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10441222000 = 2453111924979
BaseRepresentation
bin10011011100101100…
…00110011101110000
3222221200000000220221
421232112012131300
5132340423101000
64444023342424
7516512631316
oct115626063560
928850000827
1010441222000
1144788856a0
1220348b1a14
13ca5232891
147109b80b6
154119b561a
hex26e586770

10441222000 has 160 divisors (see below), whose sum is σ = 28992787200. Its totient is φ = 3596832000.

The previous prime is 10441221913. The next prime is 10441222007. The reversal of 10441222000 is 22214401.

10441222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441222007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 405511 + ... + 430489.

It is an arithmetic number, because the mean of its divisors is an integer number (181204920).

Almost surely, 210441222000 is an apocalyptic number.

10441222000 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 10441222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496393600).

10441222000 is an abundant number, since it is smaller than the sum of its proper divisors (18551565200).

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

10441222000 is a wasteful number, since it uses less digits than its factorization.

10441222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25032 (or 25016 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10441222000 its reverse (22214401), we get a palindrome (10463436401).

The spelling of 10441222000 in words is "ten billion, four hundred forty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 125 152 176 190 200 209 220 250 275 304 380 400 418 440 475 500 550 760 836 880 950 1000 1045 1100 1375 1520 1672 1900 2000 2090 2200 2375 2750 3344 3800 4180 4400 4750 5225 5500 7600 8360 9500 10450 11000 16720 19000 20900 22000 24979 26125 38000 41800 49958 52250 83600 99916 104500 124895 199832 209000 249790 274769 399664 418000 474601 499580 549538 624475 949202 999160 1099076 1248950 1373845 1898404 1998320 2198152 2373005 2497900 2747690 3122375 3796808 4396304 4746010 4995800 5220611 5495380 6244750 6869225 7593616 9492020 9991600 10441222 10990760 11865025 12489500 13738450 18984040 20882444 21981520 23730050 24979000 26103055 27476900 34346125 37968080 41764888 47460100 49958000 52206110 54953800 59325125 68692250 83529776 94920200 104412220 109907600 118650250 130515275 137384500 189840400 208824440 237300500 261030550 274769000 417648880 474601000 522061100 549538000 652576375 949202000 1044122200 1305152750 2088244400 2610305500 5220611000 10441222000