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13100321131400 = 2352103677939347
BaseRepresentation
bin1011111010100010011111…
…1111001100101110001000
31201101101012220102000222202
42332220213333030232020
53204113424202201100
643510112054335332
72521316112220136
oct276504777145610
951341186360882
1013100321131400
1141a08a6832648
121576b1b05a548
1374047cb84029
143340b799a756
1517ab81ba67d5
hexbea27fccb88

13100321131400 has 96 divisors (see below), whose sum is σ = 30799417371840. Its totient is φ = 5181582831360.

The previous prime is 13100321131393. The next prime is 13100321131427. The reversal of 13100321131400 is 413112300131.

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 23 ways as a sum of consecutive naturals, for example, 13476527 + ... + 14415873.

It is an arithmetic number, because the mean of its divisors is an integer number (320827264290).

Almost surely, 213100321131400 is an apocalyptic number.

13100321131400 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 13100321131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399708685920).

13100321131400 is an abundant number, since it is smaller than the sum of its proper divisors (17699096240440).

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

13100321131400 is a wasteful number, since it uses less digits than its factorization.

13100321131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940143 (or 940134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13100321131400 its reverse (413112300131), we get a palindrome (13513433431531).

The spelling of 13100321131400 in words is "thirteen trillion, one hundred billion, three hundred twenty-one million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 677 824 1030 1354 2060 2575 2708 3385 4120 5150 5416 6770 10300 13540 16925 20600 27080 33850 67700 69731 135400 139462 278924 348655 557848 697310 939347 1394620 1743275 1878694 2789240 3486550 3757388 4696735 6973100 7514776 9393470 13946200 18786940 23483675 37573880 46967350 93934700 96752741 187869400 193505482 387010964 483763705 635937919 774021928 967527410 1271875838 1935054820 2418818525 2543751676 3179689595 3870109640 4837637050 5087503352 6359379190 9675274100 12718758380 15898447975 19350548200 25437516760 31796895950 63593791900 65501605657 127187583800 131003211314 262006422628 327508028285 524012845256 655016056570 1310032113140 1637540141425 2620064226280 3275080282850 6550160565700 13100321131400