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104100012 = 22331997523
BaseRepresentation
bin1100011010001…
…11000010101100
321020212211101000
412031013002230
5203122200022
614155120300
72402556402
oct615070254
9236784330
10104100012
1153841975
122aa43090
131874aa53
14db7b472
1592146ac
hex63470ac

104100012 has 96 divisors (see below), whose sum is σ = 287571200. Its totient is φ = 32472576.

The previous prime is 104099969. The next prime is 104100023. The reversal of 104100012 is 210001401.

It is a happy number.

It is a super-3 number, since 3×1041000123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 104099967 and 104100003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198783 + ... + 199305.

Almost surely, 2104100012 is an apocalyptic number.

104100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143785600).

104100012 is an abundant number, since it is smaller than the sum of its proper divisors (183471188).

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

104100012 is a wasteful number, since it uses less digits than its factorization.

104100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 104100012 is about 10202.9413406135. The cubic root of 104100012 is about 470.4176339183.

Adding to 104100012 its reverse (210001401), we get a palindrome (314101413).

The spelling of 104100012 in words is "one hundred four million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 97 108 114 171 194 228 291 342 388 513 523 582 684 873 1026 1046 1164 1569 1746 1843 2052 2092 2619 3138 3492 3686 4707 5238 5529 6276 7372 9414 9937 10476 11058 14121 16587 18828 19874 22116 28242 29811 33174 39748 49761 50731 56484 59622 66348 89433 99522 101462 119244 152193 178866 199044 202924 268299 304386 357732 456579 536598 608772 913158 963889 1073196 1369737 1826316 1927778 2739474 2891667 3855556 5478948 5783334 8675001 11566668 17350002 26025003 34700004 52050006 104100012