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1104030432200 = 2352172953109961
BaseRepresentation
bin10000000100001101010…
…101110111101111001000
310220112200210000221022102
4100010031111313233020
5121042023242312300
62203103511412532
7142522621556513
oct20041525675710
93815623027272
101104030432200
113962424403a3
12159b75684148
1380156ac35b7
143b61489dd7a
151dab97380d5
hex1010d577bc8

1104030432200 has 96 divisors (see below), whose sum is σ = 2718808250760. Its totient is φ = 415490457600.

The previous prime is 1104030432161. The next prime is 1104030432257. The reversal of 1104030432200 is 22340304011.

It can be written as a sum of positive squares in 12 ways, for example, as 678412500964 + 425617931236 = 823658^2 + 652394^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9985220 + ... + 10095180.

Almost surely, 21104030432200 is an apocalyptic number.

1104030432200 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 1104030432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359404125380).

1104030432200 is an abundant number, since it is smaller than the sum of its proper divisors (1614777818560).

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

1104030432200 is a wasteful number, since it uses less digits than its factorization.

1104030432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112947 (or 112938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1104030432200 its reverse (22340304011), we get a palindrome (1126370736211).

The spelling of 1104030432200 in words is "one trillion, one hundred four billion, thirty million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2953 3400 5906 11812 14765 23624 29530 50201 59060 73825 100402 109961 118120 147650 200804 219922 251005 295300 401608 439844 502010 549805 590600 879688 1004020 1099610 1255025 1869337 2008040 2199220 2510050 2749025 3738674 4398440 5020100 5498050 7477348 9346685 10040200 10996100 14954696 18693370 21992200 37386740 46733425 74773480 93466850 186933700 324714833 373867400 649429666 1298859332 1623574165 2597718664 3247148330 5520152161 6494296660 8117870825 11040304322 12988593320 16235741650 22080608644 27600760805 32471483300 44161217288 55201521610 64942966600 110403043220 138003804025 220806086440 276007608050 552015216100 1104030432200