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103101201300 = 22352675579209
BaseRepresentation
bin110000000000101001…
…1110111101110010100
3100212010022002200200010
41200001103313232110
53142122401420200
6115210344320220
710306641515466
oct1400123675624
9325108080603
10103101201300
113a7a7a38589
1217b94473070
1399511684b6
144dc0c8c136
152a3661e150
hex18014f7b94

103101201300 has 144 divisors (see below), whose sum is σ = 303334960320. Its totient is φ = 27031741440.

The previous prime is 103101201283. The next prime is 103101201337. The reversal of 103101201300 is 3102101301.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11191096 + ... + 11200304.

It is an arithmetic number, because the mean of its divisors is an integer number (2106492780).

Almost surely, 2103101201300 is an apocalyptic number.

103101201300 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 103101201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151667480160).

103101201300 is an abundant number, since it is smaller than the sum of its proper divisors (200233759020).

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

103101201300 is a wasteful number, since it uses less digits than its factorization.

103101201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9843 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103101201300 its reverse (3102101301), we get a palindrome (106203302601).

Subtracting from 103101201300 its reverse (3102101301), we obtain a palindrome (99999099999).

The spelling of 103101201300 in words is "one hundred three billion, one hundred one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 557 670 804 1005 1114 1340 1671 1675 2010 2228 2785 3342 3350 4020 5025 5570 6684 6700 8355 9209 10050 11140 13925 16710 18418 20100 27627 27850 33420 36836 37319 41775 46045 55254 55700 74638 83550 92090 110508 111957 138135 149276 167100 184180 186595 223914 230225 276270 373190 447828 460450 552540 559785 617003 690675 746380 920900 932975 1119570 1234006 1381350 1851009 1865950 2239140 2468012 2762700 2798925 3085015 3702018 3731900 5129413 5597850 6170030 7404036 9255045 10258826 11195700 12340060 15388239 15425075 18510090 20517652 25647065 30776478 30850150 37020180 46275225 51294130 61552956 61700300 76941195 92550450 102588260 128235325 153882390 185100900 256470650 307764780 343670671 384705975 512941300 687341342 769411950 1031012013 1374682684 1538823900 1718353355 2062024026 3436706710 4124048052 5155060065 6873413420 8591766775 10310120130 17183533550 20620240260 25775300325 34367067100 51550600650 103101201300