322343 9455285461 28365856383 104008140071 312024420213