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23024441300 = 225271719101833
BaseRepresentation
bin10101011100010111…
…010001011111010100
32012102121112210202012
4111130113101133110
5334123224110200
614324405403352
71443365344010
oct253427213724
965377483665
1023024441300
119845773593
124566a09558
13222c168c83
141185c51540
158eb53ba35
hex55c5d17d4

23024441300 has 144 divisors (see below), whose sum is σ = 63642176640. Its totient is φ = 7038627840.

The previous prime is 23024441291. The next prime is 23024441309. The reversal of 23024441300 is 314442032.

It is an interprime number because it is at equal distance from previous prime (23024441291) and next prime (23024441309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23024441309) 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 47 ways as a sum of consecutive naturals, for example, 175184 + ... + 277016.

It is an arithmetic number, because the mean of its divisors is an integer number (441959560).

Almost surely, 223024441300 is an apocalyptic number.

23024441300 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 23024441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31821088320).

23024441300 is an abundant number, since it is smaller than the sum of its proper divisors (40617735340).

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

23024441300 is a wasteful number, since it uses less digits than its factorization.

23024441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101890 (or 101883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 23024441300 its reverse (314442032), we get a palindrome (23338883332).

The spelling of 23024441300 in words is "twenty-three billion, twenty-four million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 5950 6460 6650 8075 9044 11305 11900 13300 16150 22610 32300 45220 56525 101833 113050 203666 226100 407332 509165 712831 1018330 1425662 1731161 1934827 2036660 2545825 2851324 3462322 3564155 3869654 5091650 6924644 7128310 7739308 8655805 9674135 10183300 12118127 13543789 14256620 17311610 17820775 19348270 24236254 27087578 32892059 34623220 35641550 38696540 43279025 48370675 48472508 54175156 60590635 65784118 67718945 71283100 86558050 96741350 121181270 131568236 135437890 164460295 173116100 193482700 230244413 242362540 270875780 302953175 328920590 338594725 460488826 605906350 657841180 677189450 822301475 920977652 1151222065 1211812700 1354378900 1644602950 2302444130 3289205900 4604888260 5756110325 11512220650 23024441300