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20003440401 = 3373116632053
BaseRepresentation
bin10010101000010011…
…000100011100010001
31220122002000001121000
4102220103010130101
5311431340043101
613104531052213
71305463303140
oct225023043421
956562001530
1020003440401
11853546992a
123a63141069
131b6a310889
14d7a93d757
157c11ea486
hex4a84c4711

20003440401 has 64 divisors (see below), whose sum is σ = 34998845440. Its totient is φ = 11049773760.

The previous prime is 20003440397. The next prime is 20003440421. The reversal of 20003440401 is 10404430002.

It is not a de Polignac number, because 20003440401 - 22 = 20003440397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20003440421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9742491 + ... + 9744543.

It is an arithmetic number, because the mean of its divisors is an integer number (546856960).

Almost surely, 220003440401 is an apocalyptic number.

20003440401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20003440401 is a deficient number, since it is larger than the sum of its proper divisors (14995405039).

20003440401 is a wasteful number, since it uses less digits than its factorization.

20003440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3757 counting only the distinct ones).

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

Adding to 20003440401 its reverse (10404430002), we get a palindrome (30407870403).

The spelling of 20003440401 in words is "twenty billion, three million, four hundred forty thousand, four hundred one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1663 1953 2053 4989 5859 6159 11641 14371 14967 18477 34923 43113 44901 51553 55431 63643 104769 129339 154659 190929 314307 360871 388017 445501 463977 572787 1082613 1336503 1391931 1718361 3247839 3414139 4009509 9743517 10242417 12028527 23898973 30727251 71696919 92181753 105838309 215090757 317514927 645272271 740868163 952544781 2222604489 2857634343 6667813467 20003440401