Search a number
-
+
10010555001117 = 32118313938922531
BaseRepresentation
bin1001000110101100001110…
…0100110010100100011101
31022102222222210022212100200
42101223003210302210131
52303003104040013432
633142441355214113
72052144612360306
oct221530344624435
938388883285320
1010010555001117
11320a4a8361640
121158142747339
13577cb6b17608
14268728c837ad
151255e68d0a7c
hex91ac393291d

10010555001117 has 96 divisors (see below), whose sum is σ = 16121159308800. Its totient is φ = 5935223894400.

The previous prime is 10010555001113. The next prime is 10010555001203. The reversal of 10010555001117 is 71110055501001.

It is a happy number.

10010555001117 is a `hidden beast` number, since 1 + 0 + 0 + 105 + 550 + 0 + 1 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 10010555001117 - 22 = 10010555001113 is a prime.

It is a super-2 number, since 2×100105550011172 (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 (10010555001113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444290142 + ... + 444312672.

It is an arithmetic number, because the mean of its divisors is an integer number (167928742800).

Almost surely, 210010555001117 is an apocalyptic number.

It is an amenable number.

10010555001117 is a deficient number, since it is larger than the sum of its proper divisors (6110604307683).

10010555001117 is a wasteful number, since it uses less digits than its factorization.

10010555001117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23159 (or 23156 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 27.

The spelling of 10010555001117 in words is "ten trillion, ten billion, five hundred fifty-five million, one thousand, one hundred seventeen".

Divisors: 1 3 9 11 33 83 99 139 249 389 417 747 913 1167 1251 1529 2739 3501 4279 4587 8217 11537 12837 13761 22531 32287 34611 38511 54071 67593 96861 103833 126907 162213 202779 247841 290583 355157 380721 486639 594781 743523 1065471 1142163 1784343 1870073 2230569 3131809 3196413 4487893 5353029 5610219 8764559 9395427 13463679 16830657 20570803 26293677 28186281 34449899 40391037 49366823 61712409 78881031 96410149 103349697 148100469 185137227 259940147 289230447 310049091 444301407 727458397 779820441 867691341 1218273701 2182375191 2339461323 2859341617 3654821103 6547125573 8002042367 8578024851 10964463309 13401010711 24006127101 25734074553 40203032133 72018381303 101116717183 120609096399 303350151549 910050454647 1112283889013 3336851667039 10010555001117