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20104001001 = 3274323931051
BaseRepresentation
bin10010101110010010…
…101011010111101001
31220220002020001210200
4102232102223113221
5312133111013001
613122522302413
71311124121550
oct225622532751
956802201720
1020104001001
118587203567
123a90957a09
131b850bc5a6
14d8a038d97
157c9e61086
hex4ae4ab5e9

20104001001 has 48 divisors (see below), whose sum is σ = 34102548480. Its totient is φ = 11173528800.

The previous prime is 20104000993. The next prime is 20104001003. The reversal of 20104001001 is 10010040102.

It is a happy number.

It is not a de Polignac number, because 20104001001 - 23 = 20104000993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20104001003) 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 47 ways as a sum of consecutive naturals, for example, 631926 + ... + 662976.

It is an arithmetic number, because the mean of its divisors is an integer number (710469760).

Almost surely, 220104001001 is an apocalyptic number.

20104001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20104001001 is a deficient number, since it is larger than the sum of its proper divisors (13998547479).

20104001001 is a wasteful number, since it uses less digits than its factorization.

20104001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31346 (or 31343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20104001001 its reverse (10010040102), we get a palindrome (30114041103).

The spelling of 20104001001 in words is "twenty billion, one hundred four million, one thousand, one".

Divisors: 1 3 7 9 21 43 63 129 239 301 387 717 903 1673 2151 2709 5019 10277 15057 30831 31051 71939 92493 93153 215817 217357 279459 647451 652071 1335193 1956213 4005579 7421189 9346351 12016737 22263567 28039053 51948323 66790701 84117159 155844969 319111127 467534907 957333381 2233777889 2872000143 6701333667 20104001001