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13312421232 = 2431129978963
BaseRepresentation
bin11000110010111101…
…10110110101110000
31021100202200001211020
430121132312311300
5204230434434412
610040551215440
7650615466465
oct143136666560
937322601736
1013312421232
115711573120
1226b6377580
13134202b436
1490405366c
1552dab618c
hex3197b6d70

13312421232 has 160 divisors (see below), whose sum is σ = 39214990080. Its totient is φ = 3854376960.

The previous prime is 13312421209. The next prime is 13312421279. The reversal of 13312421232 is 23212421331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 1480783 + ... + 1489745.

It is an arithmetic number, because the mean of its divisors is an integer number (245093688).

Almost surely, 213312421232 is an apocalyptic number.

13312421232 is a gapful number since it is divisible by the number (12) 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 13312421232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607495040).

13312421232 is an abundant number, since it is smaller than the sum of its proper divisors (25902568848).

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

13312421232 is a wasteful number, since it uses less digits than its factorization.

13312421232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111 (or 9105 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13312421232 its reverse (23212421331), we get a palindrome (36524842563).

Subtracting 13312421232 from its reverse (23212421331), we obtain a palindrome (9900000099).

The spelling of 13312421232 in words is "thirteen billion, three hundred twelve million, four hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 97 116 132 174 176 194 232 264 291 319 348 388 464 528 582 638 696 776 957 1067 1164 1276 1392 1552 1914 2134 2328 2552 2813 3201 3828 4268 4656 5104 5626 6402 7656 8439 8536 8963 11252 12804 15312 16878 17072 17926 22504 25608 26889 30943 33756 35852 45008 51216 53778 61886 67512 71704 92829 98593 107556 123772 135024 143408 185658 197186 215112 247544 259927 295779 371316 394372 430224 495088 519854 591558 742632 779781 788744 869411 1039708 1183116 1485264 1559562 1577488 1738822 2079416 2366232 2608233 2859197 3119124 3477644 4158832 4732464 5216466 5718394 6238248 6955288 8577591 9563521 10432932 11436788 12476496 13910576 17155182 19127042 20865864 22873576 25212919 28690563 34310364 38254084 41731728 45747152 50425838 57381126 68620728 75638757 76508168 100851676 114762252 137241456 151277514 153016336 201703352 229524504 277342109 302555028 403406704 459049008 554684218 605110056 832026327 1109368436 1210220112 1664052654 2218736872 3328105308 4437473744 6656210616 13312421232