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13132000223200 = 255297285159357
BaseRepresentation
bin1011111100011000100000…
…1101010101111111100000
31201111101222200012122022001
42333012020031111333200
53210123314024120300
643532431351253344
72523520131110305
oct277061015257740
951441880178261
1013132000223200
114203282859151
1215810a037a254
1374345b084a71
143358410070ac
1517b8d7e0416a
hexbf188355fe0

13132000223200 has 144 divisors (see below), whose sum is σ = 32400901928304. Its totient is φ = 5196736512000.

The previous prime is 13132000223191. The next prime is 13132000223213. The reversal of 13132000223200 is 232200023131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221207922 + ... + 221267278.

It is an arithmetic number, because the mean of its divisors is an integer number (225006263391).

Almost surely, 213132000223200 is an apocalyptic number.

13132000223200 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 13132000223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200450964152).

13132000223200 is an abundant number, since it is smaller than the sum of its proper divisors (19268901705104).

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

13132000223200 is a wasteful number, since it uses less digits than its factorization.

13132000223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62325 (or 62312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13132000223200 its reverse (232200023131), we get a palindrome (13364200246331).

The spelling of 13132000223200 in words is "thirteen trillion, one hundred thirty-two billion, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 160 194 200 388 400 485 776 800 970 1552 1940 2425 2851 3104 3880 4850 5702 7760 9700 11404 14255 15520 19400 22808 28510 38800 45616 57020 59357 71275 77600 91232 114040 118714 142550 228080 237428 276547 285100 296785 456160 474856 553094 570200 593570 949712 1106188 1140400 1187140 1382735 1483925 1899424 2212376 2280800 2374280 2765470 2967850 4424752 4748560 5530940 5757629 5935700 6913675 8849504 9497120 11061880 11515258 11871400 13827350 22123760 23030516 23742800 27654700 28788145 44247520 46061032 47485600 55309400 57576290 92122064 110618800 115152580 143940725 169226807 184244128 221237600 230305160 287881450 338453614 460610320 575762900 676907228 846134035 921220640 1151525800 1353814456 1692268070 2303051600 2707628912 3384536140 4230670175 4606103200 5415257824 6769072280 8461340350 13538144560 16415000279 16922680700 27076289120 32830000558 33845361400 65660001116 67690722800 82075001395 131320002232 135381445600 164150002790 262640004464 328300005580 410375006975 525280008928 656600011160 820750013950 1313200022320 1641500027900 2626400044640 3283000055800 6566000111600 13132000223200