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10240433404201 = 7111316883605947
BaseRepresentation
bin1001010100000100100101…
…1001010011100100101001
31100020222100102002200121201
42111001021121103210221
52320234401422413301
633440220135204201
72104563325511230
oct225011131234451
940228312080551
1010240433404201
113298a41764250
1211947b8516661
13593890265b30
142758d5199b17
1512b59ce60201
hex95049653929

10240433404201 has 32 divisors (see below), whose sum is σ = 13750230187008. Its totient is φ = 7365297867840.

The previous prime is 10240433404199. The next prime is 10240433404219.

10240433404201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10240433404201 - 21 = 10240433404199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10240433404201.

It is not an unprimeable number, because it can be changed into a prime (10240433405201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16596910 + ... + 17202856.

It is an arithmetic number, because the mean of its divisors is an integer number (429694693344).

Almost surely, 210240433404201 is an apocalyptic number.

10240433404201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10240433404201 is a deficient number, since it is larger than the sum of its proper divisors (3509796782807).

10240433404201 is a wasteful number, since it uses less digits than its factorization.

10240433404201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622861.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 1024043 and 3404201, that added together give a palindrome (4428244).

The spelling of 10240433404201 in words is "ten trillion, two hundred forty billion, four hundred thirty-three million, four hundred four thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 1001 16883 118181 185713 219479 605947 1299991 1536353 2414269 4241629 6665417 7877311 16899883 46657919 55141177 86650421 606552947 10230203201 71611422407 112532235211 132992641613 787725646477 930948491291 1462919057743 10240433404201