Search a number
-
+
110031320320100 = 225223191250469657
BaseRepresentation
bin11001000001001010101001…
…110000110000100001100100
3112102120220001220020220011122
4121001022221300300201210
5103410223121000220400
61030003405110553112
732114333456040254
oct3101125160604144
9472526056226148
10110031320320100
11320720258a0263
1210410982668798
134951ba806754a
141d25789879964
15cac2791e2685
hex6412a9c30864

110031320320100 has 72 divisors (see below), whose sum is σ = 250453627941888. Its totient is φ = 41878526483200.

The previous prime is 110031320320093. The next prime is 110031320320177. The reversal of 110031320320100 is 1023023130011.

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 23 ways as a sum of consecutive naturals, for example, 124795529 + ... + 125674128.

It is an arithmetic number, because the mean of its divisors is an integer number (3478522610304).

Almost surely, 2110031320320100 is an apocalyptic number.

110031320320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110031320320100 is an abundant number, since it is smaller than the sum of its proper divisors (140422307621788).

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

110031320320100 is a wasteful number, since it uses less digits than its factorization.

110031320320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250469885 (or 250469878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 110031320320100 its reverse (1023023130011), we get a palindrome (111054343450111).

The spelling of 110031320320100 in words is "one hundred ten trillion, thirty-one billion, three hundred twenty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 191 230 382 460 575 764 955 1150 1910 2300 3820 4393 4775 8786 9550 17572 19100 21965 43930 87860 109825 219650 439300 250469657 500939314 1001878628 1252348285 2504696570 5009393140 5760802111 6261741425 11521604222 12523482850 23043208444 25046965700 28804010555 47839704487 57608021110 95679408974 115216042220 144020052775 191358817948 239198522435 288040105550 478397044870 576080211100 956794089740 1100313203201 1195992612175 2200626406402 2391985224350 4401252812804 4783970448700 5501566016005 11003132032010 22006264064020 27507830080025 55015660160050 110031320320100