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13132001201000 = 2353111936185587
BaseRepresentation
bin1011111100011000100001…
…0001000100101101101000
31201111101222202001022120212
42333012020101010231220
53210123314301413000
643532431424240252
72523520142322113
oct277061021045550
951441882038525
1013132001201000
114203283366850
1215810a0770088
1374345b337b46
143358411bd57a
1517b8d8048c35
hexbf188444b68

13132001201000 has 128 divisors (see below), whose sum is σ = 33696114341760. Its totient is φ = 4750530048000.

The previous prime is 13132001200933. The next prime is 13132001201041. The reversal of 13132001201000 is 10210023131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969794 + ... + 5215793.

It is an arithmetic number, because the mean of its divisors is an integer number (263250893295).

Almost surely, 213132001201000 is an apocalyptic number.

13132001201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132001201000 is an abundant number, since it is smaller than the sum of its proper divisors (20564113140760).

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

13132001201000 is a wasteful number, since it uses less digits than its factorization.

13132001201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185812 (or 6185798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13132001201000 its reverse (10210023131), we get a palindrome (13142211224131).

The spelling of 13132001201000 in words is "thirteen trillion, one hundred thirty-two billion, one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 193 200 220 250 275 386 440 500 550 772 965 1000 1100 1375 1544 1930 2123 2200 2750 3860 4246 4825 5500 7720 8492 9650 10615 11000 16984 19300 21230 24125 38600 42460 48250 53075 84920 96500 106150 193000 212300 265375 424600 530750 1061500 2123000 6185587 12371174 24742348 30927935 49484696 61855870 68041457 123711740 136082914 154639675 247423480 272165828 309279350 340207285 544331656 618558700 680414570 773198375 1193818291 1237117400 1360829140 1546396750 1701036425 2387636582 2721658280 3092793500 3402072850 4775273164 5969091455 6185587000 6804145700 8505182125 9550546328 11938182910 13132001201 13608291400 17010364250 23876365820 26264002402 29845457275 34020728500 47752731640 52528004804 59690914550 65660006005 68041457000 105056009608 119381829100 131320012010 149227286375 238763658200 262640024020 298454572750 328300030025 525280048040 596909145500 656600060050 1193818291000 1313200120100 1641500150125 2626400240200 3283000300250 6566000600500 13132001201000