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1100022010010 = 2571112711248819
BaseRepresentation
bin10000000000011110011…
…010111101000010011010
310220011100102110222210022
4100000132122331002122
5121010321113310020
62201202041150442
7142321366544450
oct20003632750232
93804312428708
101100022010010
11394575824490
1215923718b422
137c968513551
143b3543969d0
151d93289c625
hex1001e6bd09a

1100022010010 has 64 divisors (see below), whose sum is σ = 2488059002880. Its totient is φ = 340164256320.

The previous prime is 1100022010001. The next prime is 1100022010019. The reversal of 1100022010010 is 100102200011.

It is an interprime number because it is at equal distance from previous prime (1100022010001) and next prime (1100022010019).

It is a super-3 number, since 3×11000220100103 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1100022010010.

It is not an unprimeable number, because it can be changed into a prime (1100022010019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5526620 + ... + 5722199.

It is an arithmetic number, because the mean of its divisors is an integer number (38875921920).

Almost surely, 21100022010010 is an apocalyptic number.

1100022010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100022010010 is an abundant number, since it is smaller than the sum of its proper divisors (1388036992870).

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

1100022010010 is a wasteful number, since it uses less digits than its factorization.

1100022010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248971.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1100022010010 its reverse (100102200011), we get a palindrome (1200124210021).

The spelling of 1100022010010 in words is "one trillion, one hundred billion, twenty-two million, ten thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 127 154 254 385 635 770 889 1270 1397 1778 2794 4445 6985 8890 9779 13970 19558 48895 97790 11248819 22497638 56244095 78741733 112488190 123737009 157483466 247474018 393708665 618685045 787417330 866159063 1237370090 1428600013 1732318126 2857200026 4330795315 7143000065 8661590630 10000200091 14286000130 15714600143 20000400182 31429200286 50001000455 78573000715 100002000910 110002201001 157146001430 220004402002 550011005005 1100022010010