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431343221112 = 2335491451903
BaseRepresentation
bin1100100011011100000…
…11110011100101111000
31112020101001100222100000
412101232003303211320
524031342331033422
6530053434113000
743110041612256
oct6215603634570
91466331328300
10431343221112
11156a28004321
126b71bb7b760
13318a209211b
1416c3cb7d5d6
15b3483edcac
hex646e0f3978

431343221112 has 96 divisors (see below), whose sum is σ = 1213958753280. Its totient is φ = 143487923040.

The previous prime is 431343221063. The next prime is 431343221119. The reversal of 431343221112 is 211122343134.

431343221112 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 432 + 211 + 12 = 666.

431343221112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431343221119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728553 + ... + 1180455.

It is an arithmetic number, because the mean of its divisors is an integer number (12645403680).

Almost surely, 2431343221112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431343221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606979376640).

431343221112 is an abundant number, since it is smaller than the sum of its proper divisors (782615532168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431343221112 is a wasteful number, since it uses less digits than its factorization.

431343221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452415 (or 452399 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 431343221112 its reverse (211122343134), we get a palindrome (642465564246).

The spelling of 431343221112 in words is "four hundred thirty-one billion, three hundred forty-three million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 491 648 972 982 1473 1944 1964 2946 3928 4419 5892 8838 11784 13257 17676 26514 35352 39771 53028 79542 106056 119313 159084 238626 318168 451903 477252 903806 954504 1355709 1807612 2711418 3615224 4067127 5422836 8134254 10845672 12201381 16268508 24402762 32537016 36604143 48805524 73208286 97611048 109812429 146416572 219624858 221884373 292833144 439249716 443768746 665653119 878499432 887537492 1331306238 1775074984 1996959357 2662612476 3993918714 5325224952 5990878071 7987837428 11981756142 15975674856 17972634213 23963512284 35945268426 47927024568 53917902639 71890536852 107835805278 143781073704 215671610556 431343221112