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12444233100 = 22352133190829
BaseRepresentation
bin10111001011011101…
…11110110110001100
31012010021000112121020
423211232332312030
5200441210424400
65414455034140
7620244143655
oct134556766614
935107015536
1012444233100
115306499572
1224b366b950
1312341c2650
14860a1852c
154cc7702a0
hex2e5bbed8c

12444233100 has 72 divisors (see below), whose sum is σ = 38774966160. Its totient is φ = 3063194880.

The previous prime is 12444233083. The next prime is 12444233143. The reversal of 12444233100 is 133244421.

It is a super-5 number, since 5×124442331005 (a number of 52 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591515 + ... + 1599314.

Almost surely, 212444233100 is an apocalyptic number.

12444233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444233100 is an abundant number, since it is smaller than the sum of its proper divisors (26330733060).

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

12444233100 is a wasteful number, since it uses less digits than its factorization.

12444233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190859 (or 3190852 counting only the distinct ones).

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

Adding to 12444233100 its reverse (133244421), we get a palindrome (12577477521).

The spelling of 12444233100 in words is "twelve billion, four hundred forty-four million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3190829 6381658 9572487 12763316 15954145 19144974 31908290 38289948 41480777 47862435 63816580 79770725 82961554 95724870 124442331 159541450 165923108 191449740 207403885 239312175 248884662 319082900 414807770 478624350 497769324 622211655 829615540 957248700 1037019425 1244423310 2074038850 2488846620 3111058275 4148077700 6222116550 12444233100