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1010101001112 = 233272004168653
BaseRepresentation
bin11101011001011101011…
…01100001101110011000
310120120020200020110002100
432230232231201232120
5113022141324013422
62052011202003400
7132656146562610
oct16545655415630
93516220213070
101010101001112
1135a4217555a5
12143920946560
1374337b8a388
1436c63b7ba40
151b41d4257ac
hexeb2eb61b98

1010101001112 has 48 divisors (see below), whose sum is σ = 3126503100240. Its totient is φ = 288600285888.

The previous prime is 1010101001083. The next prime is 1010101001137. The reversal of 1010101001112 is 2111001010101.

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 = 1010101001094 and 1010101001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002083823 + ... + 1002084830.

It is an arithmetic number, because the mean of its divisors is an integer number (65135481255).

Almost surely, 21010101001112 is an apocalyptic number.

1010101001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010101001112 is an abundant number, since it is smaller than the sum of its proper divisors (2116402099128).

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

1010101001112 is a wasteful number, since it uses less digits than its factorization.

1010101001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004168672 (or 2004168665 counting only the distinct ones).

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

Adding to 1010101001112 its reverse (2111001010101), we get a palindrome (3121102011213).

The spelling of 1010101001112 in words is "one trillion, ten billion, one hundred one million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2004168653 4008337306 6012505959 8016674612 12025011918 14029180571 16033349224 18037517877 24050023836 28058361142 36075035754 42087541713 48100047672 56116722284 72150071508 84175083426 112233444568 126262625139 144300143016 168350166852 252525250278 336700333704 505050500556 1010101001112