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23023411000 = 2353671133041
BaseRepresentation
bin10101011100010011…
…010101111100111000
32012102112121110102221
4111130103111330320
5334122443123000
614324331333424
71443353523142
oct253423257470
965375543387
1023023411000
11984512a4a7
1245665b1274
13222bb98025
141185a63c92
158eb3d661a
hex55c4d5f38

23023411000 has 128 divisors (see below), whose sum is σ = 55180906560. Its totient is φ = 8988672000.

The previous prime is 23023410983. The next prime is 23023411001. The reversal of 23023411000 is 11432032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023411001) 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 31 ways as a sum of consecutive naturals, for example, 7569480 + ... + 7572520.

Almost surely, 223023411000 is an apocalyptic number.

23023411000 is a gapful number since it is divisible by the number (20) 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 23023411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27590453280).

23023411000 is an abundant number, since it is smaller than the sum of its proper divisors (32157495560).

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

23023411000 is a wasteful number, since it uses less digits than its factorization.

23023411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23023411000 its reverse (11432032), we get a palindrome (23034843032).

The spelling of 23023411000 in words is "twenty-three billion, twenty-three million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 113 125 134 200 226 250 268 335 452 500 536 565 670 904 1000 1130 1340 1675 2260 2680 2825 3041 3350 4520 5650 6082 6700 7571 8375 11300 12164 13400 14125 15142 15205 16750 22600 24328 28250 30284 30410 33500 37855 56500 60568 60820 67000 75710 76025 113000 121640 151420 152050 189275 203747 302840 304100 343633 378550 380125 407494 608200 687266 757100 760250 814988 946375 1018735 1374532 1514200 1520500 1629976 1718165 1892750 2037470 2749064 3041000 3436330 3785500 4074940 5093675 6872660 7571000 8149880 8590825 10187350 13745320 17181650 20374700 23023411 25468375 34363300 40749400 42954125 46046822 50936750 68726600 85908250 92093644 101873500 115117055 171816500 184187288 203747000 230234110 343633000 460468220 575585275 920936440 1151170550 2302341100 2877926375 4604682200 5755852750 11511705500 23023411000