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10432441441201 = 1321723315092849
BaseRepresentation
bin1001011111001111110111…
…1101110101101110110001
31100221022221210002120220111
42113303331331311232301
52331411120002104301
634104333013541321
72124501424060453
oct227637575655661
940838853076814
1010432441441201
11336241224734a
121205a63644841
135a8a0c8c7100
14280d0baa62d3
15131589975551
hex97cfdf75bb1

10432441441201 has 48 divisors (see below), whose sum is σ = 12883851187200. Its totient is φ = 8389754081280.

The previous prime is 10432441441199. The next prime is 10432441441207. The reversal of 10432441441201 is 10214414423401.

It is not a de Polignac number, because 10432441441201 - 21 = 10432441441199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10432441441207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497976 + ... + 4594873.

It is an arithmetic number, because the mean of its divisors is an integer number (268413566400).

Almost surely, 210432441441201 is an apocalyptic number.

It is an amenable number.

10432441441201 is a deficient number, since it is larger than the sum of its proper divisors (2451409745999).

10432441441201 is a wasteful number, since it uses less digits than its factorization.

10432441441201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092946 (or 5092933 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 10432441441201 its reverse (10214414423401), we get a palindrome (20646855864602).

The spelling of 10432441441201 in words is "ten trillion, four hundred thirty-two billion, four hundred forty-one million, four hundred forty-one thousand, two hundred one".

Divisors: 1 13 17 23 31 169 221 299 391 403 527 713 2873 3887 5083 5239 6851 9269 12121 66079 89063 120497 157573 2048449 5092849 66207037 86578433 117135527 157878319 860691481 1125519629 1522761851 1991303959 2052418147 2683931423 3631201337 14631755177 19795904063 25886951467 26681435911 34891108499 47205617381 61730422729 336530369071 453584410487 613673025953 802495495477 10432441441201