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10000331031300 = 22352251195168071
BaseRepresentation
bin1001000110000110001000…
…1011011100001100000100
31022102000121021010101101220
42101201202023130030010
52302321134221000200
633134031052120340
72051333345146161
oct221414213341404
938360537111356
1010000331031300
113206131182805
12115616a7660b0
135770478cc82c
1426803909d068
151251e90314a0
hex918622dc304

10000331031300 has 144 divisors (see below), whose sum is σ = 29064883728384. Its totient is φ = 2654730000000.

The previous prime is 10000331031293. The next prime is 10000331031389. The reversal of 10000331031300 is 313013300001.

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 10000331031300.

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, 146876265 + ... + 146944335.

It is an arithmetic number, because the mean of its divisors is an integer number (201839470336).

Almost surely, 210000331031300 is an apocalyptic number.

10000331031300 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 10000331031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532441864192).

10000331031300 is an abundant number, since it is smaller than the sum of its proper divisors (19064552697084).

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

10000331031300 is a wasteful number, since it uses less digits than its factorization.

10000331031300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70290 (or 70283 counting only the distinct ones).

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

Adding to 10000331031300 its reverse (313013300001), we get a palindrome (10313344331301).

The spelling of 10000331031300 in words is "ten trillion, three hundred thirty-one million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 251 300 502 753 1004 1255 1506 1951 2510 3012 3765 3902 5020 5853 6275 7530 7804 9755 11706 12550 15060 18825 19510 23412 25100 29265 37650 39020 48775 58530 68071 75300 97550 117060 136142 146325 195100 204213 272284 292650 340355 408426 489701 585300 680710 816852 979402 1021065 1361420 1469103 1701775 1958804 2042130 2448505 2938206 3403550 4084260 4897010 5105325 5876412 6807100 7345515 9794020 10210650 12242525 14691030 17085821 20421300 24485050 29382060 34171642 36727575 48970100 51257463 68343284 73455150 85429105 102514926 132806521 146910300 170858210 205029852 256287315 265613042 341716420 398419563 427145525 512574630 531226084 664032605 796839126 854291050 1025149260 1281436575 1328065210 1593678252 1708582100 1992097815 2562873150 2656130420 3320163025 3984195630 5125746300 6640326050 7968391260 9960489075 13280652100 19920978150 33334436771 39841956300 66668873542 100003310313 133337747084 166672183855 200006620626 333344367710 400013241252 500016551565 666688735420 833360919275 1000033103130 1666721838550 2000066206260 2500082757825 3333443677100 5000165515650 10000331031300