Search a number
-
+
11312100324 = 2232744889287
BaseRepresentation
bin10101000100100000…
…01111001111100100
31002012100201020101200
422202100033033210
5141131344202244
65110253322500
7550216160220
oct124220171744
932170636350
1011312100324
114885427448
122238496430
1310b37a0cb5
14794513780
1546318d669
hex2a240f3e4

11312100324 has 36 divisors (see below), whose sum is σ = 32679401664. Its totient is φ = 3232028592.

The previous prime is 11312100277. The next prime is 11312100377. The reversal of 11312100324 is 42300121311.

11312100324 is a `hidden beast` number, since 1 + 131 + 210 + 0 + 324 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×113121003242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11312100297 and 11312100306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22444392 + ... + 22444895.

Almost surely, 211312100324 is an apocalyptic number.

11312100324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11312100324 is an abundant number, since it is smaller than the sum of its proper divisors (21367301340).

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

11312100324 is a wasteful number, since it uses less digits than its factorization.

11312100324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44889304 (or 44889299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312100324 its reverse (42300121311), we get a palindrome (53612221635).

The spelling of 11312100324 in words is "eleven billion, three hundred twelve million, one hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 44889287 89778574 134667861 179557148 269335722 314225009 404003583 538671444 628450018 808007166 942675027 1256900036 1616014332 1885350054 2828025081 3770700108 5656050162 11312100324