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11001231131220 = 22335111852059113
BaseRepresentation
bin1010000000010110110001…
…1110010100001001010100
31102221201002201020121212000
42200011230132110021110
52420221010132144340
635221521254555300
72213545522501221
oct240055436241124
942851081217760
1011001231131220
113561661199030
121298142068b30
1361a5474c8375
142a0668c8a948
151412797e3d30
hexa016c794254

11001231131220 has 96 divisors (see below), whose sum is σ = 37337511738240. Its totient is φ = 2666965121280.

The previous prime is 11001231131213. The next prime is 11001231131249. The reversal of 11001231131220 is 2213113210011.

11001231131220 is a `hidden beast` number, since 1 + 10 + 0 + 12 + 311 + 312 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11001231131193 and 11001231131202.

It is a congruent number.

It is an unprimeable number.

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, 926023617 + ... + 926035496.

It is an arithmetic number, because the mean of its divisors is an integer number (388932413940).

Almost surely, 211001231131220 is an apocalyptic number.

11001231131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001231131220 is an abundant number, since it is smaller than the sum of its proper divisors (26336280607020).

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

11001231131220 is a wasteful number, since it uses less digits than its factorization.

11001231131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852059142 (or 1852059134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11001231131220 its reverse (2213113210011), we get a palindrome (13214344341231).

The spelling of 11001231131220 in words is "eleven trillion, one billion, two hundred thirty-one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1852059113 3704118226 5556177339 7408236452 9260295565 11112354678 16668532017 18520591130 20372650243 22224709356 27780886695 33337064034 37041182260 40745300486 50005596051 55561773390 61117950729 66674128068 81490600972 83342660085 100011192102 101863251215 111123546780 122235901458 166685320170 183353852187 200022384204 203726502430 244471802916 250027980255 305589753645 333370640340 366707704374 407453004860 500055960510 550061556561 611179507290 733415408748 916769260935 1000111921020 1100123113122 1222359014580 1833538521870 2200246226244 2750307782805 3667077043740 5500615565610 11001231131220