Search a number
-
+
32012203001232 = 24329731327237401
BaseRepresentation
bin1110100011101011010111…
…11111010000010110010000
311012100100002110122022010210
413101311223333100112100
513143441442432014412
6152030111504524120
76512543142605316
oct721655377202620
9135310073568123
1032012203001232
11a222332046323
12371021a020640
1314b2978c034bc
147c95827bc0b6
153a7a9e27583c
hex1d1d6bfd0590

32012203001232 has 160 divisors (see below), whose sum is σ = 86787485959680. Its totient is φ = 10153943654400.

The previous prime is 32012203001137. The next prime is 32012203001281. The reversal of 32012203001232 is 23210030221023.

It is a happy number.

It is a super-2 number, since 2×320122030012322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32012203001199 and 32012203001208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134725732 + ... + 134963132.

It is an arithmetic number, because the mean of its divisors is an integer number (542421787248).

Almost surely, 232012203001232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32012203001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43393742979840).

32012203001232 is an abundant number, since it is smaller than the sum of its proper divisors (54775282958448).

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

32012203001232 is a wasteful number, since it uses less digits than its factorization.

32012203001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238841 (or 238835 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32012203001232 its reverse (23210030221023), we get a palindrome (55222233222255).

The spelling of 32012203001232 in words is "thirty-two trillion, twelve billion, two hundred three million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 73 87 116 146 174 219 232 292 348 438 464 584 696 876 1168 1327 1392 1752 2117 2654 3504 3981 4234 5308 6351 7962 8468 10616 12702 15924 16936 21232 25404 31848 33872 38483 50808 63696 76966 96871 101616 115449 153932 193742 230898 237401 290613 307864 387484 461796 474802 581226 615728 712203 774968 923592 949604 1162452 1424406 1549936 1847184 1899208 2324904 2809259 2848812 3798416 4649808 5618518 5697624 6884629 8427777 11237036 11395248 13769258 16855554 17330273 20653887 22474072 27538516 33711108 34660546 41307774 44948144 51990819 55077032 67422216 69321092 82615548 103981638 110154064 134844432 138642184 165231096 207963276 277284368 315031127 330462192 415926552 502577917 630062254 831853104 945093381 1005155834 1260124508 1507733751 1890186762 2010311668 2520249016 3015467502 3780373524 4020623336 5040498032 6030935004 7560747048 8041246672 9135902683 12061870008 15121494096 18271805366 22997272271 24123740016 27407708049 36543610732 45994544542 54815416098 68991816813 73087221464 91989089084 109630832196 137983633626 146174442928 183978178168 219261664392 275967267252 367956356336 438523328784 551934534504 666920895859 1103869069008 1333841791718 2000762687577 2667683583436 4001525375154 5335367166872 8003050750308 10670734333744 16006101500616 32012203001232