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112131200201 = 1767929105971
BaseRepresentation
bin110100001101110001…
…0100101010011001001
3101201102121122011102212
41220123202211103021
53314121041401301
6123302400434505
711046500322056
oct1503342452311
9351377564385
10112131200201
1143611159399
1219894618a35
13a75cbc0107
1455da27202d
152db42744bb
hex1a1b8a54c9

112131200201 has 16 divisors (see below), whose sum is σ = 120630047040. Its totient is φ = 103847208960.

The previous prime is 112131200197. The next prime is 112131200249. The reversal of 112131200201 is 102002131211.

It is a cyclic number.

It is not a de Polignac number, because 112131200201 - 22 = 112131200197 is a prime.

It is a super-3 number, since 3×1121312002013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112131202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005146 + ... + 1111116.

It is an arithmetic number, because the mean of its divisors is an integer number (7539377940).

Almost surely, 2112131200201 is an apocalyptic number.

It is an amenable number.

112131200201 is a deficient number, since it is larger than the sum of its proper divisors (8498846839).

112131200201 is a wasteful number, since it uses less digits than its factorization.

112131200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106984.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 112131200201 its reverse (102002131211), we get a palindrome (214133331412).

The spelling of 112131200201 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred thousand, two hundred one".

Divisors: 1 17 67 929 1139 15793 62243 105971 1058131 1801507 7100057 98447059 120700969 1673600003 6595952953 112131200201