Search a number
-
+
11242372500 = 223254499661
BaseRepresentation
bin10100111100001100…
…01111110110010100
31002000111111200210200
422132012033312110
5141011021410000
65055323020500
7545411406132
oct123606176624
932014450720
1011242372500
11484a031947
12221906a730
1310a21c9328
14789162752
1545beb8500
hex29e18fd94

11242372500 has 90 divisors (see below), whose sum is σ = 35511478002. Its totient is φ = 2997960000.

The previous prime is 11242372451. The next prime is 11242372507. The reversal of 11242372500 is 527324211.

11242372500 is a `hidden beast` number, since 1 + 1 + 242 + 372 + 50 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1203534864 + 10038837636 = 34692^2 + 100194^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242372507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 227331 + ... + 272330.

Almost surely, 211242372500 is an apocalyptic number.

11242372500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242372500 is an abundant number, since it is smaller than the sum of its proper divisors (24269105502).

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

11242372500 is a wasteful number, since it uses less digits than its factorization.

11242372500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499691 (or 499671 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 11242372500 its reverse (527324211), we get a palindrome (11769696711).

The spelling of 11242372500 in words is "eleven billion, two hundred forty-two million, three hundred seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 22500 499661 999322 1498983 1998644 2498305 2997966 4496949 4996610 5995932 7494915 8993898 9993220 12491525 14989830 17987796 22484745 24983050 29979660 37474575 44969490 49966100 62457625 74949150 89938980 112423725 124915250 149898300 187372875 224847450 249830500 312288125 374745750 449694900 562118625 624576250 749491500 936864375 1124237250 1249152500 1873728750 2248474500 2810593125 3747457500 5621186250 11242372500