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10240004201 = 713111166853
BaseRepresentation
bin10011000100101101…
…00001000001101001
3222102122101002222212
421202112201001221
5131432420113301
64412034454505
7511520412440
oct114226410151
928378332885
1010240004201
114385240799
121b99434435
13c726401ab
146d1d99d57
153edeba4bb
hex2625a1069

10240004201 has 8 divisors (see below), whose sum is σ = 11792197824. Its totient is φ = 8710144560.

The previous prime is 10240004171. The next prime is 10240004261.

10240004201 is nontrivially palindromic in base 10.

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 10240004201 - 222 = 10235809897 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 (10240004261) 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 7 ways as a sum of consecutive naturals, for example, 5582510 + ... + 5584343.

It is an arithmetic number, because the mean of its divisors is an integer number (1474024728).

Almost surely, 210240004201 is an apocalyptic number.

It is an amenable number.

10240004201 is a deficient number, since it is larger than the sum of its proper divisors (1552193623).

10240004201 is a wasteful number, since it uses less digits than its factorization.

10240004201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166991.

The product of its (nonzero) digits is 64, while the sum is 14.

It can be divided in two parts, 1024000 and 4201, that added together give a palindrome (1028201).

The spelling of 10240004201 in words is "ten billion, two hundred forty million, four thousand, two hundred one".

Divisors: 1 7 131 917 11166853 78167971 1462857743 10240004201