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12433313002104 = 23357829816929
BaseRepresentation
bin1011010011101101101100…
…1101000111001001111000
31122000121112221221022200000
42310323123031013021320
53112201411112031404
642235441331313000
72422164041526441
oct264733315071170
948017487838600
1012433313002104
113a63a360657a5
1214897ab44b760
136c25c18a8497
1430dac01cc2c8
15168644213339
hexb4edb347278

12433313002104 has 96 divisors (see below), whose sum is σ = 34925227974000. Its totient is φ = 4143903224832.

The previous prime is 12433313002067. The next prime is 12433313002109. The reversal of 12433313002104 is 40120031333421.

It is a happy number.

12433313002104 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 331 + 300 + 21 + 0 + 4 = 666.

It is a super-2 number, since 2×124333130021042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433313002109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14811112 + ... + 15628040.

Almost surely, 212433313002104 is an apocalyptic number.

It is an amenable number.

12433313002104 is an abundant number, since it is smaller than the sum of its proper divisors (22491914971896).

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

12433313002104 is an equidigital number, since it uses as much as digits as its factorization.

12433313002104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824779 (or 824763 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12433313002104 its reverse (40120031333421), we get a palindrome (52553344335525).

The spelling of 12433313002104 in words is "twelve trillion, four hundred thirty-three billion, three hundred thirteen million, two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 7829 15658 23487 31316 46974 62632 70461 93948 140922 187896 211383 281844 422766 563688 634149 816929 845532 1268298 1633858 1691064 1902447 2450787 2536596 3267716 3804894 4901574 5073192 6535432 7352361 7609788 9803148 14704722 15219576 19606296 22057083 29409444 44114166 58818888 66171249 88228332 132342498 176456664 198513747 264684996 397027494 529369992 794054988 1588109976 6395737141 12791474282 19187211423 25582948564 38374422846 51165897128 57561634269 76748845692 115123268538 153497691384 172684902807 230246537076 345369805614 460493074152 518054708421 690739611228 1036109416842 1381479222456 1554164125263 2072218833684 3108328250526 4144437667368 6216656501052 12433313002104