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10001310102300 = 223521110130006931
BaseRepresentation
bin1001000110001001110010…
…0010010011001100011100
31022102010010111102100022210
42101202130202103030130
52302330140341233200
633134312145040420
72051366534131446
oct221423442231434
938363114370283
1010001310102300
1132065939012a0
1211563a2626110
135771726bc79a
142680cd11d496
15125254e7b650
hex9189c89331c

10001310102300 has 144 divisors (see below), whose sum is σ = 31880324778624. Its totient is φ = 2400554400000.

The previous prime is 10001310102293. The next prime is 10001310102359. The reversal of 10001310102300 is 320101310001.

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, 14670166 + ... + 15336765.

It is an arithmetic number, because the mean of its divisors is an integer number (221391144296).

Almost surely, 210001310102300 is an apocalyptic number.

10001310102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001310102300 is an abundant number, since it is smaller than the sum of its proper divisors (21879014676324).

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

10001310102300 is a wasteful number, since it uses less digits than its factorization.

10001310102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30007060 (or 30007053 counting only the distinct ones).

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

Adding to 10001310102300 its reverse (320101310001), we get a palindrome (10321411412301).

The spelling of 10001310102300 in words is "ten trillion, one billion, three hundred ten million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 30006931 60013862 90020793 120027724 150034655 180041586 300069310 330076241 360083172 450103965 600138620 660152482 750173275 900207930 990228723 1320304964 1500346550 1650381205 1800415860 1980457446 2250519825 3000693100 3030700031 3300762410 3960914892 4501039650 4951143615 6061400062 6601524820 8251906025 9002079300 9092100093 9902287230 12122800124 15153500155 16503812050 18184200186 19804574460 24755718075 30307000310 33007624100 33337700341 36368400372 45460500465 49511436150 60614000620 66675400682 75767500775 90921000930 99022872300 100013101023 133350801364 151535001550 166688501705 181842001860 200026202046 227302502325 303070003100 333377003410 400052404092 454605004650 500065505115 666754006820 833442508525 909210009300 1000131010230 1666885017050 2000262020460 2500327525575 3333770034100 5000655051150 10001310102300