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20001203400042 = 2323730031836937
BaseRepresentation
bin1001000110000111001001…
…00111111010110101101010
32121211002121020212120011200
410203003210213322311222
510110144431032300132
6110312232003105030
74133016315530544
oct443034447726552
977732536776150
1020001203400042
11641150a986327
1222b044a672176
13b2114a6c8977
144d20c5dd4694
1524a425843d7c
hex1230e49fad6a

20001203400042 has 24 divisors (see below), whose sum is σ = 44507182342116. Its totient is φ = 6486876778176.

The previous prime is 20001203400037. The next prime is 20001203400047. The reversal of 20001203400042 is 24000430210002.

20001203400042 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 203 + 400 + 0 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (20001203400037) and next prime (20001203400047).

It can be written as a sum of positive squares in 2 ways, for example, as 19860044644521 + 141158755521 = 4456461^2 + 375711^2 .

It is a super-2 number, since 2×200012034000422 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20001203399988 and 20001203400024.

It is not an unprimeable number, because it can be changed into a prime (20001203400047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15015917803 + ... + 15015919134.

Almost surely, 220001203400042 is an apocalyptic number.

20001203400042 is an abundant number, since it is smaller than the sum of its proper divisors (24505978942074).

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

20001203400042 is a wasteful number, since it uses less digits than its factorization.

20001203400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30031836982 (or 30031836979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20001203400042 its reverse (24000430210002), we get a palindrome (44001633610044).

The spelling of 20001203400042 in words is "twenty trillion, one billion, two hundred three million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 30031836937 60063673874 90095510811 180191021622 270286532433 540573064866 1111177966669 2222355933338 3333533900007 6667067800014 10000601700021 20001203400042