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112254012 = 22341329919
BaseRepresentation
bin1101011000011…
…01110000111100
321211020002120000
412230031300330
5212214112022
615045554300
72532100113
oct654156074
9254202500
10112254012
1158401112
1231715990
131a3442c0
1410ca0c7a
159cc56ac
hex6b0dc3c

112254012 has 120 divisors (see below), whose sum is σ = 327280800. Its totient is φ = 33312384.

The previous prime is 112253971. The next prime is 112254017. The reversal of 112254012 is 210452211.

112254012 is a `hidden beast` number, since 1 + 122 + 540 + 1 + 2 = 666.

It is a super-2 number, since 2×1122540122 = 25201926420192288, 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 not an unprimeable number, because it can be changed into a prime (112254017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121689 + ... + 122607.

It is an arithmetic number, because the mean of its divisors is an integer number (2727340).

Almost surely, 2112254012 is an apocalyptic number.

112254012 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 112254012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163640400).

112254012 is an abundant number, since it is smaller than the sum of its proper divisors (215026788).

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

112254012 is a wasteful number, since it uses less digits than its factorization.

112254012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112254012 is about 10594.9993865030. Note that the first 3 decimals coincide. The cubic root of 112254012 is about 482.3925854656.

The spelling of 112254012 in words is "one hundred twelve million, two hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 919 1044 1053 1131 1404 1508 1566 1838 2106 2262 2349 2757 3132 3393 3676 4212 4524 4698 5514 6786 8271 9396 10179 11028 11947 13572 16542 20358 23894 24813 26651 30537 33084 35841 40716 47788 49626 53302 61074 71682 74439 79953 99252 106604 107523 122148 143364 148878 159906 215046 239859 297756 319812 322569 346463 430092 479718 645138 692926 719577 959436 967707 1039389 1290276 1385852 1439154 1935414 2078778 2158731 2878308 3118167 3870828 4157556 4317462 6236334 8634924 9354501 12472668 18709002 28063503 37418004 56127006 112254012