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20131323200100 = 22325273195448127
BaseRepresentation
bin1001001001111001100000…
…10111100100001001100100
32122021112110112020021120200
410210330300113210021210
510114312422214400400
6110452111402030500
74145303645554320
oct444746027441144
978245415207520
1020131323200100
11646171213aa72
1223117034a8430
13b304b63573b8
144d850b366980
1524d9dde6db00
hex124f305e4264

20131323200100 has 108 divisors (see below), whose sum is σ = 72114873352704. Its totient is φ = 4601445301440.

The previous prime is 20131323200057. The next prime is 20131323200101. The reversal of 20131323200100 is 100232313102.

20131323200100 is a `hidden beast` number, since 2 + 0 + 131 + 323 + 200 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20131323200101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1597717764 + ... + 1597730363.

Almost surely, 220131323200100 is an apocalyptic number.

20131323200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131323200100 is an abundant number, since it is smaller than the sum of its proper divisors (51983550152604).

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

20131323200100 is a wasteful number, since it uses less digits than its factorization.

20131323200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195448154 (or 3195448144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20131323200100 its reverse (100232313102), we get a palindrome (20231555513202).

The spelling of 20131323200100 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 3195448127 6390896254 9586344381 12781792508 15977240635 19172688762 22368136889 28759033143 31954481270 38345377524 44736273778 47931721905 57518066286 63908962540 67104410667 79886203175 89472547556 95863443810 111840684445 115036132572 134208821334 143795165715 159772406350 191726887620 201313232001 223681368890 239658609525 268417642668 287590331430 319544812700 335522053335 402626464002 447362737780 479317219050 559203422225 575180662860 671044106670 718975828575 805252928004 958634438100 1006566160005 1118406844450 1342088213340 1437951657150 1677610266675 2013132320010 2236813688900 2875903314300 3355220533350 4026264640020 5032830800025 6710441066700 10065661600050 20131323200100