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20123201313000 = 2332532235911257
BaseRepresentation
bin1001001001101010011000…
…10001000001100011101000
32122020202111111110200000100
410210311030101001203220
510114144304014004000
6110444245425505400
74144565454633222
oct444651421014350
978222444420010
1020123201313000
116459224591a85
1223100174a2260
13b2c7c07a9446
144d7d7a811412
1524d6b5de8a00
hex124d4c4418e8

20123201313000 has 96 divisors (see below), whose sum is σ = 68016420468360. Its totient is φ = 5366187014400.

The previous prime is 20123201312917. The next prime is 20123201313013. The reversal of 20123201313000 is 31310232102.

20123201313000 is a `hidden beast` number, since 2 + 0 + 1 + 232 + 0 + 131 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2736953331876 + 17386247981124 = 1654374^2 + 4169682^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117946629 + ... + 1117964628.

Almost surely, 220123201313000 is an apocalyptic number.

20123201313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123201313000 is an abundant number, since it is smaller than the sum of its proper divisors (47893219155360).

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

20123201313000 is a wasteful number, since it uses less digits than its factorization.

20123201313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235911284 (or 2235911267 counting only the distinct ones).

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

Adding to 20123201313000 its reverse (31310232102), we get a palindrome (20154511545102).

The spelling of 20123201313000 in words is "twenty trillion, one hundred twenty-three billion, two hundred one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 2235911257 4471822514 6707733771 8943645028 11179556285 13415467542 17887290056 20123201313 22359112570 26830935084 33538668855 40246402626 44718225140 53661870168 55897781425 67077337710 80492805252 89436450280 100616006565 111795562850 134154675420 160985610504 167693344275 201232013130 223591125700 268309350840 279488907125 335386688550 402464026260 447182251400 503080032825 558977814250 670773377100 804928052520 838466721375 1006160065650 1117955628500 1341546754200 1676933442750 2012320131300 2235911257000 2515400164125 3353866885500 4024640262600 5030800328250 6707733771000 10061600656500 20123201313000