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113242240431 = 346167342073
BaseRepresentation
bin110100101110111000…
…0110111010110101111
3101211022001020212010000
41221131300313112233
53323410003143211
6124004530115343
711116151106315
oct1513560672657
9354261225100
10113242240431
1144031324361
1219b4471bb53
13a8a9137c78
1456a3a460b5
152e2ba8b656
hex1a5dc375af

113242240431 has 40 divisors (see below), whose sum is σ = 174504262064. Its totient is φ = 73148676480.

The previous prime is 113242240417. The next prime is 113242240483. The reversal of 113242240431 is 134042242311.

113242240431 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 224 + 0 + 431 = 666.

It is not a de Polignac number, because 113242240431 - 29 = 113242239919 is a prime.

It is a super-2 number, since 2×1132422404312 (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113242240395 and 113242240404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113242240031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160011 + ... + 502083.

Almost surely, 2113242240431 is an apocalyptic number.

113242240431 is a deficient number, since it is larger than the sum of its proper divisors (61262021633).

113242240431 is an equidigital number, since it uses as much as digits as its factorization.

113242240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342213 (or 342204 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 113242240431 its reverse (134042242311), we get a palindrome (247284482742).

The spelling of 113242240431 in words is "one hundred thirteen billion, two hundred forty-two million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 61 67 81 183 201 549 603 1647 1809 4087 4941 5427 12261 36783 110349 331047 342073 1026219 3078657 9235971 20866453 22918891 27707913 62599359 68756673 187798077 206270019 563394231 618810057 1398052351 1690182693 1856430171 4194157053 12582471159 37747413477 113242240431