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12324431000 = 235372251519
BaseRepresentation
bin10110111101001011…
…11110010010011000
31011210220120222000102
423132211332102120
5200220023243000
65354535154532
7614260635500
oct133645762230
934726528012
1012324431000
115254902472
12247b515a48
13121543782b
1484cb50a00
154c1ea83d5
hex2de97e498

12324431000 has 96 divisors (see below), whose sum is σ = 33547737600. Its totient is φ = 4225502400.

The previous prime is 12324430981. The next prime is 12324431051. The reversal of 12324431000 is 13442321.

It is a super-2 number, since 2×123244310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76760 + ... + 174759.

It is an arithmetic number, because the mean of its divisors is an integer number (349455600).

Almost surely, 212324431000 is an apocalyptic number.

12324431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324431000 is an abundant number, since it is smaller than the sum of its proper divisors (21223306600).

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

12324431000 is a wasteful number, since it uses less digits than its factorization.

12324431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251554 (or 251533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12324431000 its reverse (13442321), we get a palindrome (12337873321).

The spelling of 12324431000 in words is "twelve billion, three hundred twenty-four million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 251519 503038 1006076 1257595 1760633 2012152 2515190 3521266 5030380 6287975 7042532 8803165 10060760 12324431 12575950 14085064 17606330 24648862 25151900 31439875 35212660 44015825 49297724 50303800 61622155 62879750 70425320 88031650 98595448 123244310 125759500 176063300 220079125 246488620 251519000 308110775 352126600 440158250 492977240 616221550 880316500 1232443100 1540553875 1760633000 2464886200 3081107750 6162215500 12324431000