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13044022432300 = 22522317986336713
BaseRepresentation
bin1011110111010000110001…
…0100101101001000101100
31201011222220100110210120001
42331310030110231020230
53202203124220313200
643424201410034044
72514254015165146
oct275641424551054
951158810423501
1013044022432300
114179a36673752
121568028878924
1373807a1b4922
14331496905c96
1517948937576a
hexbdd0c52d22c

13044022432300 has 144 divisors (see below), whose sum is σ = 29736436746240. Its totient is φ = 4956989340160.

The previous prime is 13044022432279. The next prime is 13044022432307. The reversal of 13044022432300 is 323422044031.

It is not an unprimeable number, because it can be changed into a prime (13044022432307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355278744 + ... + 355315456.

It is an arithmetic number, because the mean of its divisors is an integer number (206503032960).

Almost surely, 213044022432300 is an apocalyptic number.

13044022432300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044022432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868218373120).

13044022432300 is an abundant number, since it is smaller than the sum of its proper divisors (16692414313940).

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

13044022432300 is a wasteful number, since it uses less digits than its factorization.

13044022432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37792 (or 37785 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13044022432300 its reverse (323422044031), we get a palindrome (13367444476331).

The spelling of 13044022432300 in words is "thirteen trillion, forty-four billion, twenty-two million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 179 230 358 460 575 716 863 895 1150 1726 1790 2300 3452 3580 4117 4315 4475 8234 8630 8950 16468 17260 17900 19849 20585 21575 36713 39698 41170 43150 73426 79396 82340 86300 99245 102925 146852 154477 183565 198490 205850 308954 367130 396980 411700 496225 617908 734260 772385 844399 917825 992450 1544770 1688798 1835650 1984900 3089540 3377596 3552971 3671300 3861925 4221995 6571627 7105942 7723850 8443990 13143254 14211884 15447700 16887980 17764855 21109975 26286508 31683319 32858135 35529710 42219950 63366638 65716270 71059420 84439900 88824275 126733276 131432540 151147421 158416595 164290675 177648550 302294842 316833190 328581350 355297100 604589684 633666380 657162700 728716337 755737105 792082975 1457432674 1511474210 1584165950 2914865348 3022948420 3168331900 3643581685 3778685525 5671314101 7287163370 7557371050 11342628202 14574326740 15114742100 18217908425 22685256404 28356570505 36435816850 56713141010 72871633700 113426282020 130440224323 141782852525 260880448646 283565705050 521760897292 567131410100 652201121615 1304402243230 2608804486460 3261005608075 6522011216150 13044022432300