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12301220233032 = 233139283110311813
BaseRepresentation
bin1011001100000001100111…
…0111001011111101001000
31121112222121012002101120120
42303000121313023331020
53103020344334424112
642055034053023240
72406506463522513
oct263003167137510
947488535071516
1012301220233032
113a12a11147255
121468085924b20
136b3000278173
1430754cbd9d7a
15164eb27b4e8c
hexb3019dcbf48

12301220233032 has 128 divisors (see below), whose sum is σ = 31114560153600. Its totient is φ = 4052501782272.

The previous prime is 12301220233031. The next prime is 12301220233139. The reversal of 12301220233032 is 23033202210321.

12301220233032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12301220232993 and 12301220233011.

It is not an unprimeable number, because it can be changed into a prime (12301220233031) 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, 1041323158 + ... + 1041334970.

It is an arithmetic number, because the mean of its divisors is an integer number (243082501200).

Almost surely, 212301220233032 is an apocalyptic number.

12301220233032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12301220233032 is an abundant number, since it is smaller than the sum of its proper divisors (18813339920568).

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

12301220233032 is a wasteful number, since it uses less digits than its factorization.

12301220233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13347 (or 13343 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12301220233032 its reverse (23033202210321), we get a palindrome (35334422443353).

The spelling of 12301220233032 in words is "twelve trillion, three hundred one billion, two hundred twenty million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 139 278 283 417 556 566 834 849 1103 1112 1132 1668 1698 2206 2264 3309 3336 3396 4412 6618 6792 8824 11813 13236 23626 26472 35439 39337 47252 70878 78674 94504 118011 141756 153317 157348 236022 283512 306634 312149 314696 459951 472044 613268 624298 919902 936447 944088 1226536 1248596 1642007 1839804 1872894 2497192 3284014 3343079 3679608 3745788 4926021 6568028 6686158 7491576 9852042 10029237 13029739 13136056 13372316 19704084 20058474 26059478 26744632 39089217 39408168 40116948 43388711 52118956 78178434 80233896 86777422 104237912 130166133 156356868 173554844 260332266 312713736 347109688 464687981 520664532 929375962 1041329064 1394063943 1811133721 1858751924 2788127886 3622267442 3687416137 3717503848 5433401163 5576255772 7244534884 7374832274 10866802326 11062248411 11152511544 14489069768 14749664548 21733604652 22124496822 29499329096 43467209304 44248993644 88497987288 512550843043 1025101686086 1537652529129 2050203372172 3075305058258 4100406744344 6150610116516 12301220233032