Search a number
-
+
20121320210310 = 23251120324565869
BaseRepresentation
bin1001001001100110111000…
…01001001011111110000110
32122020120122101211202020100
410210303130021023332012
510114131430433212220
6110443335031144530
74144501033550634
oct444633411137606
978216571752210
1020121320210310
116458449773760
12230b791515146
13b2c580b61127
144d7c3ca66354
1524d605bbed90
hex124cdc24bf86

20121320210310 has 48 divisors (see below), whose sum is σ = 57071380962960. Its totient is φ = 4877895808320.

The previous prime is 20121320210309. The next prime is 20121320210311. The reversal of 20121320210310 is 1301202312102.

20121320210310 is a `hidden beast` number, since 2 + 0 + 1 + 21 + 320 + 2 + 10 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (20121320210309) and next prime (20121320210311).

It is a super-2 number, since 2×201213202103102 (a number of 27 digits) contains 22 as substring.

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 (20121320210311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10162281945 + ... + 10162283924.

It is an arithmetic number, because the mean of its divisors is an integer number (1188987103395).

Almost surely, 220121320210310 is an apocalyptic number.

20121320210310 is an abundant number, since it is smaller than the sum of its proper divisors (36950060752650).

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

20121320210310 is a wasteful number, since it uses less digits than its factorization.

20121320210310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20324565893 (or 20324565890 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20121320210310 its reverse (1301202312102), we get a palindrome (21422522522412).

The spelling of 20121320210310 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty million, two hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 20324565869 40649131738 60973697607 101622829345 121947395214 182921092821 203245658690 223570224559 304868488035 365842185642 447140449118 609736976070 670710673677 914605464105 1117851122795 1341421347354 1829210928210 2012132021031 2235702245590 3353553368385 4024264042062 6707106736770 10060660105155 20121320210310