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23110313100 = 22352760118311
BaseRepresentation
bin10101100001011110…
…110110010010001100
32012122121010112201020
4111201132312102030
5334312220004400
614341114114140
71445460264060
oct254136662214
965577115636
1023110313100
11988a195316
12458b71b950
132243ba3ba4
141193405aa0
15903d502a0
hex5617b648c

23110313100 has 144 divisors (see below), whose sum is σ = 76549433856. Its totient is φ = 5273280000.

The previous prime is 23110313059. The next prime is 23110313153. The reversal of 23110313100 is 131301132.

It is a super-2 number, since 2×231103131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23110313100.

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 47 ways as a sum of consecutive naturals, for example, 1252945 + ... + 1271255.

Almost surely, 223110313100 is an apocalyptic number.

23110313100 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 23110313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38274716928).

23110313100 is an abundant number, since it is smaller than the sum of its proper divisors (53439120756).

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

23110313100 is a wasteful number, since it uses less digits than its factorization.

23110313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18936 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 23110313100 its reverse (131301132), we get a palindrome (23241614232).

The spelling of 23110313100 in words is "twenty-three billion, one hundred ten million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 601 700 1050 1202 1803 2100 2404 3005 3606 4207 6010 7212 8414 9015 12020 12621 15025 16828 18030 18311 21035 25242 30050 36060 36622 42070 45075 50484 54933 60100 63105 73244 84140 90150 91555 105175 109866 126210 128177 180300 183110 210350 219732 252420 256354 274665 315525 366220 384531 420700 457775 512708 549330 631050 640885 769062 915550 1098660 1262100 1281770 1373325 1538124 1831100 1922655 2563540 2746650 3204425 3845310 5493300 6408850 7690620 9613275 11004911 12817700 19226550 22009822 33014733 38453100 44019644 55024555 66029466 77034377 110049110 132058932 154068754 165073665 220098220 231103131 275122775 308137508 330147330 385171885 462206262 550245550 660294660 770343770 825368325 924412524 1100491100 1155515655 1540687540 1650736650 1925859425 2311031310 3301473300 3851718850 4622062620 5777578275 7703437700 11555156550 23110313100