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1233120042 = 232711889697
BaseRepresentation
bin100100101111111…
…1110101100101010
310011221022222200200
41021133332230222
510011134320132
6322210013030
742362230110
oct11137765452
93157288620
101233120042
11583078380
122a4b77176
1316861c63b
14b9ab1ab0
15733cdd7c
hex497feb2a

1233120042 has 48 divisors (see below), whose sum is σ = 3331029312. Its totient is φ = 320290560.

The previous prime is 1233120019. The next prime is 1233120043. The reversal of 1233120042 is 2400213321.

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 = 1233119997 and 1233120024.

It is not an unprimeable number, because it can be changed into a prime (1233120043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 443463 + ... + 446234.

It is an arithmetic number, because the mean of its divisors is an integer number (69396444).

Almost surely, 21233120042 is an apocalyptic number.

1233120042 is an abundant number, since it is smaller than the sum of its proper divisors (2097909270).

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

1233120042 is a wasteful number, since it uses less digits than its factorization.

1233120042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889723 (or 889720 counting only the distinct ones).

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

The square root of 1233120042 is about 35115.8090039230. The cubic root of 1233120042 is about 1072.3464510317.

Adding to 1233120042 its reverse (2400213321), we get a palindrome (3633333363).

The spelling of 1233120042 in words is "one billion, two hundred thirty-three million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 889697 1779394 2669091 5338182 6227879 8007273 9786667 12455758 16014546 18683637 19573334 29360001 37367274 56050911 58720002 68506669 88080003 112101822 137013338 176160006 205520007 411040014 616560021 1233120042