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13032000120320 = 29543227521527
BaseRepresentation
bin1011110110100011111110…
…1111001110011000000000
31201010211212111101001220222
42331220333233032120000
53202004014012322240
643414452422122212
72513350053212666
oct275507757163000
951124774331828
1013032000120320
114174927362825
121565832580368
13736bb253a55c
14330a75d5ac36
15178ed3b98eb5
hexbda3fbce600

13032000120320 has 160 divisors (see below), whose sum is σ = 32113825083648. Its totient is φ = 5069132587008.

The previous prime is 13032000120317. The next prime is 13032000120323. The reversal of 13032000120320 is 2302100023031.

It is an interprime number because it is at equal distance from previous prime (13032000120317) and next prime (13032000120323).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032000120323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24727397 + ... + 25248923.

Almost surely, 213032000120320 is an apocalyptic number.

13032000120320 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 13032000120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056912541824).

13032000120320 is an abundant number, since it is smaller than the sum of its proper divisors (19081824963328).

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

13032000120320 is an equidigital number, since it uses as much as digits as its factorization.

13032000120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521820 (or 521804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13032000120320 its reverse (2302100023031), we get a palindrome (15334100143351).

The spelling of 13032000120320 in words is "thirteen trillion, thirty-two billion, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 227 256 320 344 430 454 512 640 688 860 908 1135 1280 1376 1720 1816 2270 2560 2752 3440 3632 4540 5504 6880 7264 9080 9761 11008 13760 14528 18160 19522 22016 27520 29056 36320 39044 48805 55040 58112 72640 78088 97610 110080 116224 145280 156176 195220 290560 312352 390440 521527 581120 624704 780880 1043054 1249408 1561760 2086108 2498816 2607635 3123520 4172216 4997632 5215270 6247040 8344432 10430540 12494080 16688864 20861080 22425661 24988160 33377728 41722160 44851322 66755456 83444320 89702644 112128305 118386629 133510912 166888640 179405288 224256610 236773258 267021824 333777280 358810576 448513220 473546516 591933145 667554560 717621152 897026440 947093032 1183866290 1335109120 1435242304 1794052880 1894186064 2367732580 2870484608 3588105760 3788372128 4735465160 5090625047 5740969216 7176211520 7576744256 9470930320 10181250094 11481938432 14352423040 15153488512 18941860640 20362500188 25453125235 28704846080 30306977024 37883721280 40725000376 50906250470 57409692160 60613954048 75767442560 81450000752 101812500940 151534885120 162900001504 203625001880 303069770240 325800003008 407250003760 651600006016 814500007520 1303200012032 1629000015040 2606400024064 3258000030080 6516000060160 13032000120320