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10312104 = 2331125367
BaseRepresentation
bin100111010101…
…100110101000
3201101220112210
4213111212220
510114441404
61005005120
7153436305
oct47254650
921356483
1010312104
115903700
1235537a0
1321a094a
1415260ac
15d8a689
hex9d59a8

10312104 has 96 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 3020160.

The previous prime is 10312091. The next prime is 10312121. The reversal of 10312104 is 40121301.

It is a happy number.

10312104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10312104.

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, 153879 + ... + 153945.

It is an arithmetic number, because the mean of its divisors is an integer number (305235).

Almost surely, 210312104 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 10312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

10312104 is an abundant number, since it is smaller than the sum of its proper divisors (18990456).

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

10312104 is a wasteful number, since it uses less digits than its factorization.

10312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10312104 is about 3211.2464869580. The cubic root of 10312104 is about 217.6619061356.

Adding to 10312104 its reverse (40121301), we get a palindrome (50433405).

The spelling of 10312104 in words is "ten million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 67 88 106 121 132 134 159 201 212 242 264 268 318 363 402 424 484 536 583 636 726 737 804 968 1166 1272 1452 1474 1608 1749 2211 2332 2904 2948 3498 3551 4422 4664 5896 6413 6996 7102 8107 8844 10653 12826 13992 14204 16214 17688 19239 21306 24321 25652 28408 32428 38478 39061 42612 48642 51304 64856 76956 78122 85224 97284 117183 153912 156244 194568 234366 312488 429671 468732 859342 937464 1289013 1718684 2578026 3437368 5156052 10312104