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112112110012 = 22729109211621
BaseRepresentation
bin110100001101001100…
…1110000100110111100
3101201101021201021121211
41220122121300212330
53314101200010022
6123300435334204
711046146132410
oct1503231604674
9351337637554
10112112110012
11436013aa681
121988a151364
13a758c67b46
1455d7902d40
152db2752e77
hex1a1a6709bc

112112110012 has 72 divisors (see below), whose sum is σ = 234123795360. Its totient is φ = 45961655040.

The previous prime is 112112110009. The next prime is 112112110031. The reversal of 112112110012 is 210011211211.

It is a happy number.

It is a super-2 number, since 2×1121121100122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112112109974 and 112112110001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9641562 + ... + 9653182.

It is an arithmetic number, because the mean of its divisors is an integer number (3251719380).

Almost surely, 2112112110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117061897680).

112112110012 is an abundant number, since it is smaller than the sum of its proper divisors (122011685348).

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

112112110012 is a wasteful number, since it uses less digits than its factorization.

112112110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879 (or 11768 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112112110012 its reverse (210011211211), we get a palindrome (322123321223).

The spelling of 112112110012 in words is "one hundred twelve billion, one hundred twelve million, one hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 109 116 203 218 406 436 763 812 1526 3052 3161 6322 11621 11881 12644 22127 23242 23762 44254 46484 47524 81347 83167 88508 162694 166334 325388 332668 337009 344549 674018 689098 1266689 1348036 1378196 2359063 2411843 2533378 4718126 4823686 5066756 8866823 9436252 9647372 17733646 35467292 36733981 73467962 138069101 146935924 257137867 276138202 514275734 552276404 966483707 1028551468 1932967414 3865934828 4004003929 8008007858 16016015716 28028027503 56056055006 112112110012