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112312404 = 2232172379101
BaseRepresentation
bin1101011000111…
…00000001010100
321211100001122200
412230130001110
5212222444104
615051124500
72532432261
oct654340124
9254301580
10112312404
1158440a76
1231743730
131a364a59
1410cb8268
159cd7b39
hex6b1c054

112312404 has 144 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 32947200.

The previous prime is 112312399. The next prime is 112312423. The reversal of 112312404 is 404213211.

It is a super-2 number, since 2×1123124042 = 25228152184518432, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111954 + ... + 1112054.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2112312404 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 112312404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

112312404 is an abundant number, since it is smaller than the sum of its proper divisors (208473516).

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

112312404 is a wasteful number, since it uses less digits than its factorization.

112312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112312404 is about 10597.7546678530. The cubic root of 112312404 is about 482.4762142068.

Adding to 112312404 its reverse (404213211), we get a palindrome (516525615).

The spelling of 112312404 in words is "one hundred twelve million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 79 92 101 102 138 153 158 202 204 207 237 276 303 306 316 391 404 414 474 606 612 711 782 828 909 948 1173 1212 1343 1422 1564 1717 1817 1818 2323 2346 2686 2844 3434 3519 3634 3636 4029 4646 4692 5151 5372 5451 6868 6969 7038 7268 7979 8058 9292 10302 10902 12087 13938 14076 15453 15958 16116 16353 20604 20907 21804 23937 24174 27876 30889 30906 31916 32706 39491 41814 47874 48348 61778 61812 65412 71811 78982 83628 92667 95748 118473 123556 135643 143622 157964 183517 185334 236946 271286 278001 287244 355419 367034 370668 406929 473892 542572 550551 556002 710838 734068 813858 1101102 1112004 1220787 1421676 1627716 1651653 2202204 2441574 3119789 3303306 4883148 6239578 6606612 9359367 12479156 18718734 28078101 37437468 56156202 112312404