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13321030423224 = 23310733140938317
BaseRepresentation
bin1100000111011000101101…
…0010010101001010111000
31202011110220111212202012110
43001312023102111022320
53221222432242020344
644155332532412320
72543261360232216
oct301661322251270
952143814782173
1013321030423224
114276465439257
1215b18561770a0
137582247c1624
14340a54239cb6
1518179d2a23b9
hexc1d8b4952b8

13321030423224 has 128 divisors (see below), whose sum is σ = 33798683116800. Its totient is φ = 4374718571520.

The previous prime is 13321030423223. The next prime is 13321030423241. The reversal of 13321030423224 is 42232403012331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13321030423191 and 13321030423200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321030423223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347634114 + ... + 347672430.

It is an arithmetic number, because the mean of its divisors is an integer number (264052211850).

Almost surely, 213321030423224 is an apocalyptic number.

It is an amenable number.

13321030423224 is an abundant number, since it is smaller than the sum of its proper divisors (20477652693576).

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

13321030423224 is a wasteful number, since it uses less digits than its factorization.

13321030423224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39173 (or 39169 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13321030423224 its reverse (42232403012331), we get a palindrome (55553433435555).

The spelling of 13321030423224 in words is "thirteen trillion, three hundred twenty-one billion, thirty million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 331 409 428 642 662 818 856 993 1227 1284 1324 1636 1986 2454 2568 2648 3272 3972 4908 7944 9816 35417 38317 43763 70834 76634 87526 106251 114951 131289 135379 141668 153268 175052 212502 229902 262578 270758 283336 306536 350104 406137 425004 459804 525156 541516 812274 850008 919608 1050312 1083032 1624548 3249096 4099919 8199838 12299757 12682927 14485553 15671653 16399676 24599514 25365854 28971106 31343306 32799352 38048781 43456659 47014959 49199028 50731708 57942212 62686612 76097562 86913318 94029918 98398056 101463416 115884424 125373224 152195124 173826636 188059836 304390248 347653272 376119672 1357073189 1676866871 2714146378 3353733742 4071219567 5030600613 5187317143 5428292756 6707467484 8142439134 10061201226 10374634286 10856585512 13414934968 15561951429 16284878268 20122402452 20749268572 31123902858 32569756536 40244804904 41498537144 62247805716 124495611432 555042934301 1110085868602 1665128802903 2220171737204 3330257605806 4440343474408 6660515211612 13321030423224