Search a number
-
+
103303001231100 = 2232521110434646589
BaseRepresentation
bin10111011111010000011010…
…101100010100111011111100
3111112202200002202212011120100
4113133100122230110323330
5102020004021303343400
61003412424342121100
730521252446312626
oct2737203254247374
9445680082764510
10103303001231100
112aa08614100530
12b704992120190
13458457b4ca428
141b71c6b693c16
15be2234e0b100
hex5df41ab14efc

103303001231100 has 108 divisors (see below), whose sum is σ = 353233656364680. Its totient is φ = 25043151811200.

The previous prime is 103303001231099. The next prime is 103303001231107. The reversal of 103303001231100 is 1132100303301.

It is a happy number.

103303001231100 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 300 + 1 + 231 + 100 = 666.

103303001231100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303001231107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5217313395 + ... + 5217333194.

Almost surely, 2103303001231100 is an apocalyptic number.

103303001231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103303001231100 is an abundant number, since it is smaller than the sum of its proper divisors (249930655133580).

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

103303001231100 is a wasteful number, since it uses less digits than its factorization.

103303001231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10434646620 (or 10434646610 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103303001231100 its reverse (1132100303301), we get a palindrome (104435101534401).

The spelling of 103303001231100 in words is "one hundred three trillion, three hundred three billion, one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 10434646589 20869293178 31303939767 41738586356 52173232945 62607879534 93911819301 104346465890 114781112479 125215759068 156519698835 187823638602 208692931780 229562224958 260866164725 313039397670 344343337437 375647277204 459124449916 469559096505 521732329450 573905562395 626078795340 688686674874 782598494175 939118193010 1033030012311 1043464658900 1147811124790 1377373349748 1565196988350 1721716687185 1878236386020 2066060024622 2295622249580 2347795482525 2869527811975 3130393976700 3443433374370 4132120049244 4695590965050 5165150061555 5739055623950 6886866748740 8608583435925 9391181930100 10330300123110 11478111247900 17217166871850 20660600246220 25825750307775 34434333743700 51651500615550 103303001231100