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10103301300 = 22352192961121
BaseRepresentation
bin10010110100011010…
…00010010010110100
3222002010010212212110
421122031002102310
5131142421120200
64350312451020
7505240433631
oct113215022264
928063125773
1010103301300
114315060894
121b5b6a9a70
13c502187c1
146bbb73188
153e1eb5b50
hex25a3424b4

10103301300 has 144 divisors (see below), whose sum is σ = 31832337600. Its totient is φ = 2464358400.

The previous prime is 10103301283. The next prime is 10103301311. The reversal of 10103301300 is 310330101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 134740 + ... + 195860.

It is an arithmetic number, because the mean of its divisors is an integer number (221057900).

Almost surely, 210103301300 is an apocalyptic number.

10103301300 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 10103301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916168800).

10103301300 is an abundant number, since it is smaller than the sum of its proper divisors (21729036300).

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

10103301300 is a wasteful number, since it uses less digits than its factorization.

10103301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61186 (or 61179 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10103301300 its reverse (310330101), we get a palindrome (10413631401).

The spelling of 10103301300 in words is "ten billion, one hundred three million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 29 30 38 50 57 58 60 75 76 87 95 100 114 116 145 150 174 190 228 285 290 300 348 380 435 475 551 570 580 725 870 950 1102 1140 1425 1450 1653 1740 1900 2175 2204 2755 2850 2900 3306 4350 5510 5700 6612 8265 8700 11020 13775 16530 27550 33060 41325 55100 61121 82650 122242 165300 183363 244484 305605 366726 611210 733452 916815 1161299 1222420 1528025 1772509 1833630 2322598 3056050 3483897 3545018 3667260 4584075 4645196 5317527 5806495 6112100 6967794 7090036 8862545 9168150 10635054 11612990 13935588 17419485 17725090 18336300 21270108 23225980 26587635 29032475 33677671 34838970 35450180 44312725 53175270 58064950 67355342 69677940 87097425 88625450 101033013 106350540 116129900 132938175 134710684 168388355 174194850 177250900 202066026 265876350 336776710 348389700 404132052 505165065 531752700 673553420 841941775 1010330130 1683883550 2020660260 2525825325 3367767100 5051650650 10103301300