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123112000111 = 2310354196059
BaseRepresentation
bin111001010101000001…
…1000000101001101111
3102202202212221121002211
41302222003000221233
54004113133000421
6132320141231251
711615554510012
oct1625203005157
9382685847084
10123112000111
1148236572941
121ba39b62527
13b7bcb54459
145d5c785379
1533082be9e1
hex1caa0c0a6f

123112000111 has 16 divisors (see below), whose sum is σ = 129953041920. Its totient is φ = 116399242080.

The previous prime is 123112000051. The next prime is 123112000117. The reversal of 123112000111 is 111000211321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123112000111 - 215 = 123111967343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123112000091 and 123112000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123112000117) 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, 1233600 + ... + 1329658.

It is an arithmetic number, because the mean of its divisors is an integer number (8122065120).

Almost surely, 2123112000111 is an apocalyptic number.

123112000111 is a deficient number, since it is larger than the sum of its proper divisors (6841041809).

123112000111 is a wasteful number, since it uses less digits than its factorization.

123112000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96726.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 123112000111 its reverse (111000211321), we get a palindrome (234112211432).

The spelling of 123112000111 in words is "one hundred twenty-three billion, one hundred twelve million, one hundred eleven", and thus it is an aban number.

Divisors: 1 23 103 541 2369 12443 55723 96059 1281629 2209357 9894077 51967919 227563771 1195262137 5352695657 123112000111