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11025303225240 = 23351312626726701
BaseRepresentation
bin1010000001110000011101…
…0010000100001110011000
31110001000020100010200221210
42200130013102010032120
52421114310111201430
635240542051303120
72215360202066313
oct240340722041630
943030210120853
1011025303225240
113570894272607
1212a093b8aaaa0
1361c8b2717395
142a18adcd197a
15141bd7cc62b0
hexa0707484398

11025303225240 has 128 divisors (see below), whose sum is σ = 33330914622720. Its totient is φ = 2917417152000.

The previous prime is 11025303225227. The next prime is 11025303225247. The reversal of 11025303225240 is 4252230352011.

It is a super-2 number, since 2×110253032252402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11025303225198 and 11025303225207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11025303225247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412903890 + ... + 412930590.

It is an arithmetic number, because the mean of its divisors is an integer number (260397770490).

Almost surely, 211025303225240 is an apocalyptic number.

11025303225240 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 11025303225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665457311360).

11025303225240 is an abundant number, since it is smaller than the sum of its proper divisors (22305611397480).

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

11025303225240 is a wasteful number, since it uses less digits than its factorization.

11025303225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53113 (or 53109 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 11025303225240 its reverse (4252230352011), we get a palindrome (15277533577251).

The spelling of 11025303225240 in words is "eleven trillion, twenty-five billion, three hundred three million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 26267 26701 52534 53402 78801 80103 105068 106804 131335 133505 157602 160206 210136 213608 262670 267010 315204 320412 394005 400515 525340 534020 630408 640824 788010 801030 1050680 1068040 1576020 1602060 3152040 3204120 3440977 3497831 6881954 6995662 10322931 10493493 13763908 13991324 17204885 17489155 20645862 20986986 27527816 27982648 34409770 34978310 41291724 41973972 51614655 52467465 68819540 69956620 82583448 83947944 103229310 104934930 137639080 139913240 206458620 209869860 412917240 419739720 701355167 1402710334 2104065501 2805420668 3506775835 4208131002 5610841336 7013551670 8416262004 10520327505 14027103340 16832524008 21040655010 28054206680 42081310020 84162620040 91877526877 183755053754 275632580631 367510107508 459387634385 551265161262 735020215016 918775268770 1102530322524 1378162903155 1837550537540 2205060645048 2756325806310 3675101075080 5512651612620 11025303225240