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20131202100000 = 2535567104007
BaseRepresentation
bin1001001001111001010010…
…01001100110101100100000
32122021112011002100202110210
410210330221021212230200
510114312200214200000
6110452051354254120
74145300645331645
oct444745111465440
978245132322423
1020131202100000
11646165a847742
12231168aa27340
13b30497236834
144d84d9241dcc
1524d9d34ec350
hex124f29266b20

20131202100000 has 144 divisors (see below), whose sum is σ = 66051280322496. Its totient is φ = 5368320480000.

The previous prime is 20131202099993. The next prime is 20131202100067. The reversal of 20131202100000 is 120213102.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 33252004 + ... + 33852003.

It is an arithmetic number, because the mean of its divisors is an integer number (458689446684).

Almost surely, 220131202100000 is an apocalyptic number.

20131202100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131202100000 is an abundant number, since it is smaller than the sum of its proper divisors (45920078222496).

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

20131202100000 is an frugal number, since it uses more digits than its factorization.

20131202100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67104045 (or 67104017 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20131202100000 its reverse (120213102), we get a palindrome (20131322313102).

The spelling of 20131202100000 in words is "twenty trillion, one hundred thirty-one billion, two hundred two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 67104007 134208014 201312021 268416028 335520035 402624042 536832056 671040070 805248084 1006560105 1073664112 1342080140 1610496168 1677600175 2013120210 2147328224 2684160280 3220992336 3355200350 4026240420 5032800525 5368320560 6441984672 6710400700 8052480840 8388000875 10065601050 10736641120 13420801400 16104961680 16776001750 20131202100 25164002625 26841602800 32209923360 33552003500 40262404200 41940004375 50328005250 53683205600 67104007000 80524808400 83880008750 100656010500 125820013125 134208014000 161049616800 167760017500 201312021000 209700021875 251640026250 268416028000 335520035000 402624042000 419400043750 503280052500 629100065625 671040070000 805248084000 838800087500 1006560105000 1258200131250 1342080140000 1677600175000 2013120210000 2516400262500 3355200350000 4026240420000 5032800525000 6710400700000 10065601050000 20131202100000