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23232351300 = 223521712735869
BaseRepresentation
bin10101101000110000…
…011000110001000100
32012222002202201122120
4111220300120301010
5340034440220200
614401153525540
71451501504424
oct255060306104
965862681576
1023232351300
119942069434
1246045738b0
132263262742
1411a56d2484
1590e9099a0
hex568c18c44

23232351300 has 144 divisors (see below), whose sum is σ = 71735408640. Its totient is φ = 5784791040.

The previous prime is 23232351299. The next prime is 23232351323. The reversal of 23232351300 is 315323232.

It is a super-2 number, since 2×232323513002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 629766 + ... + 665634.

It is an arithmetic number, because the mean of its divisors is an integer number (498162560).

Almost surely, 223232351300 is an apocalyptic number.

23232351300 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 23232351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35867704320).

23232351300 is an abundant number, since it is smaller than the sum of its proper divisors (48503057340).

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

23232351300 is a wasteful number, since it uses less digits than its factorization.

23232351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36030 (or 36023 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 23232351300 its reverse (315323232), we get a palindrome (23547674532).

The spelling of 23232351300 in words is "twenty-three billion, two hundred thirty-two million, three hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 127 150 170 204 254 255 300 340 381 425 508 510 635 762 850 1020 1270 1275 1524 1700 1905 2159 2540 2550 3175 3810 4318 5100 6350 6477 7620 8636 9525 10795 12700 12954 19050 21590 25908 32385 35869 38100 43180 53975 64770 71738 107607 107950 129540 143476 161925 179345 215214 215900 323850 358690 430428 538035 609773 647700 717380 896725 1076070 1219546 1793450 1829319 2152140 2439092 2690175 3048865 3586900 3658638 4555363 5380350 6097730 7317276 9110726 9146595 10760700 12195460 13666089 15244325 18221452 18293190 22776815 27332178 30488650 36586380 45553630 45732975 54664356 60977300 68330445 77441171 91107260 91465950 113884075 136660890 154882342 182931900 227768150 232323513 273321780 309764684 341652225 387205855 455536300 464647026 683304450 774411710 929294052 1161617565 1366608900 1548823420 1936029275 2323235130 3872058550 4646470260 5808087825 7744117100 11616175650 23232351300