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112323132224 = 26172912728031
BaseRepresentation
bin110100010011011111…
…0101111101101000000
3101201220222210022200022
41220212332233231000
53320014210212344
6123333414313012
711054320604462
oct1504676575500
9351828708608
10112323132224
11436aa5307a6
1219928958768
13a7908b1064
145617954132
152dc60380ee
hex1a26fafb40

112323132224 has 112 divisors (see below), whose sum is σ = 246071623680. Its totient is φ = 50631598080.

The previous prime is 112323132223. The next prime is 112323132263. The reversal of 112323132224 is 422231323211.

It is a super-2 number, since 2×1123231322242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112323132193 and 112323132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112323132223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3993089 + ... + 4021119.

Almost surely, 2112323132224 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 112323132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123035811840).

112323132224 is an abundant number, since it is smaller than the sum of its proper divisors (133748491456).

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

112323132224 is a wasteful number, since it uses less digits than its factorization.

112323132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28216 (or 28206 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

Adding to 112323132224 its reverse (422231323211), we get a palindrome (534554455435).

The spelling of 112323132224 in words is "one hundred twelve billion, three hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 127 136 232 254 272 464 493 508 544 928 986 1016 1088 1856 1972 2032 2159 3683 3944 4064 4318 7366 7888 8128 8636 14732 15776 17272 28031 29464 31552 34544 56062 58928 62611 69088 112124 117856 125222 138176 224248 235712 250444 448496 476527 500888 812899 896992 953054 1001776 1625798 1793984 1906108 2003552 3251596 3559937 3812216 4007104 6503192 7119874 7624432 13006384 13819283 14239748 15248864 26012768 27638566 28479496 30497728 52025536 55277132 56958992 60518929 103238173 110554264 113917984 121037858 206476346 221108528 227835968 242075716 412952692 442217056 484151432 825905384 884434112 968302864 1651810768 1755048941 1936605728 3303621536 3510097882 3873211456 6607243072 7020195764 14040391528 28080783056 56161566112 112323132224