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1041224004200 = 2352109120139769
BaseRepresentation
bin11110010011011011100…
…10010111001001101000
310200112120200122211002102
433021231302113021220
5114024411321113300
62114155351552532
7135140334002132
oct17115562271150
93615520584072
101041224004200
11371642895456
1214996798b748
1377257ac8433
14385773d2052
151c14092b0d5
hexf26dc97268

1041224004200 has 96 divisors (see below), whose sum is σ = 2445151071000. Its totient is φ = 412314624000.

The previous prime is 1041224004167. The next prime is 1041224004209. The reversal of 1041224004200 is 24004221401.

It can be written as a sum of positive squares in 12 ways, for example, as 51330339844 + 989893664356 = 226562^2 + 994934^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1041224004209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26161916 + ... + 26201684.

Almost surely, 21041224004200 is an apocalyptic number.

1041224004200 is a gapful number since it is divisible by the number (10) 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 1041224004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222575535500).

1041224004200 is an abundant number, since it is smaller than the sum of its proper divisors (1403927066800).

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

1041224004200 is a wasteful number, since it uses less digits than its factorization.

1041224004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41095 (or 41086 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1041224004200 its reverse (24004221401), we get a palindrome (1065228225601).

The spelling of 1041224004200 in words is "one trillion, forty-one billion, two hundred twenty-four million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 1201 2180 2402 2725 4360 4804 5450 6005 9608 10900 12010 21800 24020 30025 39769 48040 60050 79538 120100 130909 159076 198845 240200 261818 318152 397690 523636 654545 795380 994225 1047272 1309090 1590760 1988450 2618180 3272725 3976900 4334821 5236360 6545450 7953800 8669642 13090900 17339284 21674105 26181800 34678568 43348210 47762569 86696420 95525138 108370525 173392840 191050276 216741050 238812845 382100552 433482100 477625690 866964200 955251380 1194064225 1910502760 2388128450 4776256900 5206120021 9552513800 10412240042 20824480084 26030600105 41648960168 52061200210 104122400420 130153000525 208244800840 260306001050 520612002100 1041224004200