Search a number
-
+
1031100110118 = 23213172271141853
BaseRepresentation
bin11110000000100100101…
…10110001010100100110
310122120110010202201020100
433000102112301110212
5113343143112010433
62105403021444530
7134331423220011
oct17002226612446
93576403681210
101031100110118
11368318149a41
12147a01410746
137630354c770
1437c96a1c378
151bc4bc48b13
hexf0125b1526

1031100110118 has 96 divisors (see below), whose sum is σ = 2558648173536. Its totient is φ = 297283451904.

The previous prime is 1031100110111. The next prime is 1031100110123. The reversal of 1031100110118 is 8110110011301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1031100110118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031100110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332080 + ... + 1473932.

It is an arithmetic number, because the mean of its divisors is an integer number (26652585141).

Almost surely, 21031100110118 is an apocalyptic number.

1031100110118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031100110118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279324086768).

1031100110118 is an abundant number, since it is smaller than the sum of its proper divisors (1527548063418).

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

1031100110118 is a wasteful number, since it uses less digits than its factorization.

1031100110118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142118 (or 1142115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 1031100110118 its reverse (8110110011301), we get a palindrome (9141210121419).

The spelling of 1031100110118 in words is "one trillion, thirty-one billion, one hundred million, one hundred ten thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 227 234 306 442 454 663 681 1326 1362 1989 2043 2951 3859 3978 4086 5902 7718 8853 11577 17706 23154 26559 34731 50167 53118 69462 100334 150501 301002 451503 903006 1141853 2283706 3425559 6851118 10276677 14844089 19411501 20553354 29688178 38823002 44532267 58234503 89064534 116469006 133596801 174703509 252349513 259200631 267193602 349407018 504699026 518401262 757048539 777601893 1514097078 1555203786 2271145617 2332805679 3369608203 4406410727 4542291234 4665611358 6739216406 8812821454 10108824609 13219232181 20217649218 26438464362 30326473827 39657696543 57283339451 60652947654 79315393086 114566678902 171850018353 343700036706 515550055059 1031100110118