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11231032401000 = 233453138654721
BaseRepresentation
bin1010001101101110110110…
…1100100101110001101000
31110202200020221212200010000
42203123231230211301220
52433002123243313000
635515244241423000
72236262311165536
oct243335554456150
943680227780100
1011231032401000
113640065aa8305
12131479603aa60
1363610a97b289
142ab828c45156
151472291d9000
hexa36edb25c68

11231032401000 has 160 divisors (see below), whose sum is σ = 39258697987080. Its totient is φ = 2994941952000.

The previous prime is 11231032400983. The next prime is 11231032401031. The reversal of 11231032401000 is 10423013211.

11231032401000 is a `hidden beast` number, since 1 + 1 + 231 + 0 + 32 + 401 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7534926180324 + 3696106220676 = 2744982^2 + 1922526^2 .

It is a super-2 number, since 2×112310324010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69246361 + ... + 69408360.

Almost surely, 211231032401000 is an apocalyptic number.

11231032401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11231032401000 is an abundant number, since it is smaller than the sum of its proper divisors (28027665586080).

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

11231032401000 is a wasteful number, since it uses less digits than its factorization.

11231032401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138654754 (or 138654731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11231032401000 its reverse (10423013211), we get a palindrome (11241455414211).

The spelling of 11231032401000 in words is "eleven trillion, two hundred thirty-one billion, thirty-two million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 81000 138654721 277309442 415964163 554618884 693273605 831928326 1109237768 1247892489 1386547210 1663856652 2079820815 2495784978 2773094420 3327713304 3466368025 3743677467 4159641630 4991569956 5546188840 6239462445 6932736050 7487354934 8319283260 9983139912 10399104075 11231032401 12478924890 13865472100 14974709868 16638566520 17331840125 18718387335 20798208150 22462064802 24957849780 27730944200 29949419736 31197312225 34663680250 37436774670 41596416300 44924129604 49915699560 51995520375 56155162005 62394624450 69327360500 74873549340 83192832600 89848259208 93591936675 103991040750 112310324010 124789248900 138654721000 149747098680 155986561125 187183873350 207982081500 224620648020 249578497800 280775810025 311973122250 374367746700 415964163000 449241296040 467959683375 561551620050 623946244500 748735493400 935919366750 1123103240100 1247892489000 1403879050125 1871838733500 2246206480200 2807758100250 3743677467000 5615516200500 11231032401000