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1200001103310 = 235293163596997
BaseRepresentation
bin10001011101100101101…
…000111011010111001110
311020201102010210011102210
4101131211220323113032
5124130100240301220
62315134540131250
7152461101036462
oct21354550732716
94221363704383
101200001103310
11422a10380019
12174699b36b26
138920c8b2c59
144211a7344a2
1521334d576e0
hex11765a3b5ce

1200001103310 has 128 divisors (see below), whose sum is σ = 3076343193600. Its totient is φ = 298909416960.

The previous prime is 1200001103297. The next prime is 1200001103363. The reversal of 1200001103310 is 133011000021.

It is a super-5 number, since 5×12000011033105 (a number of 62 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171498732 + ... + 171505728.

It is an arithmetic number, because the mean of its divisors is an integer number (24033931200).

Almost surely, 21200001103310 is an apocalyptic number.

1200001103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200001103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538171596800).

1200001103310 is an abundant number, since it is smaller than the sum of its proper divisors (1876342090290).

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

1200001103310 is a wasteful number, since it uses less digits than its factorization.

1200001103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426.

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

Adding to 1200001103310 its reverse (133011000021), we get a palindrome (1333012103331).

The spelling of 1200001103310 in words is "one trillion, two hundred billion, one million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 1798 2697 4495 5394 6359 6997 8990 12718 13485 13994 19077 20991 26970 31795 34985 38154 41982 63590 69970 95385 104955 184411 190770 197129 202913 209910 216907 368822 394258 405826 433814 553233 591387 608739 650721 922055 985645 1014565 1084535 1106466 1182774 1217478 1301442 1844110 1971290 2029130 2169070 2766165 2956935 3043695 3253605 5532330 5716741 5913870 6087390 6290303 6507210 11433482 12580606 17150223 18870909 28583705 31451515 34300446 37741818 44493923 57167410 62903030 85751115 88987846 94354545 133481769 171502230 188709090 222469615 266963538 444939230 667408845 1290323767 1334817690 1379311613 2580647534 2758623226 3870971301 4137934839 6451618835 6896558065 7741942602 8275869678 12903237670 13793116130 19354856505 20689674195 38709713010 40000036777 41379348390 80000073554 120000110331 200000183885 240000220662 400000367770 600000551655 1200001103310