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112131202331 = 1271011187323
BaseRepresentation
bin110100001101110001…
…0100101110100011011
3101201102121122021100202
41220123202211310123
53314121041433311
6123302400452415
711046500331221
oct1503342456433
9351377567322
10112131202331
114361115aa55
121989461a10b
13a75cbc1085
1455da272b11
152db4274e3b
hex1a1b8a5d1b

112131202331 has 8 divisors (see below), whose sum is σ = 113026596864. Its totient is φ = 111236002920.

The previous prime is 112131202301. The next prime is 112131202363. The reversal of 112131202331 is 133202131211.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112131202331 - 222 = 112127008027 is a prime.

It is a super-4 number, since 4×1121312023314 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112131202301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1240436 + ... + 1327758.

It is an arithmetic number, because the mean of its divisors is an integer number (14128324608).

Almost surely, 2112131202331 is an apocalyptic number.

112131202331 is a deficient number, since it is larger than the sum of its proper divisors (895394533).

112131202331 is a wasteful number, since it uses less digits than its factorization.

112131202331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97561.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 112131202331 its reverse (133202131211), we get a palindrome (245333333542).

The spelling of 112131202331 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 127 10111 87323 1284097 11090021 882922853 112131202331