Search a number
-
+
11012122540614 = 2313315717330757
BaseRepresentation
bin1010000000111111010110…
…1001101111101001000110
31102222202012202100112210010
42200033311221233221012
52420410311332244424
635230522123411050
72214412443112326
oct240176551575106
942882182315703
1011012122540614
1135662400a8118
12129a281683a86
1361b591a92000
142a0dbd571286
151416b5a83229
hexa03f5a6fa46

11012122540614 has 128 divisors (see below), whose sum is σ = 24150305612160. Its totient is φ = 3347193687552.

The previous prime is 11012122540613. The next prime is 11012122540619. The reversal of 11012122540614 is 41604522121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012122540613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358020924 + ... + 358051680.

It is an arithmetic number, because the mean of its divisors is an integer number (188674262595).

Almost surely, 211012122540614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012122540614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075152806080).

11012122540614 is an abundant number, since it is smaller than the sum of its proper divisors (13138183071546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11012122540614 is a wasteful number, since it uses less digits than its factorization.

11012122540614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31131 (or 31105 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 11012122540614 its reverse (41604522121011), we get a palindrome (52616644661625).

The spelling of 11012122540614 in words is "eleven trillion, twelve billion, one hundred twenty-two million, five hundred forty thousand, six hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 157 169 173 314 338 346 471 507 519 942 1014 1038 2041 2197 2249 4082 4394 4498 6123 6591 6747 12246 13182 13494 26533 27161 29237 30757 53066 54322 58474 61514 79599 81483 87711 92271 159198 162966 175422 184542 344929 353093 380081 399841 689858 706186 760162 799682 1034787 1059279 1140243 1199523 2069574 2118558 2280486 2399046 4590209 4828849 5197933 5320961 9180418 9657698 10395866 10641922 13770627 14486547 15593799 15962883 27541254 28973094 31187598 31925766 59672717 62775037 67573129 69172493 119345434 125550074 135146258 138344986 179018151 188325111 202719387 207517479 358036302 376650222 405438774 415034958 816075481 835390877 899242409 1632150962 1670781754 1798484818 2448226443 2506172631 2697727227 4896452886 5012345262 5395454454 10608981253 10860081401 11690151317 21217962506 21720162802 23380302634 31826943759 32580244203 35070453951 63653887518 65160488406 70140907902 141181058213 282362116426 423543174639 847086349278 1835353756769 3670707513538 5506061270307 11012122540614