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11025010563240 = 2335315176757251
BaseRepresentation
bin1010000001101111010111…
…0101101001100010101000
31110000222110221102221011110
42200123311311221202220
52421113210201010430
635240453034430320
72215350016361322
oct240336565514250
943028427387143
1011025010563240
113570754050293
1212a08798923a0
1361c866bb85bb
142a18830ac612
15141bbc2667b0
hexa06f5d698a8

11025010563240 has 128 divisors (see below), whose sum is σ = 34143224094720. Its totient is φ = 2845059360000.

The previous prime is 11025010563239. The next prime is 11025010563241. The reversal of 11025010563240 is 4236501052011.

It is an interprime number because it is at equal distance from previous prime (11025010563239) and next prime (11025010563241).

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 = 11025010563198 and 11025010563207.

It is not an unprimeable number, because it can be changed into a prime (11025010563241) 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, 192544615 + ... + 192601865.

It is an arithmetic number, because the mean of its divisors is an integer number (266743938240).

Almost surely, 211025010563240 is an apocalyptic number.

11025010563240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11025010563240 is an abundant number, since it is smaller than the sum of its proper divisors (23118213531480).

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

11025010563240 is a wasteful number, since it uses less digits than its factorization.

11025010563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109063 (or 109059 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 11025010563240 in words is "eleven trillion, twenty-five billion, ten million, five hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 51767 57251 103534 114502 155301 171753 207068 229004 258835 286255 310602 343506 414136 458008 517670 572510 621204 687012 776505 858765 1035340 1145020 1242408 1374024 1553010 1604777 1717530 1774781 2070680 2290040 3106020 3209554 3435060 3549562 4814331 5324343 6212040 6419108 6870120 7099124 8023885 8873905 9628662 10648686 12838216 14198248 16047770 17747810 19257324 21297372 24071655 26621715 32095540 35495620 38514648 42594744 48143310 53243430 64191080 70991240 96286620 106486860 192573240 212973720 2963712517 5927425034 8891137551 11854850068 14818562585 17782275102 23709700136 29637125170 35564550204 44455687755 59274250340 71129100408 88911375510 91875088027 118548500680 177822751020 183750176054 275625264081 355645502040 367500352108 459375440135 551250528162 735000704216 918750880270 1102501056324 1378126320405 1837501760540 2205002112648 2756252640810 3675003521080 5512505281620 11025010563240