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10400413001 = 114720116853
BaseRepresentation
bin10011010111110100…
…11011010101001001
3222211211012201111112
421223322123111021
5132300001204001
64440004540105
7515506023536
oct115372332511
928754181445
1010400413001
114457842250
1220230b1635
13c99944a44
147093d3d8d
1540d103cbb
hex26be9b549

10400413001 has 8 divisors (see below), whose sum is σ = 11587307904. Its totient is φ = 9253751920.

The previous prime is 10400412973. The next prime is 10400413007. The reversal of 10400413001 is 10031400401.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10400413001 - 230 = 9326671177 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 (10400413007) 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 7 ways as a sum of consecutive naturals, for example, 10057910 + ... + 10058943.

It is an arithmetic number, because the mean of its divisors is an integer number (1448413488).

Almost surely, 210400413001 is an apocalyptic number.

10400413001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10400413001 is a deficient number, since it is larger than the sum of its proper divisors (1186894903).

10400413001 is a wasteful number, since it uses less digits than its factorization.

10400413001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20116911.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10400413001 its reverse (10031400401), we get a palindrome (20431813402).

The spelling of 10400413001 in words is "ten billion, four hundred million, four hundred thirteen thousand, one".

Divisors: 1 11 47 517 20116853 221285383 945492091 10400413001