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13132000132300 = 22527219141052633
BaseRepresentation
bin1011111100011000100000…
…1100111111110011001100
31201111101222200001000121101
42333012020030333303030
53210123314013213200
643532431345312444
72523520130251300
oct277061014776314
951441880030541
1013132000132300
1142032827a6925
1215810a0335724
1374345b05258a
14335840dc1d00
1517b8d7dd726a
hexbf18833fccc

13132000132300 has 108 divisors (see below), whose sum is σ = 34893600598920. Its totient is φ = 4265431591680.

The previous prime is 13132000132271. The next prime is 13132000132309. The reversal of 13132000132300 is 323100023131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13132000132309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70433217 + ... + 70619416.

Almost surely, 213132000132300 is an apocalyptic number.

13132000132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132000132300 is an abundant number, since it is smaller than the sum of its proper divisors (21761600466620).

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

13132000132300 is a wasteful number, since it uses less digits than its factorization.

13132000132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141052680 (or 141052666 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13132000132300 its reverse (323100023131), we get a palindrome (13455100155431).

The spelling of 13132000132300 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 350 380 475 490 532 665 700 931 950 980 1225 1330 1862 1900 2450 2660 3325 3724 4655 4900 6650 9310 13300 18620 23275 46550 93100 141052633 282105266 564210532 705263165 987368431 1410526330 1974736862 2680000027 2821052660 3526315825 3949473724 4936842155 5360000054 6911579017 7052631650 9873684310 10720000108 13400000135 13823158034 14105263300 18760000189 19747368620 24684210775 26800000270 27646316068 34557895085 37520000378 49368421550 53600000540 67000000675 69115790170 75040000756 93800000945 98736843100 131320001323 134000001350 138231580340 172789475425 187600001890 262640002646 268000002700 345578950850 375200003780 469000004725 525280005292 656600006615 691157901700 938000009450 1313200013230 1876000018900 2626400026460 3283000033075 6566000066150 13132000132300