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1100322112120 = 2357111931851023
BaseRepresentation
bin10000000000110000010…
…011110000001001111000
310220012010100011202111021
4100000300103300021320
5121011424430041440
62201251521312224
7142332002430640
oct20006023601170
93805110152437
101100322112120
1139470a168660
121592bb795674
137c9b574896a
143b382195520
151d94ddcb84a
hex100304f0278

1100322112120 has 128 divisors (see below), whose sum is σ = 3102612387840. Its totient is φ = 341180375040.

The previous prime is 1100322112093. The next prime is 1100322112139. The reversal of 1100322112120 is 212112230011.

It is a junction number, because it is equal to n+sod(n) for n = 1100322112094 and 1100322112103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331072 + ... + 1519951.

It is an arithmetic number, because the mean of its divisors is an integer number (24239159280).

Almost surely, 21100322112120 is an apocalyptic number.

1100322112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100322112120 is an abundant number, since it is smaller than the sum of its proper divisors (2002290275720).

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

1100322112120 is a wasteful number, since it uses less digits than its factorization.

1100322112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851245 (or 1851241 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1100322112120 its reverse (212112230011), we get a palindrome (1312434342131).

The spelling of 1100322112120 in words is "one trillion, one hundred billion, three hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 193 220 280 308 385 386 440 616 770 772 965 1351 1540 1544 1930 2123 2702 3080 3860 4246 5404 6755 7720 8492 10615 10808 13510 14861 16984 21230 27020 29722 42460 54040 59444 74305 84920 118888 148610 297220 594440 1851023 3702046 7404092 9255115 12957161 14808184 18510230 20361253 25914322 37020460 40722506 51828644 64785805 74040920 81445012 101806265 103657288 129571610 142528771 162890024 203612530 259143220 285057542 357247439 407225060 518286440 570115084 712643855 714494878 814450120 1140230168 1425287710 1428989756 1786237195 2500732073 2850575420 2857979512 3572474390 3929721829 5001464146 5701150840 7144948780 7859443658 10002928292 12503660365 14289897560 15718887316 19648609145 20005856584 25007320730 27508052803 31437774632 39297218290 50014641460 55016105606 78594436580 100029282920 110032211212 137540264015 157188873160 220064422424 275080528030 550161056060 1100322112120