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1100110001010 = 2353728113012711
BaseRepresentation
bin10000000000100011101…
…010100111001101110010
310220011120120001101202020
4100000203222213031302
5121011011130013020
62201214503132310
7142323515502126
oct20004352471562
93804516041666
101100110001010
11394610463419
12159260744096
137c980810c27
143b361d3d586
151d93a47dc40
hex10023aa7372

1100110001010 has 128 divisors (see below), whose sum is σ = 2724368629248. Its totient is φ = 284094720000.

The previous prime is 1100110000999. The next prime is 1100110001063. The reversal of 1100110001010 is 101000110011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1100110001010.

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 63 ways as a sum of consecutive naturals, for example, 405793555 + ... + 405796265.

It is an arithmetic number, because the mean of its divisors is an integer number (21284129916).

Almost surely, 21100110001010 is an apocalyptic number.

1100110001010 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 1100110001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362184314624).

1100110001010 is an abundant number, since it is smaller than the sum of its proper divisors (1624258628238).

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

1100110001010 is a wasteful number, since it uses less digits than its factorization.

1100110001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100110001010 its reverse (101000110011), we get a palindrome (1201110111021).

The spelling of 1100110001010 in words is "one trillion, one hundred billion, one hundred ten million, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 281 370 555 562 843 1110 1301 1405 1686 2602 2711 2810 3903 4215 5422 6505 7806 8133 8430 10397 13010 13555 16266 19515 20794 27110 31191 39030 40665 48137 51985 62382 81330 96274 100307 103970 144411 155955 200614 240685 288822 300921 311910 365581 481370 501535 601842 722055 731162 761791 1003070 1096743 1444110 1504605 1523582 1827905 2193486 2285373 3009210 3527011 3655810 3808955 4570746 5483715 7054022 7617910 10581033 10967430 11426865 13526497 17635055 21162066 22853730 27052994 28186267 35270110 40579491 52905165 56372534 67632485 81158982 84558801 105810330 130499407 135264970 140931335 169117602 202897455 260998814 281862670 391498221 405794910 422794005 652497035 782996442 845588010 991090091 1304994070 1957491105 1982180182 2973270273 3914982210 4955450455 5946540546 9910900910 14866351365 29732702730 36670333367 73340666734 110011000101 183351666835 220022000202 366703333670 550055000505 1100110001010