Search a number
-
+
2002000110110 = 25711131391438849
BaseRepresentation
bin11101001000100000100…
…000010110001000011110
321002101111211101222020022
4131020200200112020132
5230300044012010420
64131412310152142
7264432300105620
oct35104040261036
97071454358208
102002000110110
11702052963150
12284001952652
13116a31a49890
146cc7c376c10
15371238b2c25
hex1d22081621e

2002000110110 has 128 divisors (see below), whose sum is σ = 4873212288000. Its totient is φ = 571855749120.

The previous prime is 2002000110107. The next prime is 2002000110113. The reversal of 2002000110110 is 110110002002.

It is an interprime number because it is at equal distance from previous prime (2002000110107) and next prime (2002000110113).

2002000110110 is a modest number, since divided by 110110 gives 20020 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002000110113) 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, 671966 + ... + 2110814.

It is an arithmetic number, because the mean of its divisors is an integer number (38071971000).

Almost surely, 22002000110110 is an apocalyptic number.

2002000110110 is an abundant number, since it is smaller than the sum of its proper divisors (2871212177890).

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

2002000110110 is a wasteful number, since it uses less digits than its factorization.

2002000110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439026.

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

Adding to 2002000110110 its reverse (110110002002), we get a palindrome (2112110112112).

The spelling of 2002000110110 in words is "two trillion, two billion, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 139 143 154 182 278 286 385 455 695 715 770 910 973 1001 1390 1430 1529 1807 1946 2002 3058 3614 4865 5005 7645 9035 9730 10010 10703 12649 15290 18070 19877 21406 25298 39754 53515 63245 99385 107030 126490 139139 198770 278278 695695 1391390 1438849 2877698 7194245 10071943 14388490 15827339 18705037 20143886 31654678 37410074 50359715 79136695 93525185 100719430 110791373 130935259 158273390 187050370 200000011 205755407 221582746 261870518 400000022 411510814 553956865 654676295 1000000055 1028777035 1107913730 1309352590 1400000077 1440287849 2000000110 2057554070 2200000121 2600000143 2800000154 2880575698 4400000242 5200000286 7000000385 7201439245 11000000605 13000000715 14000000770 14402878490 15400000847 18200001001 22000001210 26000001430 28600001573 30800001694 36400002002 57200003146 77000004235 91000005005 143000007865 154000008470 182000010010 200200011011 286000015730 400400022022 1001000055055 2002000110110