Search a number
-
+
10243444434201 = 32111722937333667
BaseRepresentation
bin1001010100001111110011…
…0111011110010100011001
31100021021010020212212021100
42111003330313132110121
52320312033233343301
633441435020102013
72105031050033316
oct225037467362431
940237106785240
1010243444434201
11329a2473786a0
1211952b8994909
13593c5000c9a4
14275add033d0d
1512b6c7482286
hex950fcdde519

10243444434201 has 144 divisors (see below), whose sum is σ = 18217231755840. Its totient is φ = 5488992552960.

The previous prime is 10243444434161. The next prime is 10243444434229.

10243444434201 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 4 + 4 + 443 + 4 + 201 = 666.

10243444434201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10243444434201 - 217 = 10243444303129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10243444434281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30532770 + ... + 30866436.

It is an arithmetic number, because the mean of its divisors is an integer number (126508553860).

Almost surely, 210243444434201 is an apocalyptic number.

10243444434201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10243444434201 is a deficient number, since it is larger than the sum of its proper divisors (7973787321639).

10243444434201 is a wasteful number, since it uses less digits than its factorization.

10243444434201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333784 (or 333764 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 1024344 and 4434201, that added together give a palindrome (5458545).

The spelling of 10243444434201 in words is "ten trillion, two hundred forty-three billion, four hundred forty-four million, four hundred thirty-four thousand, two hundred one".

Divisors: 1 3 9 11 17 29 33 37 51 87 99 111 153 187 261 289 319 333 407 493 561 629 867 957 1073 1221 1479 1683 1887 2601 2871 3179 3219 3663 4437 5423 5661 6919 8381 9537 9657 10693 11803 16269 18241 20757 25143 28611 32079 35409 48807 54723 62271 75429 92191 96237 106227 117623 164169 200651 276573 310097 333667 352869 601953 829719 930291 1001001 1058607 1805859 2790873 3003003 3411067 3670337 5672339 9676343 10233201 11011011 12345679 17017017 29029029 30699603 33033033 37037037 51051051 62395729 87087087 96429763 106439773 111111111 135802469 164497831 187187187 209876543 289289289 319319319 358024691 407407407 493493493 561561561 629629629 867867867 957957957 1060727393 1074074073 1222222221 1480480479 1809476141 1888888887 2308641973 2796463127 3182182179 3222222219 3567901231 3938271601 5428428423 6086419747 6925925919 8389389381 9546546537 10703703693 11814814803 16285285269 18259259241 20777777757 25168168143 30761094397 32111111079 35444444409 39246913541 54777777723 66950617217 92283283191 103469135699 117740740623 200851851651 276849849573 310407407097 353222221869 602555554953 931222221291 1138160492689 3414481478067 10243444434201