Search a number
-
+
1103140131324 = 2237119711229531
BaseRepresentation
bin10000000011011000010…
…001101001000111111100
310220110101201202222002220
4100003120101221013330
5121033212333200244
62202435305245340
7142461561255240
oct20033021510774
93813351688086
101103140131324
11395925933150
12159967493850
138004451484a
143b56c54a420
151da664c5319
hex100d84691fc

1103140131324 has 96 divisors (see below), whose sum is σ = 3212442519552. Its totient is φ = 286234584000.

The previous prime is 1103140131307. The next prime is 1103140131397. The reversal of 1103140131324 is 4231310413011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1103140131294 and 1103140131303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 282439 + ... + 1511969.

It is an arithmetic number, because the mean of its divisors is an integer number (33462942912).

Almost surely, 21103140131324 is an apocalyptic number.

1103140131324 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 1103140131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606221259776).

1103140131324 is an abundant number, since it is smaller than the sum of its proper divisors (2109302388228).

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

1103140131324 is a wasteful number, since it uses less digits than its factorization.

1103140131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230527 (or 1230525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1103140131324 its reverse (4231310413011), we get a palindrome (5334450544335).

The spelling of 1103140131324 in words is "one trillion, one hundred three billion, one hundred forty million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 971 1942 2913 3884 5826 6797 10681 11652 13594 20391 21362 27188 32043 40782 42724 64086 74767 81564 128172 149534 224301 299068 448602 897204 1229531 2459062 3688593 4918124 7377186 8606717 13524841 14754372 17213434 25820151 27049682 34426868 40574523 51640302 54099364 81149046 94673887 103280604 162298092 189347774 284021661 378695548 568043322 1136086644 1193874601 2387749202 3581623803 4775498404 7163247606 8357122207 13132620611 14326495212 16714244414 25071366621 26265241222 33428488828 39397861833 50142733242 52530482444 78795723666 91928344277 100285466484 157591447332 183856688554 275785032831 367713377108 551570065662 1103140131324