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112234848869025 = 3252312227832
BaseRepresentation
bin11001100001001110110110…
…010011000101101010100001
3112201101112202120222021210100
4121201032312103011222201
5104202323432302302100
61034411551111053013
732432462116465101
oct3141166623055241
9481345676867710
10112234848869025
1132841594259283
1210707a47971169
134a81915971a4c
141da02a4cbb201
15ce97452e0400
hex6613b64c5aa1

112234848869025 has 81 divisors (see below), whose sum is σ = 207728065929267. Its totient is φ = 57925121349600.

The previous prime is 112234848868993. The next prime is 112234848869051. The reversal of 112234848869025 is 520968848432211.

The square root of 112234848869025 is 10594095.

It is a perfect power (a square), and thus also a powerful number.

112234848869025 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 48 + 488 + 6 + 90 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40404545592849 + 71830303276176 = 6356457^2 + 8475276^2 .

It is not a de Polignac number, because 112234848869025 - 25 = 112234848868993 is a prime.

It is a super-2 number, since 2×1122348488690252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4926242784 + ... + 4926265566.

Almost surely, 2112234848869025 is an apocalyptic number.

112234848869025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112234848869025 is the 10594095-th square number.

112234848869025 is the 5297048-th centered octagonal number.

It is an amenable number.

112234848869025 is a deficient number, since it is larger than the sum of its proper divisors (95493217060242).

112234848869025 is an frugal number, since it uses more digits than its factorization.

112234848869025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45644 (or 22822 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 112234848869025 in words is "one hundred twelve trillion, two hundred thirty-four billion, eight hundred forty-eight million, eight hundred sixty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 961 1395 2325 2883 4805 6975 8649 14415 22783 24025 43245 68349 72075 113915 205047 216225 341745 569575 706273 1025235 1708725 2118819 3531365 5126175 6356457 10594095 17656825 21894463 31782285 52970475 65683389 109472315 158911425 197050167 328416945 519065089 547361575 985250835 1557195267 1642084725 2595325445 4671585801 4926254175 7785976335 12976627225 16091017759 23357929005 38929881675 48273053277 80455088795 116789645025 144819159831 241365266385 402275443975 498821550529 724095799155 1206826331925 1496464651587 2494107752645 3620478995775 4489393954761 7482323257935 12470538763225 22446969773805 37411616289675 112234848869025