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10400000000001 = 338913036839401
BaseRepresentation
bin1001011101010111000001…
…0011100100000000000001
31100211020012212210121211020
42113111300103210000001
52330343200000000001
634041405525140053
72122242460265313
oct227256023440001
940736185717736
1010400000000001
11334a684966417
1211bb70ab5a629
135a593c796861
1427d5112d17b3
151307db83b736
hex975704e4001

10400000000001 has 16 divisors (see below), whose sum is σ = 13912985124480. Its totient is φ = 6910201468800.

The previous prime is 10399999999979. The next prime is 10400000000009. The reversal of 10400000000001 is 10000000000401.

Adding to 10400000000001 its reverse (10000000000401), we get a palindrome (20400000000402).

It is not a de Polignac number, because 10400000000001 - 213 = 10399999991809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10399999999899 and 10399999999908.

It is not an unprimeable number, because it can be changed into a prime (10400000000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1899100 + ... + 4940301.

It is an arithmetic number, because the mean of its divisors is an integer number (869561570280).

Almost surely, 210400000000001 is an apocalyptic number.

It is an amenable number.

10400000000001 is a deficient number, since it is larger than the sum of its proper divisors (3512985124479).

10400000000001 is a wasteful number, since it uses less digits than its factorization.

10400000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841096.

The product of its (nonzero) digits is 4, while the sum is 6.

The spelling of 10400000000001 in words is "ten trillion, four hundred billion, one", and thus it is an aban number.

Divisors: 1 3 389 1167 1303 3909 506867 1520601 6839401 20518203 2660526989 7981580967 8911739503 26735218509 3466666666667 10400000000001