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13032120212300 = 2252767670141467
BaseRepresentation
bin1011110110100100011011…
…1001010101101101001100
31201010212011212100101011002
42331221012321111231030
53202004240233243200
643414512352115432
72513353042036250
oct275510671255514
951125155311132
1013032120212300
1141749891276a2
121565866835b78
13736c013972b7
14330a87c9c260
15178ede4bbbd5
hexbda46e55b4c

13032120212300 has 144 divisors (see below), whose sum is σ = 32807727337728. Its totient is φ = 4400703648000.

The previous prime is 13032120212249. The next prime is 13032120212317. The reversal of 13032120212300 is 321202123031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314256167 + ... + 314297633.

Almost surely, 213032120212300 is an apocalyptic number.

13032120212300 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 13032120212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403863668864).

13032120212300 is an abundant number, since it is smaller than the sum of its proper divisors (19775607125428).

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

13032120212300 is a wasteful number, since it uses less digits than its factorization.

13032120212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48256 (or 48249 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13032120212300 its reverse (321202123031), we get a palindrome (13353322335331).

The spelling of 13032120212300 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 268 335 350 469 670 700 938 1340 1675 1876 2345 3350 4690 6700 6701 9380 11725 13402 23450 26804 33505 41467 46900 46907 67010 82934 93814 134020 165868 167525 187628 207335 234535 290269 335050 414670 448967 469070 580538 670100 829340 897934 938140 1036675 1161076 1172675 1451345 1795868 2073350 2244835 2345350 2778289 2902690 3142769 4146700 4489670 4690700 5556578 5805380 6285538 7256725 8979340 11113156 11224175 12571076 13891445 14513450 15713845 19448023 22448350 27782890 29026900 31427690 38896046 44896700 55565780 62855380 69457225 77792092 78569225 97240115 138914450 157138450 194480230 277828900 277870367 314276900 388960460 486200575 555740734 972401150 1111481468 1389351835 1944802300 1945092569 2778703670 3890185138 5557407340 6946759175 7780370276 9725462845 13893518350 18617314589 19450925690 27787036700 37234629178 38901851380 48627314225 74469258356 93086572945 97254628450 130321202123 186173145890 194509256900 260642404246 372346291780 465432864725 521284808492 651606010615 930865729450 1303212021230 1861731458900 2606424042460 3258030053075 6516060106150 13032120212300