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10413211231401 = 31110123313408909
BaseRepresentation
bin1001011110001000001111…
…0000011010010010101001
31100212111022121001201021220
42113202003300122102221
52331102224033401101
634051432503452253
72123221040016036
oct227420360322251
940774277051256
1010413211231401
1133552442a5080
121202197457089
135a6c66855a44
14280005b2438d
15130d115b5636
hex97883c1a4a9

10413211231401 has 32 divisors (see below), whose sum is σ = 15362105466240. Its totient is φ = 6221733312000.

The previous prime is 10413211231369. The next prime is 10413211231429.

10413211231401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10413211231401 - 25 = 10413211231369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10413211231441) 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 31 ways as a sum of consecutive naturals, for example, 5927866 + ... + 7481043.

It is an arithmetic number, because the mean of its divisors is an integer number (480065795820).

Almost surely, 210413211231401 is an apocalyptic number.

10413211231401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10413211231401 is a deficient number, since it is larger than the sum of its proper divisors (4948894234839).

10413211231401 is a wasteful number, since it uses less digits than its factorization.

10413211231401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13409257.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1041321 and 1231401, that added together give a palindrome (2272722).

The spelling of 10413211231401 in words is "ten trillion, four hundred thirteen billion, two hundred eleven million, two hundred thirty-one thousand, four hundred one".

Divisors: 1 3 11 33 101 233 303 699 1111 2563 3333 7689 23533 70599 258863 776589 13408909 40226727 147497999 442493997 1354299809 3124275797 4062899427 9372827391 14897297899 34367033767 44691893697 103101101301 315551855497 946655566491 3471070410467 10413211231401