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10001200440 = 23357111082381
BaseRepresentation
bin10010101000001111…
…00011010100111000
3221211000000121211010
421110013203110320
5130440301403230
64332224233520
7502560541530
oct112407432470
927730017733
1010001200440
114272464a10
121b3146b8a0
13c3501a9aa
146ac3964c0
153d80489b0
hex2541e3538

10001200440 has 128 divisors (see below), whose sum is σ = 37407121920. Its totient is φ = 2078169600.

The previous prime is 10001200427. The next prime is 10001200481. The reversal of 10001200440 is 4400210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531951 + ... + 550430.

It is an arithmetic number, because the mean of its divisors is an integer number (292243140).

Almost surely, 210001200440 is an apocalyptic number.

10001200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001200440 is an abundant number, since it is smaller than the sum of its proper divisors (27405921480).

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

10001200440 is a wasteful number, since it uses less digits than its factorization.

10001200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082413 (or 1082409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10001200440 its reverse (4400210001), we get a palindrome (14401410441).

The spelling of 10001200440 in words is "ten billion, one million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 1082381 2164762 3247143 4329524 5411905 6494286 7576667 8659048 10823810 11906191 12988572 15153334 16235715 21647620 22730001 23812382 25977144 30306668 32471430 35718573 37883335 43295240 45460002 47624764 59530955 60613336 64942860 71437146 75766670 83343337 90920004 95249528 113650005 119061910 129885720 142874292 151533340 166686674 178592865 181840008 227300010 238123820 250030011 285748584 303066680 333373348 357185730 416716685 454600020 476247640 500060022 666746696 714371460 833433370 909200040 1000120044 1250150055 1428742920 1666866740 2000240088 2500300110 3333733480 5000600220 10001200440