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21313331130100 = 22521631916845897
BaseRepresentation
bin1001101100010011001011…
…00001111110111011110100
32210110112102200200112110011
410312021211201332323310
510243144200232130400
6113155113102110004
74326560133313642
oct466114541767364
983415380615404
1021313331130100
116877a29870619
1224827bb57b304
13bb7ab925a129
145397dc12a192
1526e61e31a8ba
hex13626587eef4

21313331130100 has 72 divisors (see below), whose sum is σ = 46777309060608. Its totient is φ = 8428667155200.

The previous prime is 21313331130097. The next prime is 21313331130139. The reversal of 21313331130100 is 103113331312.

It is a super-2 number, since 2×213133311301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309649 + ... + 6536248.

It is an arithmetic number, because the mean of its divisors is an integer number (649684848064).

Almost surely, 221313331130100 is an apocalyptic number.

21313331130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21313331130100 is an abundant number, since it is smaller than the sum of its proper divisors (25463977930508).

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

21313331130100 is a wasteful number, since it uses less digits than its factorization.

21313331130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846265 (or 6846258 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 21313331130100 its reverse (103113331312), we get a palindrome (21416444461412).

The spelling of 21313331130100 in words is "twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 191 326 382 652 764 815 955 1630 1910 3260 3820 4075 4775 8150 9550 16300 19100 31133 62266 124532 155665 311330 622660 778325 1556650 3113300 6845897 13691794 27383588 34229485 68458970 136917940 171147425 342294850 684589700 1115881211 1307566327 2231762422 2615132654 4463524844 5230265308 5579406055 6537831635 11158812110 13075663270 22317624220 26151326540 27897030275 32689158175 55794060550 65378316350 111588121100 130756632700 213133311301 426266622602 852533245204 1065666556505 2131333113010 4262666226020 5328332782525 10656665565050 21313331130100