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1301002300 = 22521347107199
BaseRepresentation
bin100110110001011…
…1011100000111100
310100200001202122101
41031202323200330
510131024033200
6333032554444
744145223423
oct11542734074
93320052571
101301002300
11608422314
12303852a24
131796c9260
14c4b022ba
157933c26a
hex4d8bb83c

1301002300 has 144 divisors (see below), whose sum is σ = 3149798400. Its totient is φ = 463415040.

The previous prime is 1301002271. The next prime is 1301002349. The reversal of 1301002300 is 32001031.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 6537601 + ... + 6537799.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 21301002300 is an apocalyptic number.

1301002300 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 1301002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1301002300 is an abundant number, since it is smaller than the sum of its proper divisors (1848796100).

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

1301002300 is a wasteful number, since it uses less digits than its factorization.

1301002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1301002300 is about 36069.4094767297. The cubic root of 1301002300 is about 1091.6732989775.

Adding to 1301002300 its reverse (32001031), we get a palindrome (1333003331).

The spelling of 1301002300 in words is "one billion, three hundred one million, two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 107 130 188 199 214 235 260 325 398 428 470 535 611 650 796 940 995 1070 1175 1222 1300 1391 1990 2140 2350 2444 2587 2675 2782 3055 3980 4700 4975 5029 5174 5350 5564 6110 6955 9353 9950 10058 10348 10700 12220 12935 13910 15275 18706 19900 20116 21293 25145 25870 27820 30550 34775 37412 42586 46765 50290 51740 61100 64675 65377 69550 85172 93530 100580 106465 121589 125725 129350 130754 139100 187060 212930 233825 243178 251450 258700 261508 276809 326885 425860 467650 486356 502900 532325 553618 607945 653770 935300 1000771 1064650 1107236 1215890 1307540 1384045 1634425 2001542 2129300 2431780 2768090 3039725 3268850 4003084 5003855 5536180 6079450 6537700 6920225 10007710 12158900 13010023 13840450 20015420 25019275 26020046 27680900 50038550 52040092 65050115 100077100 130100230 260200460 325250575 650501150 1301002300