Search a number
-
+
10014230221413 = 3112937547683757
BaseRepresentation
bin1001000110111001111010…
…1000101001001001100101
31022110100110220220101210220
42101232132220221021211
52303033120414041123
633144250204034553
72052334650260265
oct221563650511145
938410426811726
1010014230221413
113211013986a90
1211589a9532a59
13578451373392
142689970137a5
1512575e39ece3
hex91b9ea29265

10014230221413 has 128 divisors (see below), whose sum is σ = 15547191736320. Its totient is φ = 5675306757120.

The previous prime is 10014230221327. The next prime is 10014230221423. The reversal of 10014230221413 is 31412203241001.

It is not a de Polignac number, because 10014230221413 - 28 = 10014230221157 is a prime.

It is a super-2 number, since 2×100142302214132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014230221423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13228837431 + ... + 13228838187.

It is an arithmetic number, because the mean of its divisors is an integer number (121462435440).

Almost surely, 210014230221413 is an apocalyptic number.

It is an amenable number.

10014230221413 is a deficient number, since it is larger than the sum of its proper divisors (5532961514907).

10014230221413 is a wasteful number, since it uses less digits than its factorization.

10014230221413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10014230221413 its reverse (31412203241001), we get a palindrome (41426433462414).

The spelling of 10014230221413 in words is "ten trillion, fourteen billion, two hundred thirty million, two hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 11 29 33 37 87 111 319 407 547 683 757 957 1073 1221 1641 2049 2271 3219 6017 7513 8327 11803 15863 18051 19807 20239 21953 22539 24981 25271 28009 35409 47589 59421 60717 65859 75813 84027 174493 217877 222629 241483 277981 308099 373601 414079 517031 523479 586931 653631 667887 724449 732859 812261 833943 924297 1120803 1242237 1551093 1760793 2198577 2436783 4109611 4554869 5687341 6456241 8061449 8934871 10834429 12008291 12328833 13664607 13823237 14993899 15320923 17062023 19130147 19368723 24184347 26804613 32503287 36024873 41469711 44981697 45962769 57390441 119178719 132091201 152055607 164932889 168530153 210431617 282815957 357536157 396273603 400873873 444306767 456166821 494798667 505590459 554774263 631294851 848447871 1202621619 1332920301 1664322789 3110975527 4409612603 4887374437 6102516893 8201662753 9332926581 10464190409 13228837809 14662123311 18307550679 24604988259 31392571227 90218290283 115106094499 270654870849 303461521861 345318283497 910384565583 3338076740471 10014230221413