Search a number
-
+
423123123200 = 2105217395539
BaseRepresentation
bin1100010100001000001…
…10100111110000000000
31111110011011210201212012
412022010012213300000
523413024004420300
6522214032552052
742366246130241
oct6120406476000
91443134721765
10423123123200
11153499a77078
126a0070b2628
1330b92078b6b
141669d180cc8
15b016929435
hex62841a7c00

423123123200 has 132 divisors (see below), whose sum is σ = 1054906629720. Its totient is φ = 168269168640.

The previous prime is 423123123187. The next prime is 423123123209. The reversal of 423123123200 is 2321321324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423123123209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4381031 + ... + 4476569.

Almost surely, 2423123123200 is an apocalyptic number.

423123123200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423123123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527453314860).

423123123200 is an abundant number, since it is smaller than the sum of its proper divisors (631783506520).

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

423123123200 is a wasteful number, since it uses less digits than its factorization.

423123123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95742 (or 95719 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 423123123200 its reverse (2321321324), we get a palindrome (425444444524).

The spelling of 423123123200 in words is "four hundred twenty-three billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 173 200 256 320 346 400 512 640 692 800 865 1024 1280 1384 1600 1730 2560 2768 3200 3460 4325 5120 5536 6400 6920 8650 11072 12800 13840 17300 22144 25600 27680 34600 44288 55360 69200 88576 95539 110720 138400 177152 191078 221440 276800 382156 442880 477695 553600 764312 885760 955390 1107200 1528624 1910780 2214400 2388475 3057248 3821560 4428800 4776950 6114496 7643120 9553900 12228992 15286240 16528247 19107800 24457984 30572480 33056494 38215600 48915968 61144960 66112988 76431200 82641235 97831936 122289920 132225976 152862400 165282470 244579840 264451952 305724800 330564940 413206175 489159680 528903904 611449600 661129880 826412350 1057807808 1222899200 1322259760 1652824700 2115615616 2445798400 2644519520 3305649400 4231231232 5289039040 6611298800 8462462464 10578078080 13222597600 16924924928 21156156160 26445195200 42312312320 52890390400 84624624640 105780780800 211561561600 423123123200