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244031112300 = 2235210314953003
BaseRepresentation
bin1110001101000101100…
…0110100010001101100
3212022212221120221111110
43203101120310101230
512444233431043200
6304034545352020
723426214141543
oct3432130642154
9768787527443
10244031112300
1194547223608
123b365638610
131a020597491
14bb4dbc115a
156533cc9b50
hex38d163446c

244031112300 has 144 divisors (see below), whose sum is σ = 717716563200. Its totient is φ = 64009455360.

The previous prime is 244031112229. The next prime is 244031112313. The reversal of 244031112300 is 3211130442.

It is a super-2 number, since 2×2440311123002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4577599 + ... + 4630601.

It is an arithmetic number, because the mean of its divisors is an integer number (4984142800).

Almost surely, 2244031112300 is an apocalyptic number.

244031112300 is a gapful number since it is divisible by the number (20) 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 244031112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358858281600).

244031112300 is an abundant number, since it is smaller than the sum of its proper divisors (473685450900).

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

244031112300 is a wasteful number, since it uses less digits than its factorization.

244031112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53272 (or 53265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 244031112300 its reverse (3211130442), we get a palindrome (247242242742).

The spelling of 244031112300 in words is "two hundred forty-four billion, thirty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 149 150 206 298 300 309 412 447 515 596 618 745 894 1030 1236 1490 1545 1788 2060 2235 2575 2980 3090 3725 4470 5150 6180 7450 7725 8940 10300 11175 14900 15347 15450 22350 30694 30900 44700 46041 53003 61388 76735 92082 106006 153470 159009 184164 212012 230205 265015 306940 318018 383675 460410 530030 636036 767350 795045 920820 1060060 1151025 1325075 1534700 1590090 2302050 2650150 3180180 3975225 4604100 5300300 5459309 7897447 7950450 10918618 15794894 15900900 16377927 21837236 23692341 27296545 31589788 32755854 39487235 47384682 54593090 65511708 78974470 81889635 94769364 109186180 118461705 136482725 157948940 163779270 197436175 236923410 272965450 327558540 394872350 409448175 473846820 545930900 592308525 789744700 813437041 818896350 1184617050 1626874082 1637792700 2369234100 2440311123 3253748164 4067185205 4880622246 8134370410 9761244492 12201555615 16268740820 20335926025 24403111230 40671852050 48806222460 61007778075 81343704100 122015556150 244031112300