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23310203120 = 2457122917921
BaseRepresentation
bin10101101101011001…
…010111100011110000
32020011112021000021022
4111231121113203300
5340214402444440
614413014315012
71453435312601
oct255531274360
966145230238
1023310203120
119982002686
124626658a68
1322764200c9
1411b1b99da8
15916686cb5
hex56d6578f0

23310203120 has 80 divisors (see below), whose sum is σ = 55202627520. Its totient is φ = 9152102400.

The previous prime is 23310203069. The next prime is 23310203129. The reversal of 23310203120 is 2130201332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23310203129) 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 15 ways as a sum of consecutive naturals, for example, 1291760 + ... + 1309680.

It is an arithmetic number, because the mean of its divisors is an integer number (690032844).

Almost surely, 223310203120 is an apocalyptic number.

23310203120 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 23310203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27601313760).

23310203120 is an abundant number, since it is smaller than the sum of its proper divisors (31892424400).

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

23310203120 is a wasteful number, since it uses less digits than its factorization.

23310203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18234 (or 18228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23310203120 its reverse (2130201332), we get a palindrome (25440404452).

The spelling of 23310203120 in words is "twenty-three billion, three hundred ten million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 229 284 355 458 568 710 916 1136 1145 1420 1832 2290 2840 3664 4580 5680 9160 16259 17921 18320 32518 35842 65036 71684 81295 89605 130072 143368 162590 179210 260144 286736 325180 358420 650360 716840 1272391 1300720 1433680 2544782 4103909 5089564 6361955 8207818 10179128 12723910 16415636 20358256 20519545 25447820 32831272 41039090 50895640 65662544 82078180 101791280 164156360 291377539 328312720 582755078 1165510156 1456887695 2331020312 2913775390 4662040624 5827550780 11655101560 23310203120