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100320533331040 = 2551159966106831
BaseRepresentation
bin10110110011110110110001…
…110000001011110001100000
3111011012112211110022211221001
4112303312301300023301200
5101122122423013043130
6553210341120241344
730062630223406531
oct2663666160136140
9434175743284831
10100320533331040
1129a68776794a50
12b30295b770254
1343c9254ca4779
141aab77adca688
15b8e8799486ca
hex5b3db1c0bc60

100320533331040 has 96 divisors (see below), whose sum is σ = 262935635397120. Its totient is φ = 35861885529600.

The previous prime is 100320533331001. The next prime is 100320533331049. The reversal of 100320533331040 is 40133335023001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320533331049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 482949576 + ... + 483157255.

It is an arithmetic number, because the mean of its divisors is an integer number (2738912868720).

Almost surely, 2100320533331040 is an apocalyptic number.

100320533331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100320533331040 is an abundant number, since it is smaller than the sum of its proper divisors (162615102066080).

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

100320533331040 is a wasteful number, since it uses less digits than its factorization.

100320533331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966106916 (or 966106908 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 100320533331040 its reverse (40133335023001), we get a palindrome (140453868354041).

The spelling of 100320533331040 in words is "one hundred trillion, three hundred twenty billion, five hundred thirty-three million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 80 88 110 118 160 176 220 236 295 352 440 472 590 649 880 944 1180 1298 1760 1888 2360 2596 3245 4720 5192 6490 9440 10384 12980 20768 25960 51920 103840 966106831 1932213662 3864427324 4830534155 7728854648 9661068310 10627175141 15457709296 19322136620 21254350282 30915418592 38644273240 42508700564 53135875705 57000303029 77288546480 85017401128 106271751410 114000606058 154577092960 170034802256 212543502820 228001212116 285001515145 340069604512 425087005640 456002424232 570003030290 627003333319 850174011280 912004848464 1140006060580 1254006666638 1700348022560 1824009696928 2280012121160 2508013333276 3135016666595 4560024242320 5016026666552 6270033333190 9120048484640 10032053333104 12540066666380 20064106666208 25080133332760 50160266665520 100320533331040