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23233100000 = 25551121121
BaseRepresentation
bin10101101000110011…
…001111100011100000
32012222011011202200012
4111220303033203200
5340040133200000
614401221544052
71451511043265
oct255063174340
965864152605
1023233100000
11994252a9a0
124604875028
132263465466
1411a584926c
1590ea06735
hex568ccf8e0

23233100000 has 144 divisors (see below), whose sum is σ = 62371914192. Its totient is φ = 8448000000.

The previous prime is 23233099999. The next prime is 23233100027. The reversal of 23233100000 is 133232.

It is a super-2 number, since 2×232331000002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089440 + ... + 1110560.

It is an arithmetic number, because the mean of its divisors is an integer number (433138293).

Almost surely, 223233100000 is an apocalyptic number.

23233100000 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 23233100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31185957096).

23233100000 is an abundant number, since it is smaller than the sum of its proper divisors (39138814192).

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

23233100000 is an equidigital number, since it uses as much as digits as its factorization.

23233100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21167 (or 21139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 23233100000 its reverse (133232), we get a palindrome (23233233232).

The spelling of 23233100000 in words is "twenty-three billion, two hundred thirty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 21121 22000 25000 27500 34375 42242 44000 50000 55000 68750 84484 100000 105605 110000 137500 168968 211210 220000 232331 275000 337936 422420 464662 528025 550000 675872 844840 929324 1056050 1100000 1161655 1689680 1858648 2112100 2323310 2640125 3379360 3717296 4224200 4646620 5280250 5808275 7434592 8448400 9293240 10560500 11616550 13200625 16896800 18586480 21121000 23233100 26401250 29041375 37172960 42242000 46466200 52802500 58082750 66003125 84484000 92932400 105605000 116165500 132006250 145206875 185864800 211210000 232331000 264012500 290413750 422420000 464662000 528025000 580827500 726034375 929324000 1056050000 1161655000 1452068750 2112100000 2323310000 2904137500 4646620000 5808275000 11616550000 23233100000