Search a number
-
+
1024113111054 = 231143212496719
BaseRepresentation
bin11101110011100011110…
…01011111000000001110
310121220102012111101101020
432321301321133000032
5113234340424023204
62102245430055010
7133663322546235
oct16716171370016
93556365441336
101024113111054
11365362175150
121465914aa466
137575bb492a7
14377d2ac7b1c
151b98d64bbd9
hexee71e5f00e

1024113111054 has 96 divisors (see below), whose sum is σ = 2289772800000. Its totient is φ = 302832391680.

The previous prime is 1024113111041. The next prime is 1024113111139. The reversal of 1024113111054 is 4501113114201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152417107 + ... + 152423825.

It is an arithmetic number, because the mean of its divisors is an integer number (23851800000).

Almost surely, 21024113111054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024113111054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144886400000).

1024113111054 is an abundant number, since it is smaller than the sum of its proper divisors (1265659688946).

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

1024113111054 is a wasteful number, since it uses less digits than its factorization.

1024113111054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 1024113111054 its reverse (4501113114201), we get a palindrome (5525226225255).

The spelling of 1024113111054 in words is "one trillion, twenty-four billion, one hundred thirteen million, one hundred eleven thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1249 1419 1849 2498 2838 3698 3747 5547 6719 7494 11094 13438 13739 20157 20339 27478 40314 40678 41217 53707 61017 73909 82434 107414 122034 147818 161121 221727 288917 322242 443454 577834 590777 866751 1181554 1733502 1772331 2309401 3178087 3544662 4618802 6356174 6928203 8392031 9534261 12423431 13856406 16784062 19068522 24846862 25176093 25403411 37270293 50352186 50806822 74540586 76210233 92312341 136657741 152420466 184624682 273315482 276937023 360857333 409973223 553874046 721714666 819946446 1082571999 2165143998 3969430663 7938861326 11908291989 15516865319 23816583978 31033730638 46550595957 93101191914 170685518509 341371037018 512056555527 1024113111054