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112300412 = 22719292251
BaseRepresentation
bin1101011000110…
…01000101111100
321211022110012112
412230121011330
5212222103122
615050553152
72532352310
oct654310574
9254273175
10112300412
1158432a64
12317387b8
131a35c463
1410cb3b40
159cd42e2
hex6b1917c

112300412 has 72 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 43848000.

The previous prime is 112300403. The next prime is 112300427. The reversal of 112300412 is 214003211.

It is a super-2 number, since 2×1123004122 = 25222765070739488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 447287 + ... + 447537.

It is an arithmetic number, because the mean of its divisors is an integer number (3414320).

Almost surely, 2112300412 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 112300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

112300412 is an abundant number, since it is smaller than the sum of its proper divisors (133530628).

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

112300412 is a wasteful number, since it uses less digits than its factorization.

112300412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112300412 is about 10597.1888725265. The cubic root of 112300412 is about 482.4590416878.

Adding to 112300412 its reverse (214003211), we get a palindrome (326303623).

The spelling of 112300412 in words is "one hundred twelve million, three hundred thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 251 266 406 502 532 551 812 841 1004 1102 1682 1757 2204 3364 3514 3857 4769 5887 7028 7279 7714 9538 11774 14558 15428 15979 19076 23548 29116 31958 33383 50953 63916 66766 101906 111853 133532 138301 203812 211091 223706 276602 422182 447412 553204 844364 968107 1477637 1936214 2955274 3872428 4010729 5910548 8021458 16042916 28075103 56150206 112300412