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113224141332 = 22337043148853
BaseRepresentation
bin110100101110010101…
…1110100101000010100
3101211020210012022211000
41221130223310220110
53323340340010312
6124003042143300
711115541215261
oct1513453645024
9354223168730
10113224141332
1144022092225
1219b3a651b30
13a8a546bb43
1456a1494268
152e2a1b3adc
hex1a5caf4a14

113224141332 has 48 divisors (see below), whose sum is σ = 293587721280. Its totient is φ = 37735768224.

The previous prime is 113224141313. The next prime is 113224141351. The reversal of 113224141332 is 233141422311.

113224141332 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 241 + 413 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (113224141313) and next prime (113224141351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113224141296 and 113224141305.

It is a congruent number.

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, 686218 + ... + 835070.

It is an arithmetic number, because the mean of its divisors is an integer number (6116410860).

Almost surely, 2113224141332 is an apocalyptic number.

113224141332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113224141332 is an abundant number, since it is smaller than the sum of its proper divisors (180363579948).

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

113224141332 is a wasteful number, since it uses less digits than its factorization.

113224141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155909 (or 155901 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 113224141332 its reverse (233141422311), we get a palindrome (346365563643).

The spelling of 113224141332 in words is "one hundred thirteen billion, two hundred twenty-four million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 7043 14086 21129 28172 42258 63387 84516 126774 148853 190161 253548 297706 380322 446559 595412 760644 893118 1339677 1786236 2679354 4019031 5358708 8038062 16076124 1048371679 2096743358 3145115037 4193486716 6290230074 9435345111 12580460148 18870690222 28306035333 37741380444 56612070666 113224141332