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1010101011100 = 225283197617761
BaseRepresentation
bin11101011001011101011…
…01100100001010011100
310120120020200020221210021
432230232231210022130
5113022141324323400
62052011202121524
7132656146633666
oct16545655441234
93516220227707
101010101011100
1135a421762055
121439209502a4
1374337b91a9c
1436c63b81536
151b41d42871a
hexeb2eb6429c

1010101011100 has 72 divisors (see below), whose sum is σ = 2229592015728. Its totient is φ = 397145548800.

The previous prime is 1010101011091. The next prime is 1010101011103. The reversal of 1010101011100 is 11101010101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101011103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326220 + ... + 1943980.

It is an arithmetic number, because the mean of its divisors is an integer number (30966555774).

Almost surely, 21010101011100 is an apocalyptic number.

1010101011100 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 1010101011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114796007864).

1010101011100 is an abundant number, since it is smaller than the sum of its proper divisors (1219491004628).

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

1010101011100 is a wasteful number, since it uses less digits than its factorization.

1010101011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618055 (or 618048 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1010101011100 its reverse (11101010101), we get a palindrome (1021202021201).

Subtracting from 1010101011100 its reverse (11101010101), we obtain a palindrome (999000000999).

The spelling of 1010101011100 in words is "one trillion, ten billion, one hundred one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 197 332 394 415 788 830 985 1660 1970 2075 3940 4150 4925 8300 9850 16351 19700 32702 65404 81755 163510 327020 408775 617761 817550 1235522 1635100 2471044 3088805 6177610 12355220 15444025 30888050 51274163 61776100 102548326 121698917 205096652 243397834 256370815 486795668 512741630 608494585 1025483260 1216989170 1281854075 2433978340 2563708150 3042472925 5127416300 6084945850 10101010111 12169891700 20202020222 40404040444 50505050555 101010101110 202020202220 252525252775 505050505550 1010101011100