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123204411330 = 235711134102711
BaseRepresentation
bin111001010111110001…
…1100001111111000010
3102210000022211120110120
41302233203201333002
54004310312130310
6132333242041110
711621056134330
oct1625743417702
9383008746416
10123204411330
1148283750850
121ba64aa9196
13b80603ba50
145d6ab5cb50
153311475b70
hex1caf8e1fc2

123204411330 has 128 divisors (see below), whose sum is σ = 397011234816. Its totient is φ = 23631609600.

The previous prime is 123204411311. The next prime is 123204411349. The reversal of 123204411330 is 33114402321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123204411311) and next prime (123204411349).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123204411330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021326 + ... + 2081385.

It is an arithmetic number, because the mean of its divisors is an integer number (3101650272).

Almost surely, 2123204411330 is an apocalyptic number.

123204411330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123204411330 is an abundant number, since it is smaller than the sum of its proper divisors (273806823486).

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

123204411330 is a wasteful number, since it uses less digits than its factorization.

123204411330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102752.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123204411330 its reverse (33114402321), we get a palindrome (156318813651).

Subtracting from 123204411330 its reverse (33114402321), we obtain a palindrome (90090009009).

The spelling of 123204411330 in words is "one hundred twenty-three billion, two hundred four million, four hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 4102711 8205422 12308133 20513555 24616266 28718977 41027110 45129821 53335243 57437954 61540665 86156931 90259642 106670486 123081330 135389463 143594885 160005729 172313862 225649105 266676215 270778926 287189770 315908747 320011458 373346701 430784655 451298210 533352430 586687673 631817494 676947315 746693402 800028645 861569310 947726241 1120040103 1173375346 1353894630 1579543735 1600057290 1760063019 1866733505 1895452482 2240080206 2933438365 3159087470 3520126038 3733467010 4106813711 4738631205 5600200515 5866876730 8213627422 8800315095 9477262410 11200401030 12320441133 17600630190 20534068555 24640882266 41068137110 61602205665 123204411330