Search a number
-
+
100031203203100 = 225213238132317127
BaseRepresentation
bin10110101111101001010100…
…010101010101100000011100
3111010011220000112122111000121
4112233221110111111200130
5101102402401004444400
6552425411135404324
730033005316036661
oct2657512425254034
9433156015574017
10100031203203100
1129966aa4444534
12b2768736836a4
1343a7b95884430
141a9b770d81a68
15b87093d6821a
hex5afa5455581c

100031203203100 has 72 divisors (see below), whose sum is σ = 233863413846048. Its totient is φ = 36919084742400.

The previous prime is 100031203203097. The next prime is 100031203203119. The reversal of 100031203203100 is 1302302130001.

It is a super-2 number, since 2×1000312032031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13063264 + ... + 19253863.

It is an arithmetic number, because the mean of its divisors is an integer number (3248102970084).

Almost surely, 2100031203203100 is an apocalyptic number.

100031203203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031203203100 is an abundant number, since it is smaller than the sum of its proper divisors (133832210642948).

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

100031203203100 is a wasteful number, since it uses less digits than its factorization.

100031203203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32319535 (or 32319528 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100031203203100 its reverse (1302302130001), we get a palindrome (101333505333101).

The spelling of 100031203203100 in words is "one hundred trillion, thirty-one billion, two hundred three million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2381 4762 9524 11905 23810 30953 47620 59525 61906 119050 123812 154765 238100 309530 619060 773825 1547650 3095300 32317127 64634254 129268508 161585635 323171270 420122651 646342540 807928175 840245302 1615856350 1680490604 2100613255 3231712700 4201226510 8402453020 10503066275 21006132550 42012265100 76947079387 153894158774 307788317548 384735396935 769470793870 1000312032031 1538941587740 1923676984675 2000624064062 3847353969350 4001248128124 5001560160155 7694707938700 10003120320310 20006240640620 25007800800775 50015601601550 100031203203100