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13323212424 = 233489231017
BaseRepresentation
bin11000110100010000…
…00001011010001000
31021101111222022120000
430122020001122020
5204241220244144
610042014403000
7651106302624
oct143210013210
937344868500
1013323212424
115717673765
1226b9b00460
131344339162
14905662184
1552e9e8769
hex31a201688

13323212424 has 80 divisors (see below), whose sum is σ = 37736790300. Its totient is φ = 4391152128.

The previous prime is 13323212423. The next prime is 13323212437. The reversal of 13323212424 is 42421232331.

13323212424 is a `hidden beast` number, since 1 + 3 + 3 + 23 + 212 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13275187524 + 48024900 = 115218^2 + 6930^2 .

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 not an unprimeable number, because it can be changed into a prime (13323212423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57837 + ... + 173180.

Almost surely, 213323212424 is an apocalyptic number.

It is an amenable number.

13323212424 is an abundant number, since it is smaller than the sum of its proper divisors (24413577876).

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

13323212424 is a wasteful number, since it uses less digits than its factorization.

13323212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231124 (or 231111 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 13323212424 its reverse (42421232331), we get a palindrome (55744444755).

The spelling of 13323212424 in words is "thirteen billion, three hundred twenty-three million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 801 1068 1602 2136 2403 3204 4806 6408 7209 9612 14418 19224 28836 57672 231017 462034 693051 924068 1386102 1848136 2079153 2772204 4158306 5544408 6237459 8316612 12474918 16633224 18712377 20560513 24949836 37424754 41121026 49899672 61681539 74849508 82242052 123363078 149699016 164484104 185044617 246726156 370089234 493452312 555133851 740178468 1110267702 1480356936 1665401553 2220535404 3330803106 4441070808 6661606212 13323212424