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1010100110000 = 2454177756843
BaseRepresentation
bin11101011001011101010…
…10001000001010110000
310120120020121120011201012
432230232222020022300
5113022141112010000
62052011130530052
7132656136161612
oct16545652101260
93516217504635
101010100110000
1135a4211a7043
12143920596928
13743379378a7
1436c639c8db2
151b41d2eb735
hexeb2ea882b0

1010100110000 has 100 divisors (see below), whose sum is σ = 2446972649352. Its totient is φ = 403805568000.

The previous prime is 1010100109987. The next prime is 1010100110029. The reversal of 1010100110000 is 110010101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17741579 + ... + 17798421.

Almost surely, 21010100110000 is an apocalyptic number.

1010100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223486324676).

1010100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1436872539352).

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

1010100110000 is an equidigital number, since it uses as much as digits as its factorization.

1010100110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58648 (or 58627 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010100110000 its reverse (110010101), we get a palindrome (1010210120101).

The spelling of 1010100110000 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1777 2000 2500 3554 5000 7108 8885 10000 14216 17770 28432 35540 44425 56843 71080 88850 113686 142160 177700 222125 227372 284215 355400 444250 454744 568430 710800 888500 909488 1110625 1136860 1421075 1777000 2221250 2273720 2842150 3554000 4442500 4547440 5684300 7105375 8885000 11368600 14210750 17770000 22737200 28421500 35526875 56843000 71053750 101010011 113686000 142107500 202020022 284215000 404040044 505050055 568430000 808080088 1010100110 1616160176 2020200220 2525250275 4040400440 5050500550 8080800880 10101001100 12626251375 20202002200 25252502750 40404004400 50505005500 63131256875 101010011000 126262513750 202020022000 252525027500 505050055000 1010100110000