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10021320013200 = 2435212765756693
BaseRepresentation
bin1001000111010100010100…
…1110000011010110010000
31022111000210000121010202220
42101311011032003112100
52303142130410410300
633151421510541040
72053005436434216
oct221650516032620
938430700533686
1010021320013200
11321402198a541
12115a247967780
13579011157552
1426906a864cb6
15125a26a03da0
hex91d45383590

10021320013200 has 120 divisors (see below), whose sum is σ = 32354397662208. Its totient is φ = 2651309821440.

The previous prime is 10021320013183. The next prime is 10021320013261. The reversal of 10021320013200 is 231002312001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021320013200.

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, 32725947 + ... + 33030746.

Almost surely, 210021320013200 is an apocalyptic number.

10021320013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021320013200 is an abundant number, since it is smaller than the sum of its proper divisors (22333077649008).

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

10021320013200 is a wasteful number, since it uses less digits than its factorization.

10021320013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65756841 (or 65756830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10021320013200 its reverse (231002312001), we get a palindrome (10252322325201).

The spelling of 10021320013200 in words is "ten trillion, twenty-one billion, three hundred twenty million, thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 127 150 200 240 254 300 381 400 508 600 635 762 1016 1200 1270 1524 1905 2032 2540 3048 3175 3810 5080 6096 6350 7620 9525 10160 12700 15240 19050 25400 30480 38100 50800 76200 152400 65756693 131513386 197270079 263026772 328783465 394540158 526053544 657566930 789080316 986350395 1052107088 1315133860 1578160632 1643917325 1972700790 2630267720 3156321264 3287834650 3945401580 4931751975 5260535440 6575669300 7890803160 8351100011 9863503950 13151338600 15781606320 16702200022 19727007900 25053300033 26302677200 33404400044 39454015800 41755500055 50106600066 66808800088 78908031600 83511000110 100213200132 125266500165 133617600176 167022000220 200426400264 208777500275 250533000330 334044000440 400852800528 417555000550 501066000660 626332500825 668088000880 835110001100 1002132001320 1252665001650 1670220002200 2004264002640 2505330003300 3340440004400 5010660006600 10021320013200