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104111412 = 223191792551
BaseRepresentation
bin1100011010010…
…01110100110100
321020220102000020
412031021310310
5203123031122
614155245140
72402634546
oct615116464
9236812006
10104111412
115384a499
122aa497b0
1318752cb2
14db81696
159217c5c
hex6349d34

104111412 has 48 divisors (see below), whose sum is σ = 257241600. Its totient is φ = 32680800.

The previous prime is 104111407. The next prime is 104111419. The reversal of 104111412 is 214111401.

It is a super-2 number, since 2×1041114122 = 21678372217267488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104111391 and 104111400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104111419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39537 + ... + 42087.

It is an arithmetic number, because the mean of its divisors is an integer number (5359200).

Almost surely, 2104111412 is an apocalyptic number.

104111412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 10203×10204.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104111412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128620800).

104111412 is an abundant number, since it is smaller than the sum of its proper divisors (153130188).

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

104111412 is a wasteful number, since it uses less digits than its factorization.

104111412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 104111412 is about 10203.4999877493. The cubic root of 104111412 is about 470.4348051148.

Adding to 104111412 its reverse (214111401), we get a palindrome (318222813).

The spelling of 104111412 in words is "one hundred four million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 179 228 358 537 716 1074 2148 2551 3401 5102 6802 7653 10203 10204 13604 15306 20406 30612 40812 48469 96938 145407 193876 290814 456629 581628 913258 1369887 1826516 2739774 5479548 8675951 17351902 26027853 34703804 52055706 104111412