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10310324100 = 22352318111367
BaseRepresentation
bin10011001101000101…
…10000111110000100
3222121112200201202120
421212202300332010
5132103420332400
64423030005540
7513333210636
oct114642607604
928545621676
1010310324100
114410a0010a
121bb8aa68b0
13c840914bb
146db462a56
1540525aca0
hex2668b0f84

10310324100 has 144 divisors (see below), whose sum is σ = 30854025216. Its totient is φ = 2655504000.

The previous prime is 10310324099. The next prime is 10310324107. The reversal of 10310324100 is 142301301.

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 10310324100.

It is not an unprimeable number, because it can be changed into a prime (10310324107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7541617 + ... + 7542983.

It is an arithmetic number, because the mean of its divisors is an integer number (214264064).

Almost surely, 210310324100 is an apocalyptic number.

10310324100 is a gapful number since it is divisible by the number (10) 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 10310324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427012608).

10310324100 is an abundant number, since it is smaller than the sum of its proper divisors (20543701116).

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

10310324100 is a wasteful number, since it uses less digits than its factorization.

10310324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10310324100 its reverse (142301301), we get a palindrome (10452625401).

The spelling of 10310324100 in words is "ten billion, three hundred ten million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 811 930 1367 1550 1622 1860 2325 2433 2734 3100 3244 4055 4101 4650 4866 5468 6835 8110 8202 9300 9732 12165 13670 16220 16404 20275 20505 24330 25141 27340 34175 40550 41010 42377 48660 50282 60825 68350 75423 81100 82020 84754 100564 102525 121650 125705 127131 136700 150846 169508 205050 211885 243300 251410 254262 301692 377115 410100 423770 502820 508524 628525 635655 754230 847540 1059425 1108637 1257050 1271310 1508460 1885575 2118850 2217274 2514100 2542620 3178275 3325911 3771150 4237700 4434548 5543185 6356550 6651822 7542300 11086370 12713100 13303644 16629555 22172740 27715925 33259110 34367747 55431850 66518220 68735494 83147775 103103241 110863700 137470988 166295550 171838735 206206482 332591100 343677470 412412964 515516205 687354940 859193675 1031032410 1718387350 2062064820 2577581025 3436774700 5155162050 10310324100