Search a number
-
+
112522104 = 23321983991
BaseRepresentation
bin1101011010011…
…11001101111000
321211201201022100
412231033031320
5212301201404
615055423400
72534264532
oct655171570
9254651270
10112522104
1158574582
1231824b60
131a409336
1410d30852
159d29d39
hex6b4f378

112522104 has 96 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 35069760.

The previous prime is 112522093. The next prime is 112522121. The reversal of 112522104 is 401225211.

It is a super-2 number, since 2×1125221042 = 25322447777173632, which contains 22 as substring.

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

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, 113049 + ... + 114039.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2112522104 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 112522104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

112522104 is an abundant number, since it is smaller than the sum of its proper divisors (212457096).

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

112522104 is a wasteful number, since it uses less digits than its factorization.

112522104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112522104 is about 10607.6436591733. The cubic root of 112522104 is about 482.7763067914.

Adding to 112522104 its reverse (401225211), we get a palindrome (513747315).

The spelling of 112522104 in words is "one hundred twelve million, five hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 83 114 152 166 171 228 249 332 342 456 498 664 684 747 991 996 1368 1494 1577 1982 1992 2973 2988 3154 3964 4731 5946 5976 6308 7928 8919 9462 11892 12616 14193 17838 18829 18924 23784 28386 35676 37658 37848 56487 56772 71352 75316 82253 112974 113544 150632 164506 169461 225948 246759 329012 338922 451896 493518 658024 677844 740277 987036 1355688 1480554 1562807 1974072 2961108 3125614 4688421 5922216 6251228 9376842 12502456 14065263 18753684 28130526 37507368 56261052 112522104