Search a number
-
+
11140001320 = 2357317125507
BaseRepresentation
bin10100101111111111…
…01110111000101000
31001202100212200221111
422113333232320220
5140303320020240
65041224520104
7543026306650
oct122777567050
931670780844
1011140001320
1147a7270968
1221aa920034
131086c35476
14779715360
15452ee61ea
hex297feee28

11140001320 has 64 divisors (see below), whose sum is σ = 28736311680. Its totient is φ = 3807350016.

The previous prime is 11140001291. The next prime is 11140001339. The reversal of 11140001320 is 2310004111.

It is a self number, because there is not a number n which added to its sum of digits gives 11140001320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26007 + ... + 151513.

It is an arithmetic number, because the mean of its divisors is an integer number (449004870).

Almost surely, 211140001320 is an apocalyptic number.

11140001320 is a gapful number since it is divisible by the number (10) 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 11140001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368155840).

11140001320 is an abundant number, since it is smaller than the sum of its proper divisors (17596310360).

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

11140001320 is a wasteful number, since it uses less digits than its factorization.

11140001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125842 (or 125838 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11140001320 its reverse (2310004111), we get a palindrome (13450005431).

The spelling of 11140001320 in words is "eleven billion, one hundred forty million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 317 634 1268 1585 2219 2536 3170 4438 6340 8876 11095 12680 17752 22190 44380 88760 125507 251014 502028 627535 878549 1004056 1255070 1757098 2510140 3514196 4392745 5020280 7028392 8785490 17570980 35141960 39785719 79571438 159142876 198928595 278500033 318285752 397857190 557000066 795714380 1114000132 1392500165 1591428760 2228000264 2785000330 5570000660 11140001320