Search a number
-
+
103440231104 = 2675910138747
BaseRepresentation
bin110000001010110000…
…1001010101011000000
3100212222221001012010112
41200111201022223000
53143321144343404
6115304135050452
710321226312540
oct1402541125300
9325887035115
10103440231104
113a96134a701
1218069b10a28
1399a6480352
145013d01320
152a5628c56e
hex181584aac0

103440231104 has 112 divisors (see below), whose sum is σ = 240931964160. Its totient is φ = 43147545600.

The previous prime is 103440231101. The next prime is 103440231113. The reversal of 103440231104 is 401132044301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 103440231104.

It is not an unprimeable number, because it can be changed into a prime (103440231101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2650259 + ... + 2689005.

Almost surely, 2103440231104 is an apocalyptic number.

103440231104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103440231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120465982080).

103440231104 is an abundant number, since it is smaller than the sum of its proper divisors (137491733056).

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

103440231104 is a wasteful number, since it uses less digits than its factorization.

103440231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38926 (or 38916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 103440231104 its reverse (401132044301), we get a palindrome (504572275405).

The spelling of 103440231104 in words is "one hundred three billion, four hundred forty million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 101 112 118 202 224 236 404 413 448 472 707 808 826 944 1414 1616 1652 1888 2828 3232 3304 3776 5656 5959 6464 6608 11312 11918 13216 22624 23836 26432 38747 41713 45248 47672 77494 83426 95344 154988 166852 190688 271229 309976 333704 381376 542458 619952 667408 1084916 1239904 1334816 2169832 2286073 2479808 2669632 3913447 4339664 4572146 7826894 8679328 9144292 15653788 16002511 17358656 18288584 27394129 31307576 32005022 36577168 54788258 62615152 64010044 73154336 109576516 125230304 128020088 146308672 219153032 230893373 250460608 256040176 438306064 461786746 512080352 876612128 923573492 1024160704 1616253611 1753224256 1847146984 3232507222 3694293968 6465014444 7388587936 12930028888 14777175872 25860057776 51720115552 103440231104