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112321111122 = 2321137131117037
BaseRepresentation
bin110100010011011011…
…1000010010001010010
3101201220211222122020200
41220212313002101102
53320013201023442
6123333303120030
711054264456163
oct1504667022122
9351824878220
10112321111122
11436a9380270
1219928143016
13a79035413c
14561758976a
152dc5c8934c
hex1a26dc2452

112321111122 has 96 divisors (see below), whose sum is σ = 274745300544. Its totient is φ = 32863708800.

The previous prime is 112321111121. The next prime is 112321111141. The reversal of 112321111122 is 221111123211.

It is a happy number.

112321111122 is a `hidden beast` number, since 112 + 321 + 111 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112321111095 and 112321111104.

It is not an unprimeable number, because it can be changed into a prime (112321111121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901188 + ... + 1018224.

It is an arithmetic number, because the mean of its divisors is an integer number (2861930214).

Almost surely, 2112321111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112321111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137372650272).

112321111122 is an abundant number, since it is smaller than the sum of its proper divisors (162424189422).

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

112321111122 is a wasteful number, since it uses less digits than its factorization.

112321111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117224 (or 117221 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 112321111122 its reverse (221111123211), we get a palindrome (333432234333).

The spelling of 112321111122 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 131 198 222 262 333 393 407 666 786 814 1179 1221 1441 2358 2442 2882 3663 4323 4847 7326 8646 9694 12969 14541 25938 29082 43623 53317 87246 106634 117037 159951 234074 319902 351111 479853 702222 959706 1053333 1287407 2106666 2574814 3862221 4330369 7724442 8660738 11586663 12991107 15331847 23173326 25982214 30663694 38973321 45995541 47634059 77946642 91991082 95268118 137986623 142902177 168650317 275973246 285804354 337300634 428706531 505950951 567278339 857413062 1011901902 1134556678 1517852853 1701835017 3035705706 3403670034 5105505051 6240061729 10211010102 12480123458 18720185187 37440370374 56160555561 112321111122