Search a number
-
+
1002222001110 = 2351167101448801
BaseRepresentation
bin11101001010110010001…
…01100001101111010110
310112210220120111202222110
432211121011201233112
5112410022313013420
62044225303411450
7132256665310251
oct16453105415726
93483816452873
101002222001110
11357049212250
121422a2153b86
13736807313b5
14367175b0098
151b10b87bee0
hexe959161bd6

1002222001110 has 128 divisors (see below), whose sum is σ = 2689537540608. Its totient is φ = 236966400000.

The previous prime is 1002222001093. The next prime is 1002222001111. The reversal of 1002222001110 is 111002222001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002222001111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2008710 + ... + 2457510.

It is an arithmetic number, because the mean of its divisors is an integer number (21012012036).

Almost surely, 21002222001110 is an apocalyptic number.

1002222001110 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 1002222001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344768770304).

1002222001110 is an abundant number, since it is smaller than the sum of its proper divisors (1687315539498).

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

1002222001110 is a wasteful number, since it uses less digits than its factorization.

1002222001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448990.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002222001110 its reverse (111002222001), we get a palindrome (1113224223111).

The spelling of 1002222001110 in words is "one trillion, two billion, two hundred twenty-two million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 101 110 134 165 201 202 303 330 335 402 505 606 670 737 1005 1010 1111 1474 1515 2010 2211 2222 3030 3333 3685 4422 5555 6666 6767 7370 11055 11110 13534 16665 20301 22110 33330 33835 40602 67670 74437 101505 148874 203010 223311 372185 446622 448801 744370 897602 1116555 1346403 2233110 2244005 2692806 4488010 4936811 6732015 9873622 13464030 14810433 24684055 29620866 30069667 45328901 49368110 60139334 74052165 90209001 90657802 135986703 148104330 150348335 180418002 226644505 271973406 300696670 330766337 451045005 453289010 498617911 661532674 679933515 902090010 992299011 997235822 1359867030 1495853733 1653831685 1984598022 2493089555 2991707466 3037036367 3307663370 4961495055 4986179110 6074072734 7479268665 9111109101 9922990110 14958537330 15185181835 18222218202 30370363670 33407400037 45555545505 66814800074 91111091010 100222200111 167037000185 200444400222 334074000370 501111000555 1002222001110