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13323106240 = 265435916411
BaseRepresentation
bin11000110100001111…
…00111011111000000
31021101111202220220021
430122013213133000
5204241203344430
610042012223224
7651105351223
oct143207473700
937344686807
1013323106240
115717600a04
1226b9a6ab14
1313442cca22
149056355ba
1552e9c707a
hex31a1e77c0

13323106240 has 112 divisors (see below), whose sum is σ = 33015692160. Its totient is φ = 5116769280.

The previous prime is 13323106229. The next prime is 13323106241. The reversal of 13323106240 is 4260132331.

13323106240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323106241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803635 + ... + 820045.

Almost surely, 213323106240 is an apocalyptic number.

13323106240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507846080).

13323106240 is an abundant number, since it is smaller than the sum of its proper divisors (19692585920).

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

13323106240 is a wasteful number, since it uses less digits than its factorization.

13323106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16530 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13323106240 its reverse (4260132331), we get a palindrome (17583238571).

The spelling of 13323106240 in words is "thirteen billion, three hundred twenty-three million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 59 64 80 86 118 160 172 215 236 295 320 344 430 472 590 688 860 944 1180 1376 1720 1888 2360 2537 2752 3440 3776 4720 5074 6880 9440 10148 12685 13760 16411 18880 20296 25370 32822 40592 50740 65644 81184 82055 101480 131288 162368 164110 202960 262576 328220 405920 525152 656440 705673 811840 968249 1050304 1312880 1411346 1936498 2625760 2822692 3528365 3872996 4841245 5251520 5645384 7056730 7745992 9682490 11290768 14113460 15491984 19364980 22581536 28226920 30983968 38729960 41634707 45163072 56453840 61967936 77459920 83269414 112907680 154919840 166538828 208173535 225815360 309839680 333077656 416347070 666155312 832694140 1332310624 1665388280 2664621248 3330776560 6661553120 13323106240