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10240400404201 = 1144918043114913
BaseRepresentation
bin1001010100000100011101…
…1011011010111011101001
31100020222021010000010010111
42111001013123122323221
52320234320000413301
633440213000014321
72104562445146302
oct225010733327351
940228233003114
1010240400404201
113298a25074920
1211947a94613a1
135938864804c6
142758d0a497a9
1512b59a0e2551
hex950476daee9

10240400404201 has 16 divisors (see below), whose sum is σ = 11196944366400. Its totient is φ = 9288125521920.

The previous prime is 10240400404181. The next prime is 10240400404217.

10240400404201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10240400404201 - 215 = 10240400371433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10240400404231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89056921 + ... + 89171833.

It is an arithmetic number, because the mean of its divisors is an integer number (699809022900).

Almost surely, 210240400404201 is an apocalyptic number.

10240400404201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10240400404201 is a deficient number, since it is larger than the sum of its proper divisors (956543962199).

10240400404201 is a wasteful number, since it uses less digits than its factorization.

10240400404201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133416.

The product of its (nonzero) digits is 1024, while the sum is 22.

It can be divided in two parts, 10240400 and 404201, that added together give a palindrome (10644601).

The spelling of 10240400404201 in words is "ten trillion, two hundred forty billion, four hundred million, four hundred four thousand, two hundred one".

Divisors: 1 11 449 4939 18043 114913 198473 1264043 8101307 51595937 89114377 567555307 2073375259 22807127849 930945491291 10240400404201