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10002011110110 = 233561360431461
BaseRepresentation
bin1001000110001100011001…
…0100011011101011011110
31022102011221100111020021000
42101203012110123223132
52302333104321010420
633134505510051130
72051423105451135
oct221430624335336
938364840436230
1010002011110110
113206913579898
121156559349aa6
135772549c27c6
1426815827a91c
1512529679c690
hex918c651bade

10002011110110 has 64 divisors (see below), whose sum is σ = 26715540720960. Its totient is φ = 2662851853440.

The previous prime is 10002011110061. The next prime is 10002011110127. The reversal of 10002011110110 is 1101111020001.

10002011110110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002011110092 and 10002011110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30050221 + ... + 30381240.

It is an arithmetic number, because the mean of its divisors is an integer number (417430323765).

Almost surely, 210002011110110 is an apocalyptic number.

10002011110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002011110110 is an abundant number, since it is smaller than the sum of its proper divisors (16713529610850).

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

10002011110110 is a wasteful number, since it uses less digits than its factorization.

10002011110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60432090 (or 60432084 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10002011110110 its reverse (1101111020001), we get a palindrome (11103122130111).

The spelling of 10002011110110 in words is "ten trillion, two billion, eleven million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 613 1226 1839 3065 3678 5517 6130 9195 11034 16551 18390 27585 33102 55170 82755 165510 60431461 120862922 181294383 302157305 362588766 543883149 604314610 906471915 1087766298 1631649447 1812943830 2719415745 3263298894 5438831490 8158247235 16316494470 37044485593 74088971186 111133456779 185222427965 222266913558 333400370337 370444855930 555667283895 666800740674 1000201111011 1111334567790 1667001851685 2000402222022 3334003703370 5001005555055 10002011110110