Search a number
-
+
11323230103140 = 223510113731360903
BaseRepresentation
bin1010010011000110010100…
…0110111010011001100100
31111002111020101010012210220
42210301211012322121210
52441004433401300030
640025453050244340
72246035124551134
oct244614506723144
944074211105726
1011323230103140
11367617821955a
12132a626a266b0
13641a11ba9007
142b2093982ac4
1514982347ba10
hexa4c651ba664

11323230103140 has 96 divisors (see below), whose sum is σ = 32042299597056. Its totient is φ = 2987452070400.

The previous prime is 11323230103127. The next prime is 11323230103189. The reversal of 11323230103140 is 4130103232311.

It is a self number, because there is not a number n which added to its sum of digits gives 11323230103140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7639929 + ... + 9000831.

It is an arithmetic number, because the mean of its divisors is an integer number (333773954136).

Almost surely, 211323230103140 is an apocalyptic number.

11323230103140 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 11323230103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16021149798528).

11323230103140 is an abundant number, since it is smaller than the sum of its proper divisors (20719069493916).

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

11323230103140 is a wasteful number, since it uses less digits than its factorization.

11323230103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362389 (or 1362387 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11323230103140 its reverse (4130103232311), we get a palindrome (15453333335451).

The spelling of 11323230103140 in words is "eleven trillion, three hundred twenty-three billion, two hundred thirty million, one hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1373 1515 2020 2746 3030 4119 5492 6060 6865 8238 13730 16476 20595 27460 41190 82380 138673 277346 416019 554692 693365 832038 1360903 1386730 1664076 2080095 2721806 2773460 4082709 4160190 5443612 6804515 8165418 8320380 13609030 16330836 20413545 27218060 40827090 81654180 137451203 274902406 412353609 549804812 687256015 824707218 1374512030 1649414436 1868519819 2061768045 2749024060 3737039638 4123536090 5605559457 7474079276 8247072180 9342599095 11211118914 18685198190 22422237828 28027797285 37370396380 56055594570 112111189140 188720501719 377441003438 566161505157 754882006876 943602508595 1132323010314 1887205017190 2264646020628 2830807525785 3774410034380 5661615051570 11323230103140