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13300331100 = 22352743314627
BaseRepresentation
bin11000110001100001…
…01111001001011100
31021022220220211021120
430120300233021130
5204214341043400
610035440130540
7650410643340
oct143060571134
937286824246
1013300331100
115705765681
1226b2306a50
13133c687404
149025c7620
1552c9c8ca0
hex318c2f25c

13300331100 has 144 divisors (see below), whose sum is σ = 44084345088. Its totient is φ = 3032847360.

The previous prime is 13300331081. The next prime is 13300331111. The reversal of 13300331100 is 113300331.

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 13300331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901987 + ... + 916613.

Almost surely, 213300331100 is an apocalyptic number.

13300331100 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 13300331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22042172544).

13300331100 is an abundant number, since it is smaller than the sum of its proper divisors (30784013988).

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

13300331100 is a wasteful number, since it uses less digits than its factorization.

13300331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15084 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13300331100 its reverse (113300331), we get a palindrome (13413631431).

The spelling of 13300331100 in words is "thirteen billion, three hundred million, three hundred thirty-one 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 84 100 105 140 150 175 210 300 350 420 433 525 700 866 1050 1299 1732 2100 2165 2598 3031 4330 5196 6062 6495 8660 9093 10825 12124 12990 14627 15155 18186 21650 25980 29254 30310 32475 36372 43300 43881 45465 58508 60620 64950 73135 75775 87762 90930 102389 129900 146270 151550 175524 181860 204778 219405 227325 292540 303100 307167 365675 409556 438810 454650 511945 614334 731350 877620 909300 1023890 1097025 1228668 1462700 1535835 2047780 2194050 2559725 3071670 4388100 5119450 6143340 6333491 7679175 10238900 12666982 15358350 19000473 25333964 30716700 31667455 38000946 44334437 63334910 76001892 88668874 95002365 126669820 133003311 158337275 177337748 190004730 221672185 266006622 316674550 380009460 443344370 475011825 532013244 633349100 665016555 886688740 950023650 1108360925 1330033110 1900047300 2216721850 2660066220 3325082775 4433443700 6650165550 13300331100