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1301030031300 = 22352231131668629
BaseRepresentation
bin10010111011101011011…
…011101100111111000100
311121101012000112110112120
4102323223123230333010
5132304002142000200
62433403540445540
7162665510541156
oct22735333547704
94541160473476
101301030031300
11461844597a2a
121901943a98b0
13958c061a90c
1446d822b2ad6
1523c995899a0
hex12eeb6ecfc4

1301030031300 has 144 divisors (see below), whose sum is σ = 3962742618240. Its totient is φ = 328919951360.

The previous prime is 1301030031299. The next prime is 1301030031311. The reversal of 1301030031300 is 31300301031.

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 1301030031300.

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, 54615 + ... + 1614014.

It is an arithmetic number, because the mean of its divisors is an integer number (27519045960).

Almost surely, 21301030031300 is an apocalyptic number.

1301030031300 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 1301030031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981371309120).

1301030031300 is an abundant number, since it is smaller than the sum of its proper divisors (2661712586940).

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

1301030031300 is a wasteful number, since it uses less digits than its factorization.

1301030031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668782 (or 1668775 counting only the distinct ones).

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

Adding to 1301030031300 its reverse (31300301031), we get a palindrome (1332330332331).

The spelling of 1301030031300 in words is "one trillion, three hundred one billion, thirty million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 113 115 138 150 226 230 276 300 339 345 452 460 565 575 678 690 1130 1150 1356 1380 1695 1725 2260 2300 2599 2825 3390 3450 5198 5650 6780 6900 7797 8475 10396 11300 12995 15594 16950 25990 31188 33900 38985 51980 64975 77970 129950 155940 194925 259900 389850 779700 1668629 3337258 5005887 6674516 8343145 10011774 16686290 20023548 25029435 33372580 38378467 41715725 50058870 76756934 83431450 100117740 115135401 125147175 153513868 166862900 188555077 191892335 230270802 250294350 377110154 383784670 460541604 500588700 565665231 575677005 754220308 767569340 942775385 959461675 1131330462 1151354010 1885550770 1918923350 2262660924 2302708020 2828326155 2878385025 3771101540 3837846700 4336766771 4713876925 5656652310 5756770050 8673533542 9427753850 11313304620 11513540100 13010300313 14141630775 17347067084 18855507700 21683833855 26020600626 28283261550 43367667710 52041201252 56566523100 65051501565 86735335420 108419169275 130103003130 216838338550 260206006260 325257507825 433676677100 650515015650 1301030031300