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20131223310 = 232511103197423
BaseRepresentation
bin10010101111111010…
…100001011100001110
31220221222110002210100
4102233322201130032
5312212043121220
613125333551530
71311604401102
oct225772413416
956858402710
1020131223310
1185a0607040
123a99aa55a6
131b8a931173
14d8d8c3902
157cc53bd90
hex4afea170e

20131223310 has 96 divisors (see below), whose sum is σ = 57654125568. Its totient is φ = 4832890560.

The previous prime is 20131223309. The next prime is 20131223339. The reversal of 20131223310 is 1332213102.

20131223310 is a `hidden beast` number, since 2 + 0 + 131 + 223 + 310 = 666.

It is a super-2 number, since 2×201312233102 (a number of 21 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259 + ... + 200681.

It is an arithmetic number, because the mean of its divisors is an integer number (600563808).

Almost surely, 220131223310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131223310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28827062784).

20131223310 is an abundant number, since it is smaller than the sum of its proper divisors (37522902258).

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

20131223310 is a wasteful number, since it uses less digits than its factorization.

20131223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197550 (or 197547 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20131223310 its reverse (1332213102), we get a palindrome (21463436412).

The spelling of 20131223310 in words is "twenty billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 103 110 165 198 206 309 330 495 515 618 927 990 1030 1133 1545 1854 2266 3090 3399 4635 5665 6798 9270 10197 11330 16995 20394 33990 50985 101970 197423 394846 592269 987115 1184538 1776807 1974230 2171653 2961345 3553614 4343306 5922690 6514959 8884035 10858265 13029918 17768070 19544877 20334569 21716530 32574795 39089754 40669138 61003707 65149590 97724385 101672845 122007414 183011121 195448770 203345690 223680259 305018535 366022242 447360518 610037070 671040777 915055605 1118401295 1342081554 1830111210 2013122331 2236802590 3355203885 4026244662 6710407770 10065611655 20131223310