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10313120300 = 2252731661719
BaseRepresentation
bin10011001101011010…
…11011101000101100
3222121201221210102112
421212231123220230
5132110124322200
64423205543152
7513366035060
oct114655335054
928551853375
1010313120300
11441253aa1a
121bb9a14ab8
13c84830162
146db98daa0
1540560e535
hex266b5ba2c

10313120300 has 144 divisors (see below), whose sum is σ = 26478305280. Its totient is φ = 3411936000.

The previous prime is 10313120249. The next prime is 10313120303. The reversal of 10313120300 is 302131301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (10313120303) 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, 14343341 + ... + 14344059.

It is an arithmetic number, because the mean of its divisors is an integer number (183877120).

Almost surely, 210313120300 is an apocalyptic number.

10313120300 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 10313120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13239152640).

10313120300 is an abundant number, since it is smaller than the sum of its proper divisors (16165184980).

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

10313120300 is a wasteful number, since it uses less digits than its factorization.

10313120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10313120300 its reverse (302131301), we get a palindrome (10615251601).

The spelling of 10313120300 in words is "ten billion, three hundred thirteen million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 661 700 719 775 868 1085 1322 1438 1550 2170 2644 2876 3100 3305 3595 4340 4627 5033 5425 6610 7190 9254 10066 10850 13220 14380 16525 17975 18508 20132 20491 21700 22289 23135 25165 33050 35950 40982 44578 46270 50330 66100 71900 81964 89156 92540 100660 102455 111445 115675 125825 143437 156023 204910 222890 231350 251650 286874 312046 409820 445780 462700 475259 503300 512275 557225 573748 624092 717185 780115 950518 1024550 1114450 1434370 1560230 1901036 2049100 2228900 2376295 2868740 3120460 3326813 3585925 3900575 4752590 6653626 7171850 7801150 9505180 11881475 13307252 14343700 14733029 15602300 16634065 23762950 29466058 33268130 47525900 58932116 66536260 73665145 83170325 103131203 147330290 166340650 206262406 294660580 332681300 368325725 412524812 515656015 736651450 1031312030 1473302900 2062624060 2578280075 5156560150 10313120300