Search a number
-
+
11314431236100 = 22352245171538311
BaseRepresentation
bin1010010010100101100010…
…1001111001100000000100
31111001122112011111110100110
42210221120221321200010
52440333423344023400
640021440012113020
72245304103453426
oct244513051714004
944048464443313
1011314431236100
113672472514513
121328990165770
13640c3bcbb905
142b189b166816
151494aac7ee50
hexa4a58a79804

11314431236100 has 72 divisors (see below), whose sum is σ = 32737777578688. Its totient is φ = 3017056636800.

The previous prime is 11314431236051. The next prime is 11314431236111. The reversal of 11314431236100 is 163213441311.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 6585945 + ... + 8124255.

Almost surely, 211314431236100 is an apocalyptic number.

11314431236100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314431236100 is an abundant number, since it is smaller than the sum of its proper divisors (21423346342588).

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

11314431236100 is a wasteful number, since it uses less digits than its factorization.

11314431236100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562845 (or 1562838 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 11314431236100 its reverse (163213441311), we get a palindrome (11477644677411).

The spelling of 11314431236100 in words is "eleven trillion, three hundred fourteen billion, four hundred thirty-one million, two hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 24517 49034 73551 98068 122585 147102 245170 294204 367755 490340 612925 735510 1225850 1471020 1538311 1838775 2451700 3076622 3677550 4614933 6153244 7355100 7691555 9229866 15383110 18459732 23074665 30766220 38457775 46149330 76915550 92298660 115373325 153831100 230746650 461493300 37714770787 75429541574 113144312361 150859083148 188573853935 226288624722 377147707870 452577249444 565721561805 754295415740 942869269675 1131443123610 1885738539350 2262886247220 2828607809025 3771477078700 5657215618050 11314431236100