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12433122 = 2331389199
BaseRepresentation
bin101111011011…
…011011100010
3212101200001000
4233123123202
511140324442
61122252430
7210452112
oct57333342
925350030
1012433122
117022209
1241b7116
1327641a0
141919042
151158d4c
hexbdb6e2

12433122 has 64 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 3763584.

The previous prime is 12433121. The next prime is 12433153. The reversal of 12433122 is 22133421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12433095 and 12433104.

It is not an unprimeable number, because it can be changed into a prime (12433121) 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, 62379 + ... + 62577.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 212433122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12433122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

12433122 is an abundant number, since it is smaller than the sum of its proper divisors (17806878).

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

12433122 is a wasteful number, since it uses less digits than its factorization.

12433122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 12433122 is about 3526.0632439025. The cubic root of 12433122 is about 231.6648077648.

Adding to 12433122 its reverse (22133421), we get a palindrome (34566543).

The spelling of 12433122 in words is "twelve million, four hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 89 117 178 199 234 267 351 398 534 597 702 801 1157 1194 1602 1791 2314 2403 2587 3471 3582 4806 5174 5373 6942 7761 10413 10746 15522 17711 20826 23283 31239 35422 46566 53133 62478 69849 106266 139698 159399 230243 318798 460486 478197 690729 956394 1381458 2072187 4144374 6216561 12433122